Vita and Research Projects

Contents / Quick Links:
Interests, Affiliation, Projects, Positions, Education, Honors, Publications, Presentations, Teaching, Grants, Awards, Service.
Current Teaching:
Ordinary Differential Equations (page in German) (Summer 2012).
Seminar: Selected Topics from Analysis and Numerical Analysis (page in German) (Summer 2012).

Research Interests:
Numerical analysis. Scientific computing. Integro-partial differential equations. Shape optimization. Conductive-radiative heat transfer. Mathematical and computer modeling of materials science. Optimization and control problems. Mathematical fracture mechanics and free discontinuity problems.

Current Position, Academic Affiliation:
Akademischer Rat (literally, the German term 'Akademischer Rat' means 'Academic Councelor'),
Department of Mathematics (in German only), Ludwig-Maximilians University (LMU) Munich,
Theresienstrasse 39, 80333 Munich, Germany.
E-Mail:
(e-mail address is an image due to spam control reasons - please copy it manually - sorry for any inconvenience).
Internet: http://www.math.lmu.de/~philip, Mathematical Genealogy, Private Homepage.
Phone: +49 89 2180 4461. Fax: +49 89 2180 99 4461. Office: Room #332.

Current Research Projects

• Shape Optimization

  Project on shape optimization problems that can be written as optimal control problems subject to (linear or nonlinear elliptic) PDE constraints, where the PDE's domain appears as a variable in the objective functional. Using a fixed domain approach, the unknown domain is encoded via unknown functions of fixed (larger) domain. The objectives include convergence results for numerical approximations as well as the implementation of reliable and efficient simulation software.

• Optimal Control and Numerical Analysis of Conductive-Radiative Heat Transfer

  Motivated by the goal of computing and optimizing heat transfer at high temperatures in crystal growth apparatus, optimal control and numerical analysis of nonlinear elliptic and parabolic partial differential equations coupled via, generally noncompact, integral operators is the subject of this research project, where the numerical analysis focusses on the finite volume method. In part, this project provides the mathematical foundation for the numerical simulation software WIAS-HiTNIHS.

• WIAS-HiTNIHS (pronunciation: ~hit-nice), the WIAS-High Temperature Numerical Induction Heating Simulator

  WIAS-HiTNIHS constitutes a simulation tool for stationary and transient simulations of heat transport in axisymmetric technical systems that are subject to intense heating by induction. More generally, WIAS-HiTNIHS allows the numerical solution and control of nonlinear elliptic and parabolic PDE in both axisymmetric and Cartesian settings. My current software development is focussed on a branch of WIAS-HiTNIHS that is designed for shape optimization problems. WIAS-HiTNIHS is and has been used in the projects Shape Optimization, Crystal Growth in Magnetic Fields (KristMAG), and MATHEON C9: Simulation and Optimization of Semiconductor Crystal Growth from the Melt Controlled by Traveling Magnetic Fields.

• Mathematical Modeling of Brittle Fracture

  Project on the mathematical modeling of crack initiation and propagation in brittle materials using a multiscale approach to local energy functional minimization.

Academic Positions, Experience

2008, April - present, Akademischer Rat (German for 'Academic Councelor'),

Department of Mathematics (in German only), Ludwig-Maximilians University (LMU), Munich, Germany.
Member of the group Applied Mathematics and Numerics chaired by Prof. Laszlo Erdös. The position carries a teaching load of 13 hours per week.
Research: Conducting research within the abovementioned projects Shape Optimization, Optimal Control and Numerical Analysis of Conductive-Radiative Heat Transfer, WIAS-HiTNIHS, and Mathematical Modeling of Brittle Fracture.
Teaching: According to the required teaching load of 13 hours per week, I am continuously teaching lectures, discussion and lab sections, and seminars. For a complete list, use the following link to the section Teaching Experience. My teaching duties also include advising students on their theses and giving oral exams.
Refereed manuscripts for Discrete Mathematics, Mathematics of Computation, and The Open Mechanics Journal.
Admistrative Duties: Local fire prevention agent (filing an annual fire prevention report to the university's central fire prevention office), substitute local rights of the householder agent (Hausrechtsbeauftragter) since 2010, substitute member on W2 professorship selection committee in 2010 (participated in final meeting and voting).

2006, August - 2008, March, Research Associate,

Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin, Germany.
Member of the research group Thermodynamic Modeling and Analysis of Phase Transitions. Research within the applied project Numerical Simulation and Control of Sublimation Growth of Semiconductor Bulk Single Crystals.
Conducted research on mathematical modeling of nonlinear heat and species transport, chemical reactions, free boundaries; on numerical analysis and numerical simulation of nonlinearly and nonlocally coupled parabolic and elliptic integro-partial differential equations; and on optimal control of radiative-conductive heat transfer coupled with electromagnetic heating. Also conducted research on mathematical modeling of brittle fracture using energy functional minimization.
Software development: WIAS-HiTNIHS. Optimizations and modifications of WIAS-HiTNIHS in support of the project Crystal Growth in Magnetic Fields (KristMAG). Developed concepts and started code implementation for a complete redesign of WIAS-HiTNIHS using C++ and pdelib2. Computed numerical results for comparison with the software COMSOL.
Taught class on Optimal Control of Partial Differential Equations at the Humboldt University of Berlin, Germany, Department of Mathematics. Created lecture notes, devised and graded excercises, devised and conducted final oral exams.
Refereed manuscripts for Mathematical Models and Methods in Applied Sciences (M3AS), for the Journal of Fluids Engineering, and for the Journal of Crystal Growth.
Funding:
Grant due to successful proposal by Prof. Dr. Jürgen Sprekels, Dr. Olaf Klein, Prof. Dr. Fredi Tröltzsch (page in German), and Prof. Dr. Arnd Rösch (page in German): German Research Foundation (DFG) within the DFG Research Center MATHEON Mathematics for Key Technologies, Section C9 (2002 - 2010).

2004, September - 2006, August, Industrial Postdoctoral Fellow,

Institute for Mathematics and its Applications (IMA), Minneapolis, USA.
Industrial partner: Corning Incorporated.
First year (September 2004 - August 2005): Based at IMA, Minneapolis, MN, USA.
Second year (September 2005 - August 2006): Based with industrial partner Corning Incorporated at Sullivan Park, Corning, NY, USA.
Conducted research in collaboration with industrial partner Corning Incorporated: Mathematical modeling of crack propagation in brittle materials using a multiscale approach to local energy functional minimization. Determining propensity for failure in ceramics structures using integral, energy-based criteria.
Conducted research in collaboration with WIAS: Numerical analysis and simulation of stationary and transient nonlinear heat transfer including diffuse-gray radiative heat transfer between cavity surfaces: Convergence of a finite volume scheme in the transient case. Control-constrained optimal control in the stationary case. Construction of a new finite volume scheme for problems with strongly anisotropic thermal conductivity in complex geometries, stability shown numerically.
Participated in the IMA Annual Program Mathematics of Materials and Macromolecules: Multiple Scales, Disorder, and Singularities, September 2004 - June 2005, in particular in the program workshops Mathematics of Materials, Modeling of Soft Matter, Singularities in Materials, Future Challenges in Multiscale Modeling and Simulation, and New Paradigms in Computation.
Co-organized minisymposiums at international conferences: Industrial Optimal Control Problems at the SIAM Conference on Mathematics for Industry: Challenges and Frontiers Detroit, MI, USA and Complex Models in Solid and Fluid Mechanics: Methods and Applications in Multi-Physical and Multi-Scaling Problems at the 8th U.S. National Congress on Computational Mechanics, Austin, TX, USA.
Refereed manuscripts for the International Journal of Heat & Mass Transfer and for the Journal of Fluids Engineering. Refereed application for funding submitted to the U.S. Civilian Research & Development Foundation (CRDF).
Software development and support: Implemented code to extend simulation software WIAS-HiTNIHS developed during previous position at Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin. Advised and supported Dr. Jürgen Geiser and Dr. Olaf Klein at WIAS regarding the continuing extension of WIAS-HiTNIHS at WIAS. Created and maintained websites for internet presentation of research. Participated in meetings of the Modeling & Simulation group at Corning Incorporated.

1997, September - 2004, August, Research Associate,

Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin, Germany.
Member of the research group Partial Differential Equations and Variational Equations. Research within the applied project Numerical Simulation and Control of Sublimation Growth of SiC Bulk Single Crystals.
Research conducted on mathematical modeling of nonlinear heat and species transport, chemical reactions, free boundaries; numerical analysis and numerical simulation of nonlinearly and nonlocally coupled parabolic and elliptic integro-partial differential equations.
Software development: WIAS-HiTNIHS: Implemented code based on WIAS program library pdelib, negotiated with pdelib developers, directed and coordinated WIAS-HiTNIHS developers (Christian Meyer: optimization, Jürgen Schefter: GUI, Dr. Jürgen Geiser: concept of entire program). Installed WIAS-HiTNIHS at Institute of Crystal Growth (IKZ), Berlin, Germany, to aide growth experiments. Provided WIAS-HiTNIHS-related software support to IKZ.
Contributed to successful proposals for the first two grants listed under Funding below. Established contact with SiC industry. Created and maintained websites for internet presentation of project. Assisted during oral exams of Prof. Dr. Jürgen Sprekels on Functional Analysis and on Linear Partial Differential Equations. Refereed manuscript for Diamond and Related Materials.
Funding:
Grant due to successful proposal by Prof. Dr. Jürgen Sprekels, Dr. Olaf Klein, Prof. Dr. Fredi Tröltzsch (page in German), Prof. Dr. Arnd Rösch (page in German): German Research Foundation (DFG) within the DFG Research Center MATHEON Mathematics for Key Technologies, Section C9 (2002 - 2006).
Grant due to successful proposal by Prof. Dr. Jürgen Sprekels: German Ministry of Education and Research (BMBF) within the program New Mathematical Methods in Manufacturing and Service Industry, #03SPM3B5 (2001 - 2002).
Grant due to successful proposal by Prof. Dr. Jürgen Sprekels (WIAS): German Ministry of Education and Research (BMBF) within the program Mathematical Methods Solving Problems in Industry and Business #03SP7FV16 (1997 - 2000).

1997, December - 1998, December, Contract Author,

Spektrum Akademischer Verlag, Heidelberg, Germany (Spektrum Akademischer Verlag is now part of Elsevier).
Responsible for the topic Set Theory of the German mathematics encyclopedia Lexikon der Mathematik.

1994, August - 1995, May, Teaching Assistant,

University of Maryland at College Park (UMCP), USA, Department of Mathematics
Taught classes on Precalculus (two parallel sections in both fall and spring semester, each section 3 hours per week, some 30 students in each section). Devised quizzes and exams, graded exams, evaluated student assignments, proctored taking of exams, advised students.

Education

Quick Link: Further Professional Training.

2003, February 03: Humboldt University of Berlin, Germany, Department of Mathematics

Doctoral degree Dr. rer. nat. in mathematics awarded with grade "summa cum laude".
Following successful defense of doctoral thesis
Transient Numerical Simulation of Sublimation Growth of SiC Bulk Single Crystals. Modeling, Finite Volume Method, Results.
Using the following links, you can download the thesis in PDF and in PS format: thesis.pdf, thesis.ps.
Thesis directed by Prof. Dr. Jürgen Sprekels. Thesis referees: Prof. Dr. Jürgen Sprekels, Prof. Dr. Eberhard Bänsch, and Prof. Dr. Martin Brokate.

1997, March 26: Free University of Berlin, Germany, Department of Mathematics and Computer Science

Diplom degree (sometimes considered equivalent to the Masters degree) in mathematics with minor subject physics awarded with grade "mit Auszeichnung" ("with excellence").
Oral exams passed on Topology and Measure Theory (1 hour), Ordinary Differential Equations and Integral Equations (1 hour), Quantum Theory (30 min).
Diplom thesis (sometimes considered equivalent to the Masters thesis) in mathematics titled Extremalpunkte von Mengen von Matrizen mit vorgegebener Randverteilung (Extreme Points of Sets of Matrices With Given Marginals, in German)
directed by Prof. Dr. Ehrhard Behrends (page in German). Thesis referees: Prof. Dr. Ehrhard Behrends (page in German) and Prof. Dr. Dirk Werner.
Using the following links, you can download the thesis in ps- and PDF format: thesis.ps, thesis.pdf.

1995, October - 1997, March: Free University of Berlin, Germany, Department of Mathematics and Computer Science

Student of the Diplom programs in mathematics and in physics.
Course work included Integral Equations, Probability Theory, Differential Topology, Graph Theory.

1994, August - 1995, May: University of Maryland at College Park (UMCP), USA, Department of Mathematics

Two semesters of graduate studies due to an exchange program of the Free University of Berlin, Germany.
Course work included Real Analysis, Ordinary Differential Equations, Dynamical Systems, General Relativity and Gravitation.

1993, September 21: Free University of Berlin, Germany, Department of Mathematics and Computer Science

Vordiplom examinations (intermediate exams for the Diplom program) in mathematics and physics, both passed with grade "sehr gut" ("very good"). Examinations included oral exams on Linear Algebra (30 min), Analysis (30 min), Elementary Probability Theory (30 min), Experimental Physics (30 min), Theoretical Physics (30 min), Computer Science (30 min).

1991, October - 1994, June: Free University of Berlin, Germany, Department of Mathematics and Computer Science

Student of the Diplom programs in mathematics and in physics.
Course work included Distribution Theory, Topology, Functional Analysis, Complex Analysis, Group Theory, Model Theory, Numerical Mathematics, Set Theory, Linear Algebra, Numerical Physics, Quantum Theory, Thermodynamics, Particles and Fields, Theoretical Mechanics, Theoretical Electrodynamics, Experimental Physics, Algorithms and Programming, Computer Organization.

1991, June 07: Albert-Schweitzer-Oberschule (page in German), Berlin, Germany

Graduation from high school (Abitur, school-leaving examination and qualification for university entrance) with grade average 1.1 (1="very good", 2="good", 3="satisfactory", 4="sufficient", 5="unsatisfactory", 6="insufficient",   one needs 4 or better to pass).

1984, Summer - 1991, Summer: Albert-Schweitzer-Oberschule (page in German), Berlin, Germany

High school education.

1978, Summer - 1984, Summer: Evangelische Schule Neukölln (page in German), Berlin, Germany

Elementary school education.

Further Professional Training

2004, Fall: University of Minnesota, Minneapolis, MN, USA

Two training classes organized by the Center for Teaching and Learning Services on Fine Tuning Your Accent: Part I: Word Stress and Enunciation, October 06, 2004; Part II: Fluency and Melody, November 17, 2004.
Training class organized by the Office of Postdoctoral Affairs Writing Fundable Grant Proposals in the Sciences and Engineering, November 08, 2004.

Honors

6. Two-week research visit (July 10-21, 2006) at the Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin, Germany, partially funded by WIAS.

5. Nominated in 2004 by the section Physical Sciences of the Leibniz Association (page in German) for the yearly award for the best doctoral thesis of Leibniz Association researchers (the Leibniz Association has five sections and each section can nominate one candidate). The 2004 award went to the candidate of the section Environmental Research.

   Reports on this nomination can be found on Page 24 in the fourth 2004 edition of the journal Leibniz, the quarterly journal of the Leibniz Association (page in German) and in the article Mathematisches Neuland (Mathematics in Uncharted Territory, in German) of the online science news journal scienzz (in German only).

4. Short talk during the opening ceremony of the DFG Research Center MATHEON Mathematics for Key Technologies of the German Research Foundation (DFG). Title: Produktion bei 3000 Grad mit kühlem Kopf optimieren (Coolly Optimizing Production at 3000 Degrees). Berlin, Germany, November 20, 2002.

3. One-week research visit (September 04-08, 2000) at the Department of Mathematics, University of Pavia, Italy, funded by the VIGONI program.

2. Fellowship for the participation in the Euro Summer School on Mathematical Aspects of Evolving Interfaces, University of Madeira, Funchal, Portugal, July 03-09, 2000.

1. Exchange student within the exchange program between the Free University of Berlin and the University of Maryland at College Park, 1994 - 1995.

Publications

Quick Links: Lecture Notes, Theses, Articles in Refereed Journals, Other Articles, Miscellaneous.

Lecture Notes

In alphabetical order by title:

6. Peter Philip: Calculus I for Computer Science and Statistics Students. Lecture notes created for the corresponding class of Winter Semester 2010/2011 taught at the Department of Mathematics (in German only), Ludwig-Maximilians University Munich, Germany.

   Using the following link, you can download the lecture notes in pdf format: lectureNotes.pdf.

5. Peter Philip: Calculus II for Statistics Students. Lecture notes originally created for the corresponding class of Spring Semester 2008 taught at the Department of Mathematics (in German only), Ludwig-Maximilians University Munich, Germany. Revised and extended for the corresponding classes of Spring Semester 2009 and Spring Semester 2011 taught at LMU Munich.

   Using the following link, you can download the lecture notes in pdf format: lectureNotes.pdf.

4. Peter Philip: Mathematics IV for Geoscience Students: Methods for Solving Ordinary Differential Equations. Lecture notes created for the corresponding class of Spring Semester 2011 taught at the Department of Mathematics (in German only), Ludwig-Maximilians University Munich, Germany.

   Using the following link, you can download the lecture notes in pdf format: lectureNotes.pdf.

3. Peter Philip: Numerical Analysis. Lecture notes originally created for the corresponding class of Winter Semester 2008/2009 taught at the Department of Mathematics (in German only), Ludwig-Maximilians University Munich, Germany. Revised and extended for the corresponding class of Winter Semester 2009/2010 taught at LMU Munich.

   Using the following link, you can download the lecture notes in pdf format: lectureNotes.pdf.

2. Peter Philip: Numerical Methods for Mathematical Finance. Lecture notes created for the corresponding class of Spring Semester 2010 taught at the Department of Mathematics (in German only), Ludwig-Maximilians University Munich, Germany. Revised and extended for the corresponding class of Winter Semester 2011/2012 taught at LMU Munich.

   Using the following link, you can download the lecture notes in pdf format: lectureNotes.pdf.

1. Peter Philip: Optimal Control of Partial Differential Equations. Lecture notes originally created for the corresponding class of Spring Semester 2007 taught at the Department of Mathematics, Humboldt University of Berlin, Germany. Revised and extended for the corresponding class of Spring Semester 2009 taught at the Department of Mathematics (in German only), Ludwig-Maximilians University Munich, Germany.

   Using the following link, you can download the lecture notes in pdf format: lectureNotes.pdf.

Theses

2. Doctoral Thesis: Transient Numerical Simulation of Sublimation Growth of SiC Bulk Single Crystals. Modeling, Finite Volume Method, Results. Successfully defended at the Department of Mathematics, Humboldt University of Berlin, Germany, February 03, 2003. Report No. 22, Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany.

   Using the following links, you can download the thesis in PDF and in PS format: thesis.pdf, thesis.ps, WIAS-Report-22.pdf.

1. Diplom Thesis: Extreme Points of Sets of Matrices With Given Marginals (in German).

   The following links provide access to postscript- and PDF versions of this thesis: original.ps and original.pdf are the original version (the one I turned in, that is); revised.ps and revised.pdf are a revised version, where some improvements where made (e.g., some type errors were corrected, the layout was changed and an index was added as well as a list of symbols).

Articles in Refereed Scientific Journals

19. P.-E. Druet and P. Philip: Noncompactness of integral operators modeling diffuse-gray radiation in polyhedral and transient settings. Integral Equations and Operator Theory (IEOT) 69 (2011), 101-111. DOI: 10.1007/s00020-010-1821-8.

    The article has been revised from its preprint version which is available as a PDF file via the following link: WIAS-Preprint-1493.pdf.

18. P. Philip: Analysis, Optimal Control, and Simulation of Conductive-Radiative Heat Transfer. Mathematics and its Applications / Annals of AOSR 2 (2010), 171-204.

17. O. Klein, Ch. Lechner, P.-E. Druet, P. Philip, J. Sprekels, Ch. Frank-Rotsch, F.-M. Kießling, W. Miller, U. Rehse, P. Rudolph: Numerical simulations of the influence of a traveling magnetic field, generated by an internal heater-magnet module, on liquid encapsulated Czochralski crystal growth, Magnetohydrodynamics 45 (2009), 257-267. Special Issue: Selected papers of the International Scientific Colloquium Modelling for Electromagnetic Processing, Hannover, Germany, October 27-29, 2008.

16. P. Philip: A Quasistatic Crack Propagation Model Allowing for Cohesive Forces and Crack Reversibility, Interaction and Multiscale Mechanics: an International Journal (IMMIJ) 2 (2009), 31-44.

15. J. Geiser, O. Klein, P. Philip: A finite volume scheme designed for anisotropic heat transfer in general polyhedral domains, Advances in Mathematical Sciences and Applications (AMSA) 18 (2008), 43-67.

    The article has been revised from its preprint version which is available as a PDF file via the following link: IMA-Preprint-2046.pdf.
    Alternatively, the preprint version is also available as a PDF file via the following link: WIAS-Preprint-1033.pdf.

14. O. Klein, Ch. Lechner, P.-E. Druet, P. Philip, J. Sprekels, Ch. Frank-Rotsch, F.-M. Kießling, W. Miller, U. Rehse, P. Rudolph: Numerical simulation of Czochralski crystal growth under the influence of a traveling magnetic field generated by an internal heater-magnet module (HMM), Journal of Crystal Growth 310 (2008), 1523 - 1532. Special Issue: Proceedings of the 15th International Conference on Crystal Growth (ICCG-15) in conjunction with the International Conference on Vapor Growth and Epitaxy and the US Biennial Workshop on Organometallic Vapor Phase Epitaxy, Salt Lake City, USA, August 12-17, 2007. DOI link.

13. J. Geiser, O. Klein, P. Philip: Numerical simulation of temperature fields during the sublimation growth of SiC single crystals, using WIAS-HiTNIHS, Journal of Crystal Growth 303 (2007), 352 - 356. Special Issue: Proceedings of the Fifth Workshop on Modeling in Crystal Growth - IWMCG-5, Bamberg, Germany, September 10-13, 2006. DOI link.

12. J. Geiser, O. Klein, P. Philip: Transient numerical study of temperature gradients during sublimation growth of SiC: Dependence on apparatus design, Journal of Crystal Growth 297 (2006), 20 - 32.

    The article has been revised from its preprint version which is available as a PDF file via the following link: IMA-Preprint-2079.pdf.
    Alternatively, the preprint version is also available as a PDF file via the following link: WIAS-Preprint-1080.pdf.

11. J. Geiser, O. Klein, P. Philip: Influence of anisotropic thermal conductivity in the apparatus insulation for sublimation growth of SiC: Numerical investigation of heat transfer, Crystal Growth & Design 6 (2006), 2021 - 2028.

    The article has been revised from its preprint version which is available as a PDF file via the following link: IMA-Preprint-2048.pdf.
    Alternatively, the preprint version is also available as a PDF file via the following link: WIAS-Preprint-1034.pdf.

10. C. Meyer, P. Philip, F. Tröltzsch: Optimal Control of a Semilinear PDE with Nonlocal Radiation Interface Conditions, SIAM Journal on Control and Optimization (SICON) 45 (2006), 699-721.

    The article has been slightly revised from its preprint version which is available as a PDF file via the following link: IMA-Preprint-2002.pdf.
    Alternatively, the preprint version is also available as a PS or PDF file via the following overview webpage: TU-Preprint-2004/33; or as a PDF file via the following link: WIAS-Preprint-976.pdf.

9. C. Meyer, P. Philip: Optimizing the temperature profile during sublimation growth of SiC single crystals: Control of heating power, frequency, and coil position, Crystal Growth & Design 5 (2005), 1145-1156.

   This article has been minorly revised from its preprint version which is available as a PDF file via the following link: WIAS-Preprint-895.pdf.

8. O. Klein, P. Philip: Transient conductive-radiative heat transfer: Discrete existence and uniqueness for a finite volume scheme, Mathematical Models and Methods in Applied Sciences (M3AS) 15 (2005), 227-258.

   This article has been revised from its preprint version which is available as a PDF file via the following link: WIAS-Preprint-871.pdf.

7. O. Klein, P. Philip, J. Sprekels: Modeling and simulation of sublimation growth of SiC bulk single crystals, Interfaces and Free Boundaries 6 (2004), 295-314.

6. O. Klein, P. Philip: Transient temperature phenomena during sublimation growth of silicon carbide single crystals, Journal of Crystal Growth 249 (2003), 514-522.

   This article has been slightly revised from its preprint version which is available as a PDF file via the following link: WIAS-Preprint-755.pdf.

5. O. Klein, P. Philip: Transient numerical investigation of induction heating during sublimation growth of silicon carbide single crystals, Journal of Crystal Growth 247 (2003), 219-235.

   This article has been revised from its preprint version which is available as a PDF file via the following link: WIAS-Preprint-659.pdf.

4. O. Klein, P. Philip: Correct voltage distribution for axisymmetric sinusoidal modeling of induction heating with prescribed current, voltage, or power, IEEE Transactions on Magnetics 38 (2002), No. 3, 1519-1523.

   This article has been slightly revised from its preprint version which is available as a PDF file via the following link: WIAS-Preprint-669.pdf.

3. O. Klein, P. Philip, J. Sprekels, K. Wilmanski: Radiation- and convection-driven transient heat transfer during sublimation growth of silicon carbide single crystals, Journal of Crystal Growth 222 (2001), 832-851.

   This article has been revised from its preprint version which is available as a PDF file via the following link: WIAS-Preprint-552.pdf.

2. N. Bubner, O. Klein, P. Philip, J. Sprekels, K. Wilmanski: A transient model for the sublimation growth of silicon carbide single crystals, Journal of Crystal Growth 205 (1999), 294-304.

   This article has been slightly revised from its preprint version which is available as a PDF file via the following link: WIAS-Preprint-443.pdf.

1. P. Philip: Cardinality and structure of extreme infinite doubly stochastic matrices, Archiv der Mathematik 71 (1998), 417-424. Also see Mathematical Reviews, 99h:15021.

   This article consists of a minorly revised version of the preprint Some Remarks on Extreme Infinite Doubly Stochastic Matrices, Free University of Berlin, Department of Mathematics and Computer Science, Series A, # 7, 1997. This preprint is available via the Preprints, Series A 1997 webpage. It is found as the 7th preprint in the list on that page.

Articles in Conference Proceedings, Collections, and Miscellaneous

23. O. Klein, Ch. Lechner, P.-E. Druet, P. Philip, J. Sprekels, Ch. Frank-Rotsch, F.-M. Kießling, W. Miller, U. Rehse, P. Rudolph: Numerical simulations of the influence of a traveling magnetic field, generated by an internal heater-magnet module, on Czochralski crystal growth. In: Proceedings of the International Scientific Colloquium MODELLING FOR ELECTROMAGNETIC PROCESSING, Hannover, Germany, October 27-29, 2008. Published online at http://www.modlab.lv/publications/MEP2008/pdfs/103-108.pdf

22. P. Philip: Optimal Control of Conductive-Radiative Temperature Fields Generated via Electromagnetic Heating, pp. 631-633 in Oberwolfach Report No. 13/2008 on the Oberwolfach workshop on Optimal Control of Coupled Systems of PDE, Oberwolfach, Germany, March 2-8, 2008. Published online at http://www.mfo.de/document/0810/OWR_2008_13.pdf

21. P. Philip: A Quasistatic Crack Propagation Model Allowing for Cohesive Forces and Crack Reversibility in Proceedings of APCOM'07 in conjunction with EPMESC XI, Kyoto, Japan, December 3-6, 2007, CD-ROM.

20. P. Philip, M. Ravichandran: RTR 102862, Corning Incorporated restricted technical report, Corning, NY, USA, 2006.

19. P. Philip: A Quasistatic Crack Propagation Model Allowing for Cohesive Forces and Reversibility Using Local Energy Minimization, Corning Incorporated nonrestricted technical report NTR 102855, Corning, NY, USA, 2006.

18. P. Philip: A Quasistatic Crack Propagation Model Allowing for Cohesive Forces and Reversibility, Corning Incorporated nonrestricted technical report NTR 102677, Corning, NY, USA, 2006.

17. J. Geiser, O. Klein, P. Philip: Transient Modeling of Sublimation Growth of SiC Single Crystals: Effect of Process Design on Temperature Gradient Evolution in Proceedings of the 8th U.S. National Congress on Computational Mechanics, Austin, TX, USA, July 25-27, 2005, CD-ROM.

16. J. Geiser, O. Klein, P. Philip: WIAS-HiTNIHS: Software-tool for simulation in sublimation growth for SiC single crystal: Application and Methods in Proceedings of the International Congress of Nanotechnology, San Francisco, November 7-10, 2004.

15. O. Klein, P. Philip, J. Schefter, J. Sprekels: Numerical simulation and optimization of SiC single crystal growth by sublimation from the gas phase in Annual Research Report 2003 of the Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin, Germany.

14. P. Philip: Die Geschichte der Mengenlehre (The History of Set Theory, in German) in: Guido Walz (editor): Faszination Mathematik (Fascination Mathematics), pp. 45-48, Spektrum Akademischer Verlag, Heidelberg, Germany (Spektrum Akademischer Verlag is now part of Elsevier), 2003. This article was previously published as article # 6 below.

13. P. Philip: (Axiomatische) Mengenlehre ((Axiomatic) Set Theory, in German) in: Guido Walz (editor): Faszination Mathematik (Fascination Mathematics), pp. 142-148, Spektrum Akademischer Verlag, Heidelberg, Germany (Spektrum Akademischer Verlag is now part of Elsevier), 2003. This article is a shortened version of article # 3 below.

12. J. Sprekels, O. Klein, P. Philip, K. Wilmanski: Optimal Control of Sublimation Growth of SiC Crystals, pp. 343-354 in W. Jäger, H.-J. Krebs (Eds): Mathematics - Key Technology for the Future, Springer-Verlag, Heidelberg, Germany, 2003.

11. O. Klein, P. Philip, J. Schefter, J. Sprekels: Numerical Simulation and Control of Sublimation Growth of SiC Bulk Single Crystals in Annual Research Report 2002 of the Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin, Germany.

10. P. Philip: Produktion bei 3000 Grad mit kühlem Kopf optimieren (Coolly Optimizing Production at 3000 Degrees, in German). Article provided for a press conference on the occasion of the opening ceremony of the DFG Research Center MATHEON Mathematics for Key Technologies of the German Research Foundation (DFG), November 2002.

9. O. Klein, P. Philip: Induction Heating During SiC Growth by PVT: Aspects of Axisymmetric Sinusoidal Modeling, pp. 271-276 in Proceedings of the 10-th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, Graz, Austria, September 16-18, 2002, CD-ROM, ISBN: 3-901351-65-5. Using the following link, you can download the article in PDF format.

8. O. Klein, P. Philip, J. Sprekels, K. Wilmanski: Numerical simulation and optimization of SiC single crystal growth by sublimation from the gas phase in Annual Research Report 2001 of the Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin, Germany.

7. P. Philip: Kardinalzahlen und Ordinalzahlen (Cardinals and Ordinals, in German) in Lexikon der Mathematik (German mathematics encyclopedia), Vol. 3, pp. 84-88, Spektrum Akademischer Verlag, Heidelberg, Germany (Spektrum Akademischer Verlag is now part of Elsevier), 2001.

6. P. Philip: Geschichte der Mengenlehre (History of Set Theory, in German) in Lexikon der Mathematik (German mathematics encyclopedia), Vol. 2, pp. 284-285, Spektrum Akademischer Verlag, Heidelberg, Germany (Spektrum Akademischer Verlag is now part of Elsevier), 2001.

5. O. Klein, P. Philip: Transient Numerical Simulation of Sublimation Growth of SiC Single Crystals, in K.-H. Hoffmann (ed.): Smart Materials, Proceedings of the 1st caesarium, Bonn, November 17-19, 1999, pp. 127-136, Springer-Verlag, Berlin, Germany, 2001.

4. O. Klein, P. Philip, J. Sprekels, K. Wilmanski: Optimale Steuerung der Sublimationszüchtung von SiC-Kristallen in Annual Research Report 2000 (report and page in German) of the Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin, Germany.

3. P. Philip: Axiomatische Mengenlehre (Axiomatic Set Theory, in German) in Lexikon der Mathematik (German mathematics encyclopedia), Vol. 1, pp. 147-150, Spektrum Akademischer Verlag, Heidelberg, Germany (Spektrum Akademischer Verlag is now part of Elsevier), 2000.

2. O. Klein, P. Philip, J. Sprekels, K. Wilmanski: Optimale Steuerung der Sublimationszüchtung von SiC-Kristallen in Annual Research Report 1999 (report and page in German) of the Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin, Germany.

1. N. Bubner, O. Klein, P. Philip, J. Sprekels, K. Wilmanski: Optimale Steuerung der Sublimationszüchtung von SiC-Kristallen in Annual Research Report 1998 (report and page in German) of the Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin, Germany.

Miscellaneous

1. Entries for the section Set Theory of the German mathematics encyclopedia Lexikon der Mathematik of the Spektrum Akademischer Verlag, Heidelberg, Germany (Spektrum Akademischer Verlag is now part of Elsevier). Contributions were finished and submitted in December 1998 and accepted for publication in the encyclopedia in April 1999. The encyclopedia has been published as 5 volumes plus 1 index volume: Volume 1 (2000), Volumes 2 and 3 (2001), Volumes 4 and 5 (2002), Index Volume (2003).

Presentations

Quick Links: Invited Conference Talks, Other Conference Talks, Public Lecture, Other Talks, Posters.

Invited Conference Talks

4. Optimal Control of Conductive-Radiative Temperature Fields Generated via Electromagnetic Heating, meeting on "Optimal Control of Coupled Systems of PDE", Oberwolfach, Germany, March 03, 2008.

   Using the following link, you can view and download the talk in PDF format: talk.pdf.

3. Towards Optimal Control of Sublimation Growth of SiC Bulk Single Crystals, minisymposium "Inverse Problems in Material Science" at the conference "Applied Inverse Problems: Theoretical and Computational Aspects", Lake Arrowhead, CA, USA, May 20, 2003.

   Using the following link, you can view and download the talk in PDF format: talk.pdf.

2. Summer School Lecture on Stationary and Transient Simulation, WE-HERAEUS-FERIENKURS on "SiC and GaN - Materials for Power- and Opto-Electronics", Cottbus, Germany, September 03 - September 14, 2001.

1. Transient Numerical Simulation of Sublimation Growth of SiC Single Crystals, meeting on "Optimal Control of Complex Dynamic Structures", Oberwolfach, Germany, June 05, 2000.

Other International Conference Talks

6. A Quasistatic Crack Propagation Model Allowing for Cohesive Forces and Crack Reversibility, minisymposium "Recent Advances in Interaction and Multiscale Mechanics" at the APCOM'07 in conjunction with EPMESC XI, Kyoto, Japan, December 3-6, 2007.

   Using the following link, you can view and download the talk in PDF format: talk.pdf.

5. Optimal Control of the Heat Transfer During Sublimation Growth of Silicon Carbide Single Crystals, minisymposium "Industrial Optimal Control Problems" at the SIAM Conference on Mathematics for Industry: Challenges and Frontiers, Detroit, MI, USA, October 24-26, 2005.

   Using the following link, you can view and download the talk in PDF format: talk.pdf.

4. Transient Modeling of Sublimation Growth of SiC Single Crystals: Effect of Process Design on Temperature Gradient Evolution, minisymposium "Complex Models in Solid and Fluid Mechanics: Methods and Applications in Multi-Physical and Multi-Scaling Problems" at the 8th U.S. National Congress on Computational Mechanics, Austin, TX, USA, July 25-27, 2005.

   Using the following link, you can view and download the talk in PDF format: talk.pdf.

3. Transient Numerical Simulation of Sublimation Growth of SiC Single Crystals, PhTIEE "Phase Transitions and Interfaces in Evolution Equations: analysis, control, and approximation", Santa Margherita Ligure, Italy, February 09, 2000.

2. Transient Numerical Simulation of Sublimation Growth of SiC Single Crystals, 1st caesarium "Smart Materials", caesar, Bonn, Germany, November 19, 1999.

1. A Model for the Sublimation Growth of Silicon Carbide Single Crystals Including Heat Transfer by Radiation, workshop "Systems with Hysteresis", WIAS, Berlin, Germany, September 20, 1999.

Lectures to the General Public

2. Produktion bei 3000 Grad mit kühlem Kopf optimieren (Coolly Optimizing Production at 3000 Degrees). Short talk during the opening ceremony of the DFG Research Center MATHEON Mathematics for Key Technologies of the German Research Foundation (DFG).

1. Siliciumcarbid - ein Material mit Tradition und Zukunft (Silicon Carbide - a Material with Tradition and Future). Joint talk with D. Siche at the Urania Berlin, Germany, January 24, 2002. You can use the following link to see a Microsoft Powerpoint version of this talk (in German): slides.ppt.

Selected Talks at Colloquiums, Workshops, and Seminars

27. Seminar talk at the Department of Mathematics (in German only), University of Regensburg: PDE-Driven Shape Optimization Via a Fixed-Domain Method: Analysis and Numerical Results. Regensburg, Germany, April 27, 2012.

26. Seminar talk at the Department of Mathematics and Computer Science (in German only), TU Bergakademie Freiberg: Analysis and Numerical Simulation of Shape Design via Control of a Shape Function on a Fixed Domain. Freiberg, Germany, March 19, 2012.

25. Seminar talk at the Institute of Mathematics of the Romanian Academy (IMAR): Modeling Diffuse-Gray Radiation via Noncompact Integral Operators on Polyhedral Domains and/or in Transient Settings. Bucharest, Romania, April 1, 2011.

24. Seminar talk at the Institute of Mathematics of the Romanian Academy (IMAR): Numerical Analysis, Control, and Simulation of Conductive-Radiative Heat Transfer. Bucharest, Romania, August 7, 2009.

23. Talk in the Applied Analysis/Mathematical Physics Seminar of the Department of Mathematics (in German only), Ludwig Maximilians University: Numerical Analysis, Control, and Simulation of Conductive-Radiative Heat Transfer. Munich, Germany, October 24, 2008.

22. Talk at the Center Days colloquium of the DFG Research Center MATHEON Mathematics for Key Technologies: Numerical Simulation and Control of Sublimation Growth of Semiconductor Bulk Single Crystals, Berlin, Germany, April 7, 2008.

21. Seminar talk at the Aachen Institute for Advanced Study in Computational Engineering Science (AICES), RWTH Aachen University: Numerical Analysis and Control of Conductive-Radiative Heat Transfer. Aachen, Germany, January 29, 2008.

20. Seminar talk at the Mathematics Applications Consortium for Science and Industry, University of Limerick: Numerics and Optimal Control of Nonlinear Conductive-Radiative Heat Transfer. Limerick, Ireland, July 20, 2007.

19. Seminar talk at the Department of Mathematics (in German only), Ludwig Maximilians University: Numerik und optimale Steuerung nichtlinearer Wärmeleitung mit Strahlung. Munich, Germany, July 07, 2007.

18. Joint talk with Irwin Yousept at the C-Day colloquium of the DFG Research Center MATHEON Mathematics for Key Technologies: Numerical simulation and control of sublimation growth of semiconductor bulk single crystals, Berlin, Germany, May 21, 2007. You can use the following link to see a PDF version of this talk: slides.pdf.

17. Talk in the weekly seminar of the research group Thermodynamic Modeling and Analysis of Phase Transitions of the Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin, Germany: A Quasistatic Crack Propagation Model Allowing for Cohesive Forces and Crack Reversibility. Berlin, Germany, July 10, 2006.

16. Talk in the Postdoc Seminar of the Institute for Mathematics and its Applications (IMA), University of Minnesota: A Quasistatic Crack Propagation Model Allowing for Cohesive Forces and Crack Reversibility Using Local Energy Minimization. Minneapolis, MN, USA, May 09, 2006.

15. Seminar talk at the Department of Mathematics, Southern Methodist University: A Finite Volume Scheme for Transient Nonlocal Conductive-Radiative Heat Transfer. Dallas, TX, USA, April 06, 2006.

14. Seminar talk at the Department of Mathematical Sciences, Kent State University: A Finite Volume Scheme for Transient Nonlocal Conductive-Radiative Heat Transfer. Kent, OH, USA, March 03, 2006.

13. Seminar talk at the Department of Mathematics, University of South Carolina: A Finite Volume Scheme for Transient Nonlocal Conductive-Radiative Heat Transfer. Columbia, SC, USA, January 17, 2006.

12. Talk in the weekly seminar of the Modeling and Simulation department at Corning Incorporated: Modeling Fracture in Brittle Materials: From the Griffith Crack to Cohesive Forces and Energy Minimization. Corning, NY, USA, November 07, 2005.

11. Talk in the Postdoc Seminar of the Institute for Mathematics and its Applications (IMA), University of Minnesota: A Finite Volume Scheme for Transient Nonlocal Conductive-Radiative Heat Transfer, Part 2: Convergence to the Weak Solution. Minneapolis, MN, USA, June 20, 2005.

10. Talk in the Postdoc Seminar of the Institute for Mathematics and its Applications (IMA), University of Minnesota: A Finite Volume Scheme for Transient Nonlocal Conductive-Radiative Heat Transfer, Part 1: Formulation and Discrete Maximum Principle. Minneapolis, MN, USA, May 31, 2005. You can use the following link to see a PDF version of this talk: slides.pdf.

9. Talk in the seminar Applied Mathematics and Numerical Analysis in the School of Mathematics of the University of Minnesota: Numerical Simulation and Control of Sublimation Growth of SiC Bulk Single Crystals: Modeling, Finite Volume Method, Analysis and Results. Minneapolis, MN, USA, September 16, 2004. You can use the following link to see a PDF version of this talk: slides.pdf.

8. Talk for the "Show and Tell" at the Institute for Mathematics and its Applications (IMA), University of Minnesota: Numerical Simulation and Control of Sublimation Growth of SiC Bulk Single Crystals: Modeling, Finite Volume Method, Analysis and Results. Minneapolis, MN, USA, September 15, 2004. You can use the following link to see a PDF version of this talk: slides.pdf.

7. Seminar talk at Corning Inc. Numerical Simulation and Control of Sublimation Growth of SiC Bulk Single Crystals: Modeling, Finite Volume Method, Analysis and Results. Corning, NY, USA, September 08, 2004. This talk is almost the same as talk #10 above. You can use the following link to see a PDF version of talk #10: slides.pdf.

6. Defense Colloquium for the doctoral thesis Transient Numerical Simulation of Sublimation Growth of SiC Bulk Single Crystals. Modeling, Finite Volume Method, Results. Department of Mathematics, Humboldt University of Berlin, Germany, February 03, 2003.

5. WIAS-HiTNIHS - Transient Simulation with the High Temperature Numerical Induction Heating Simulator, 2nd dgkk Workshop "Applied Simulation in Crystal Growth", Memmelsdorf, Germany, October 10, 2002.

4. Numerical Simulation of SiC Bulk Single Crystal Growth by Sublimation, dgkk Workshop "Applied Simulation in Crystal Growth", Aufseß, Germany, February 14, 2001.

3. Nonlinear Heat Transport Including Diffusion and Convection: Discrete Existence and Uniqueness for a Finite Volume Scheme, University of Pavia, Italy, September 06, 2000.

2. Zeitabhängige Modellierung der Sublimationszüchtung von SiC-Einkristallen (Transient Modeling of Sublimation Growth of SiC Single Crystals). Colloquium of the Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin, Germany, April 17, 2000.

1. Transient numerical simulation of sublimation growth of SiC single crystals, Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin, Germany, September 16, 1999.

Poster Presentations

15. O. Klein, P. Philip, J. Geiser, D. Siche, J. Wollweber: Numerical investigation of the influence of an anisotropic insulation felt on the temperature field in a PVT growth apparatus, 15th International Conference on Crystal Growth in conjunction with the 13th Conference on Vapor Growth and Epitaxy and the US Biennial Workshop on Organometallic Vapor Phase Epitaxy, Salt Lake City, UT, USA, August 12 - 17, 2007.

14. O. Klein, Ch. Lechner, P.-E. Druet, P. Philip, J. Sprekels, Ch. Frank-Rotsch, F.-M. Kießling, W. Miller, U. Rehse, P. Rudolph: Numerical simulation of Czochralski crystal growth under the influence of a traveling magnetic field generated by an internal heater-magnet module (HMM), 15th International Conference on Crystal Growth in conjunction with the 13th Conference on Vapor Growth and Epitaxy and the US Biennial Workshop on Organometallic Vapor Phase Epitaxy, Salt Lake City, UT, USA, August 12 - 17, 2007.

13. P. Philip: A Quasistatic Crack Propagation Model Allowing for Cohesive Forces and Crack Reversibility, FBP 2006 -- Recent Advances in Free Boundary Problems and Related Topics, Levico, Italy, September 14-16, 2006.

12. J. Geiser, O. Klein, P. Philip: Numerical Simulation of Temperature Fields During the Sublimation Growth of SiC Single Crystals, Using WIAS-HiTNIHS, 5th International Workshop on Modeling in Crystal Growth (IWMCG-5), Bamberg, Germany, September 10-13, 2006.

11. J. Geiser, O. Klein, P. Philip: Numerical Simulation of Heat Transfer in Materials with Anisotropic Thermal Conductivity: A Finite Volume Scheme to Handle Complex Geometries, Workshop "New Paradigms in Computation" at the Institute for Mathematics and its Applications (IMA), University of Minnesota, Minneapolis, MN, USA, March 28-30, 2005. You can use the following link to see a pdf slide version of this poster: slides.pdf.

10. J. Geiser, O. Klein, C. Meyer, P. Philip. J. Sprekels, F. Tröltzsch: Numerical Simulation and Control of Sublimation Growth of SiC Bulk Single Crystals, Workshop "Future Challenges in Multiscale Modeling and Simulation" at the Institute for Mathematics and its Applications (IMA), University of Minnesota, Minneapolis, MN, USA, November 18, 2004. You can use the following link to see a pdf slide version of this poster: slides.pdf.

9. C. Meyer, P. Philip. F. Tröltzsch: Optimal Control of a PDE with Weakly Singular Integral Operator: Tuning Temperature Fields During Crystal Growth, Workshop "Singularities in Materials" at the Institute for Mathematics and its Applications (IMA), University of Minnesota, Minneapolis, MN, USA, October 25, 2004. You can use the following link to see a pdf slide version of this poster: slides.pdf.

8. P. Philip: Numerical Simulation and Control of Sublimation Growth of SiC Bulk Single Crystals: Modeling, Finite Volume Method, Analysis and Results, "Show and Tell" at the Institute for Mathematics and its Applications (IMA), University of Minnesota, Minneapolis, MN, USA, September 15, 2004. You can use the following link to see a pdf slide version of this poster: slides.pdf.

7. C. Meyer, O. Klein, P. Philip. A. Rösch, J. Sprekels, F. Tröltzsch: Optimalsteuerung bei der Herstellung von SiC-Einkristallen (Optimal Control During the Production of SiC Single Crystals, in German), public event MathInside - There Is Mathematics Everywhere of the DFG Research Center MATHEON Mathematics for Key Technologies, Berlin, on the occasion of the Open Day at the Urania Berlin, September 13, 2003.

6. O. Klein, P. Philip, J. Schefter, J. Sprekels: Numerical Simulation and Control of SiC Bulk Single Crystal Growth, BMBF Review Colloquium "New Mathematical Methods in Manufacturing and Service Industry", Ludwigshaven, Germany, December 16 - December 17, 2002. You can use the following link to see a PDF version of this poster: poster.pdf

5. O. Klein, P. Philip: Induction Heating During SiC Growth by PVT: Aspects of Axisymmetric Sinusoidal Modeling, 10-th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, Graz, Austria, September 16 - September 18, 2002.

4. O. Klein, P. Philip, J. Sprekels, K. Wilmanski: Numerical Simulation and Control of SiC Bulk Single Crystal Growth, BMBF Review Colloquium "Mathematical Methods Solving Problems in Industry and Business" and "New Mathematical Methods in Manufacturing and Service Industry", Frankfurt am Main, Germany, December 11 - December 12, 2000.

3. N. Bubner, O. Klein, P. Philip, J. Sprekels, K. Wilmanski: A Transient Model for the Sublimation Growth of Silicon Carbide Single Crystals, Workshop "Crystal Growth Meeting Germany-Japan-Poland", Institute of Crystal Growth (IKZ), Berlin, Germany, April 19 - April 20, 1999.

2. N. Bubner, O. Klein, P. Philip, J. Sprekels, K. Wilmanski: Optimale Steuerung der Sublimations-Züchtung von SiC-Kristallen (Optimal Control of Sublimation Growth of SiC Crystals, in German), BMBF Review Colloquium "Mathematical Methods Solving Problems in Industry and Business", Erlangen, February 17 - February 19, 1999.

1. N. Bubner, O. Klein, P. Philip, J. Sprekels, K. Wilmanski: Optimale Steuerung der Sublimations-Züchtung von SiC-Kristallen (Optimal Control of Sublimation Growth of SiC Crystals, in German), BMBF Review Colloquium "Mathematics - Key Technology for the Future", Heidelberg, Germany, 1997.

Teaching Experience

Quick Links: Classes Taught, Theses Advised, Exams, Miscellaneous.

• Current Teaching:
  Ordinary Differential Equations (page in German) (Summer 2012).
  Seminar: Selected Topics from Analysis and Numerical Analysis (page in German) (Summer 2012).

• Classes Taught:

  • Lectures:
    (click on a year to view more information about each class)

    9. Numerical Methods for Mathematical Finance:
       2011/2012. 2010.
       lectureNotes.pdf

    8. Computer-Aided Mathematics:
       2011/2012. 2008/2009.

    7. Mathematics IV for Geoscience Students:
       2011.
       lectureNotes.pdf

    6. Calculus II for Statistics Students:
       2011, 2009, 2008.
       lectureNotes.pdf

    5. Calculus I for Computer Science and Statistics Students:
       2010/2011.
       lectureNotes.pdf

    4. Numerical Analysis:
       2009/2010, 2008/2009.
       lectureNotes.pdf

    3. Optimal Control of Partial Differential Equations:
       2009, 2007.
       lectureNotes.pdf

    2. Stationary and Transient Simulation:
       2001.

    1. Precalculus:
       1995, 1994.

  • Discussion and Lab Sections:
    (click on a year to view more information about each class)

    7. Numerical Methods for Mathematical Finance:
       2011/2012. 2010.

    6. Calculus II for Statistics Students:
       2011, 2009, 2008.

    5. Calculus I for Computer Science and Statistics Students:
       2010/2011.

    4. Numerical Analysis:
       2009/2010, 2008/2009.

    3. Programming II for Math Students:
       2009/2010.

    2. Matlab:
       2008.

    1. Programming I for Math Students:
       2008.

  • Seminars:
    (click on a year to view more information about each class)

    1. Selected Topics from Analysis and Numerical Analysis:
       2011/2012, 2011, 2010/2011, 2010.

• Theses Advised (all at Ludwig-Maximilians University Munich, Germany, Department of Mathematics (page in German only)):

  Qualifying Thesis for State Exam (Teacher Program):

  • 2011: Thomas Luther, Application of Multistep Methods for the Solution of Ordinary Differential Equations (in German).

  Bachelor Theses:

  19. 2012: Antonia Löffler, Basic Theory and Applications of Real-Valued Discrete Martingales (in German).

  18. 2012: Bernhard Hiergeist, Localization and Numerical Computation of Eigenvalues (in German).

  17. 2012: Sebastian Samweber, Stability for Ordinary Differential Equations (in German).

  16. 2012: Maurice Schepp, Numerical Methods for the Computation of Eigenvalues (in German).

  15. 2011: Janina Bleicher, Theory and Implementation of Explicit One-Step Methods for Ordinary Differential Equations (in German).

  14. 2011: Sebastian Lerch, Linear Optimization: The Simplex Algorithm (in German).

  13. 2011: Stefano Paratore, Theory of Legrendre's and Hermite's Differential Equations (in German).

  12. 2011: Henry Alvorado Port, Theory of Several Methods for Random Number Generation (in German).

  11. 2011: Philip Maximilian Teichgräber, Theory and Implementation of Finite Elements for Elliptic Partial Differential Equations (in German).

  10. 2011: Eva Dietrich, Theory and Implementation of Numerical Methods for the Solution of Boundary Value Problems for Ordinary Differential Equations (in German).

  9. 2011: Dorothea Engbroks, Analysis of Explicit Single-Step Methods for the Solution of Initial Value Problems for Ordinary Differential Equations (in German).

  8. 2011: Florian Geiß, Theory and Implementation of a Primal-Dual Simplex Algorithm.

  7. 2011: Korbinian Graser, Theory and Implementation of Explicit Single-Step Methods for Initial Value Problems for Ordinary Differential Equations (in German).

  6. 2011: Susanne Rospleszcz, Theory of Polynomial Spline Interpolation (in German).

  5. 2010: Franziska Görlach, Finite Element Methods for the Numerical Solution of Elliptic Partial Differential Equations (in German).

  4. 2010: Xaver Huff, Numerical Methods for the Solution of Boundary Value Problems for Ordinary Differential Equations (in German).

  3. 2010: Thomas Luther, Application of Multistep Methods for the Solution of Ordinary Differential Equations (in German).

  2. 2010: Melanie Stiegert, Reducibility of Matrices and Perron-Frobenius Theory (in German).

  1. 2010: Marion Wörndl, Single-Step Methods for the Numerical Solution of Initial Value Problems for Ordinary Differential Equations (in German).

• Oral Exams Not Directly Connected with a Particular Class:

  12. Conducted 1 oral exam on Numerical Analysis (30 min), 2012, as part of the final state exam of the teacher's program (high school) in Mathematics at the Ludwig-Maximilians University Munich, Germany, Department of Mathematics (in German only).

  11. Conducted 4 oral exams on Numerical Methods for Mathematical Finance, Probability Theory, and Stochastic Processes (each exam was 30 min), 3 joint oral exams with Dr. Vitali Wachtel on the same topics (for the joint exams, Dr. Wachtel was responsible for Probability Theory and Stochastic Processes, whereas I was responsible for Numerical Methods for Mathematical Finance, my part was 10 min), and 1 joint oral exam on Applied Mathematics with Prof. Francesca Biagini and Prof. Martin Schottenloher (Prof. Biagini was responsible for Mathematical Finance, Prof. Schottenloher for Game Theory, I was responsible for Numerical Methods for Mathematical Finance), 2012. The exams were part of the final exam of the Diplom program in Mathematical Economics at the Ludwig-Maximilians University Munich, Germany, Department of Mathematics (in German only).

  10. Conducted 5 oral exams on Numerical Analysis (30 min), 2011, as part of the final state exam of the teacher's program (high school) in Mathematics at the Ludwig-Maximilians University Munich, Germany, Department of Mathematics (in German only).

  9. Conducted 3 oral exams on Numerical Methods for Mathematical Finance, Probability Theory, and Stochastic Processes (each exam was 30 min), 1 joint oral exam with Prof. Dr. Gregor Svindland on Mathematical Finance, Numerical Methods for Mathematical Finance, and Optimal Control of PDE (Prof. Svindland was responsible for Mathematical Finance, whereas I was responsible for Numerical Methods for Mathematical Finance and Optimal Control of PDE, my part was 20 min), 1 joint oral exam with Dr. Vitali Wachtel on Numerical Methods for Mathematical Finance, Probability Theory, and Stochastic Processes (Dr. Wachtel was responsible for Probability Theory and Stochastic Processes, whereas I was responsible for Numerical Methods for Mathematical Finance, my part was 10 min) and 1 joint oral exam with Prof. Dr. Franz Merkl on Numerical Methods for Mathematical Finance, Probability Theory, and Stochastic Processes (Prof. Merkl was responsible for Probability Theory and Stochastic Processes, whereas I was responsible for Numerical Methods for Mathematical Finance, my part was 10 min), 2011. The exams were part of the final exam of the Diplom program in Mathematical Economics at the Ludwig-Maximilians University Munich, Germany, Department of Mathematics (in German only).

  8. Conducted 1 oral exam on Optimal Control of PDE, Numerical Methods for ODE, and Numerical Methods for PDE; 2 oral exam on Optimal Control of PDE and Functional Analysis; 1 oral exam on Optimal Control of PDE, Theory of PDE, and Functional Analysis (each exam was 30 min), 2010. The exams were part of the final exam of the Diplom program in Mathematics at the Ludwig-Maximilians University Munich, Germany, Department of Mathematics (in German only).

  7. Conducted 1 oral exam on Numerical Analysis and Ordinary Differential Equations (30 min), 2 joint oral exams (1 with Prof. Dr. Hans-Otto Georgii and 1 with Prof. Dr. Franz Merkl) on Numerical Analysis and Stochastics (Prof. Georgii and Prof. Merkl were responsible for the respective Stochastics parts, whereas I was responsible for the respective Numerical Analysis parts, each part was 15 min), and 1 joint oral exam with Dr. Heribert Zenk on Numerical Analysis and Ordinary Differential Equations (Dr. Zenk was responsible the ODE part, whereas I was responsible for the Numerical Analysis part, each part was 15 min), 2010. The exams were part of the intermediate exam (Vordiplom) of the Diplom program in Mathematics at the Ludwig-Maximilians University Munich, Germany, Department of Mathematics (in German only).

  6. Conducted 1 oral exam on Numerical Analysis (30 min), 2009, as part of the final state exam of the teacher's program (high school) in Mathematics at the Ludwig-Maximilians University Munich, Germany, Department of Mathematics (in German only).

  5. Conducted 1 oral exam on Optimal Control of PDE and Advanced Numerical Analysis (in particular FEM) (30 min), 2009. The oral exam was part of the final exam of the Diplom program in Mathematics at the Ludwig-Maximilians University Munich, Germany, Department of Mathematics (in German only).

  4. Conducted 4 oral exams on Advanced Calculus (30 min), 1 oral exam on Numerical Analysis and Ordinary Differential Equations (30 min), 6 joint oral exams with Prof. Dr. Hans-Otto Georgii on Numerical Analysis and Stochastics (Prof. Georgii was responsible for the Stochastics part, whereas I was responsible for the Numerical Analysis part, each part was 15 min), and 2 joint oral exams with Dr. Vitali Wachtel on Numerical Analysis and Stochastics (Dr. Wachtel was responsible for the Stochastics part, whereas I was responsible for the Numerical Analysis part, each part was 15 min), 2009. The exams were conducted as part of the intermediate exam (Vordiplom) of the Diplom program in Mathematics at the Ludwig-Maximilians University Munich, Germany, Department of Mathematics (in German only).

  3. Conducted 1 joint oral exam with Prof. Dr. Franz Merkl on Numerical Analysis and Stochastics (Prof. Merkl was responsible for the Stochastics part, whereas I was responsible for the Numerical Analysis part, each part was 15 min), 2008. The exam was conducted as part of the intermediate exam (Vordiplom) of the Diplom program in Mathematics at the Ludwig-Maximilians University Munich, Germany, Department of Mathematics (in German only).

  2. Conducted 4 oral exams on Advanced Calculus and Graph Theory (30 min), 2008. The exams were conducted as part of the intermediate exam (Vordiplom) of the Diplom program in Computer Science at the Department of Computer Science of the Ludwig-Maximilians University Munich, Germany.

  1. Assisted during oral exams of Prof. Dr. Jürgen Sprekels on Functional Analysis (30 min) and on Linear Partial Differential Equations (30 min), 2002 and 2003. The oral exams were conducted as part of the final exam of the Diplom program in Mathematics at the Department of Mathematics of the Humboldt University of Berlin, Germany.

• Miscellaneous:

  One-day visit (February 22, 2002) at the Daiichi Chugakko Junior Highschool in Kashiwazaki, Japan. Assisted in teaching English class in three sections, together with Hashimoto-sensei (teacher) and David Dougherty (assistant language teacher).

Grants

5. Two-week research visit (July 10-21, 2006) at the Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin, Germany, partially funded by WIAS.

4. Contributions to successful proposal by Prof. Dr. Jürgen Sprekels, Dr. Olaf Klein, Prof. Dr. Fredi Tröltzsch (page in German), and Prof. Dr. Arnd Rösch (page in German): Grant for Section C9 within the DFG Research Center MATHEON Mathematics for Key Technologies of the German Research Foundation (DFG) (2002 - 2006).

3. Contributions to successful proposal by Prof. Dr. Jürgen Sprekels: Grant #03SPM3B5 of the German Federal Ministry of Education and Research (BMBF) within the program New Mathematical Methods in Manufacturing and Service Industry (2001 - 2003).

2. One-week research visit (September 04-08, 2000) at the University of Pavia, Italy, funded by the VIGONI program.

1. Grant for the participation in the Euro Summer School on Mathematical Aspects of Evolving Interfaces, University of Madeira, Funchal, Portugal, July 03-09, 2000.

Awards

2. In 2008, the project Crystal Growth in Magnetic Fields (KristMAG) received the Berlin/Brandenburg Innovation Award. This project has been conducted with the aid of the software WIAS-HiTNIHS, which has been created by Olaf Klein and myself. This prize of 10,000 Euros is awarded annually by the German states of Berlin and Brandenburg to a maximum of four applicants for outstanding innovations based on interconnected research. It is particularly aimed at supporting local companies and research groups (see the website of the award agency (in German only) for more information.

   Reports on this award for the KristMAG project can be found here (page in German only), here (page in German only), and here (page in German only).

1. Nominated in 2004 by the section Physical Sciences of the Leibniz Association (page in German) for the yearly award for the best doctoral thesis of Leibniz Association researchers (the Leibniz Association has five sections and each section can nominate one candidate). The 2004 award went to the candidate of the section Environmental Research.

   Reports on this nomination can be found on Page 24 in the fourth 2004 edition of the journal Leibniz, the quarterly journal of the Leibniz Association (page in German) and in the article Mathematisches Neuland (Mathematics in Uncharted Territory, in German) of the online science news journal scienzz (in German only).

Academic Service Activities

For Funding Agencies

• Referee for the U.S. Civilian Research & Development Foundation (CRDF), 2006.

For Scientific Conferences

2. Co-organizer of the minisymposium Industrial Optimal Control Problems at the SIAM Conference on Mathematics for Industry: Challenges and Frontiers, Detroit, MI, USA, October 24-26, 2005.

1. Co-organizer of the minisymposium Complex Models in Solid and Fluid Mechanics: Methods and Applications in Multi-Physical and Multi-Scaling Problems at the 8th U.S. National Congress on Computational Mechanics, Austin, TX, USA, July 25-27, 2005.

For Scientific Journals

9. Referee for Mathematics of Computation, 2011.

8. Referee for Discrete Mathematics, 2009.

7. Referee for The Open Mechanics Journal, 2008.

6. Referee for Mathematical Models and Methods in Applied Sciences (M3AS), 2007.

5. Referee for Journal of Fluids Engineering, 2007.

4. Referee for Journal of Crystal Growth, 2006.

3. Referee for Journal of Fluids Engineering, 2006.

2. Referee for International Journal of Heat & Mass Transfer, 2005.

1. Referee for Diamond and Related Materials, 2004.