Lehrveranstaltungen im Sommersemester 2012

Numerik partieller Differentialgleichungen

Vorlesung:  Donnerstag, 7.00 - 8.30 Uhr, Raum C 112
Übung:        (u) Freitag, 7.00 - 8.30 Uhr, Raum C 112

Numerische Mathematik 2

Vorlesung:  Mittwoch, 9.00 - 10.30 Uhr, Raum C 113
Übung:        Freitag, 13.00 - 14.30 Uhr, Raum C 113

Numerik stochastischer Systeme

Vorlesung:  Montag, 13.00 - 14.30 Uhr, Raum C 112
Übung:        (u) Dienstag, 11.00 - 12.30 Uhr, Raum C 113

Spezialseminar: Numerische Mathematik (nach Vereinbarung)

Einsichtnahmen zu Lehrveranstaltungen vergangener Semester:

Numerische Mathematik für Ingenieure:
Wenden Sie sich bitte an Herrn Schierwagen für Termine zur Einsichtnahme.
thomas.schierwagen@tu-ilmenau.de

Vorlesungsskripte

Mathematische Methoden der Bildverarbeitung
Numerische Mathematik (für Ingenieure)
Numerische Mathematik I
Numerische Mathematik II
Numerische Mathematik III (Num. Gew. DGL.)
Numerik partieller Differentialgleichungen
Numerik für Erhaltungsgleichungen
Logik und Zahlen
Modellbildungswoche

Veröffentlichungen 1996 - 2009

• "Diffusion limits for flows in thin layers", SIAM J. Appl. Math., 56:1280-1294, 1996.
• "Limit theorems for deterministic Knudsen flows between two plates", Math. Models Meth. Appl. Sci., 6:503-520, 1996
• "Discretization and numerical schemes for stationary kinetic model equations", Comput. Math. Appl., 35:29-40, 1998
• "A constructive approach to steady nonlinear kinetic equations", Journ. Comp. Appl. Math., 89: 199-211, 1998
• "Die Boltzmann-Gleichung". Monography, Teubner, Stuttgart, 1998
• "Kinetic boundary layers: on the adequate discretization of the Boltzmann collision operator", J. Comp. Appl. Math., 110:225-239, 1999
• "On a Monte Carlo scheme for Smoluchowski's coagulation equation", Monte Carlo Methods and Applications, 5:1-18, 1999
• "Hierarchies of reducible kinetic models", in: Discrete Modelling and Discrete Algorithms in Continuum Mechanics, Th. Sonar and I. Thomas (Eds.), Logos Verlag, Berlin 2001
• "A kinetic multiscale model", Math. Models Methods Appl. Sci, 12:309-331, 2002
• (with D. Görsch and F. Schilder) "Steady kinetic boundary value problems" in: Lecture Notes on the Discretization of the Boltzmann Equation, N. Bellomo and R. Gatignol Eds., pp. 131-156, World Scientific 2002
• (with L. S. Andallah) "A Discrete Boltzmann Equation Based on Hexagons", Math. Models Methods Appl. Sci. 13: 1537-1563, 2003
• "Hexagonal Kinetic Models and the Numerical Simulation of Kinetic Boundary Layers", in: Analysis and Numerics for Conservation Laws, G. Warnecke (Ed.), pp. 47-67, Springer, 2005
• (with L. S. Andallah) "A Discrete Boltzmann Equation Based on a Loosely Coupled Hexagonal Discretization of R2", Jahangirnagar University Journal of Sciences, 28: 195-207, 2005
• "Gelation of stochastic diffusion-coagulation systems", Physica D, 222: 54-62, 2006
• (with L. S. Andallah) "On Numerical Schemes for a Hierarchy of Kinetic Equations", in: Proceedings ENUMATH 2005, pp. 213-220, Springer, 2006
• "Approximations to the gelation phase of an aerosol", Preprint 11/06, Inst. f. Math., TU Ilmenau, 2006
• "The Impact of Random Fluctuations on the Gelation Process", Bull. Inst. of Math., Academia Sinica, 2:329-347, 2007
• (with P. Kowalczyk) "Diffusion Limits for Discrete Velocity Models in a Thin Gap", Multiscale Modeling and Simulation 6:631-655, 2007
• "A Numerical Scheme for the Boltzmann Equation", in: Proceedings of 25th International Symposium on Rarefied Gas Dynamics, M.S.Ivanov and A.K. Rebrov (Eds.), pp. 268-273, Novosibirsk, 2007
• (with T. Platkowski) "Kinetic Boundary Layers for the Boltzmann Equation on Discrete Velocity Lattices", Arch. Mech. 60:87-116, 2008
• "A Hybrid Numerical Scheme for Aerosol Dynamics", in: Numerical Mathematics and Advanced Applications, ENUMATH 2007, K. Kunisch, G. Of and O. Steinbach (Eds.), pp. 425-432, Springer, 2008
• (with L.S. Andallah) "A Discrete Boltzmann Equation Based on a Cub-Octahedron in R³", SIAM J. Sci. Comput. 31:799-825, 2008
• "Kinetic models on orthogonal groups and the simulation of the Boltzmann equation", in: Proceedings of 26th International Symposium on Rarefied Gas Dynamics, T. Abe (Ed.), pp. 415-420, American Institute of Physics, 2009
• "A numerical model for the Boltzmann equation with applications to micro flows", Computers & Mathematics with Applications 58:791-804, 2009