Schriftzug: Fachbereich Mathematik 
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Veröffentlichungen


Bücher und Buchbeiträge

    1. Hyperbolic Partial Differential Equations - Theory, Numerics and Applications
      Vieweg Verlag, 2002
      Editors: Andreas Meister and Jens Struckmeier

    2. Particle Methods for the Boltzmann Equation
      ACTA NUMERICA 1995, Cambridge, 417-457 (1995)
      with H. Neunzert

    3. Numerical Simulation of the Boltzmann Equation by Particle Methods
      Contribution to 'Modeling in Applied Sciences - A Kinetic Theory Approach', N. Bellomo, M. Pulvirenti (Eds.), Birkhäuser, April 2000.


Zeitschriften

    1. A Finite-Volume Particle Method for Conservation Laws on Moving Domains
      Int. Journal for Numerical Methods in Fluids 58, No. 9, 945-967 (2008)
      with D. Teleaga

    2. A Kinetic Scheme for the Savage-Hutter Equations
      Math. Methods in Appl. Sci. 31, No. 16, 1922-1945 (2008)
      with C. Kaland

    3. Optimal Control of Crystallization Processes
      Math. Models Methods Appl. Sci. 16, No. 12, 2029-2045 (2006)
      with T. Goetz and R. Pinnau

    4. Radiation Models for Thermal Flows at Low Mach Number
      J. Comput. Phys. 215, No. 2, 506-525 (2006)
      with I. Teleaga, M. Seaid, I. Gasser and A. Klar

    5. A Deterministic Scheme for Smoluchowski's Coagulation Equation Based on Binary Grid Refinement
      Numerical Algorithms 40, No. 3, 233-249 (2005)

    6. A Simplified Model for Non-Isothermal Crystallization of Polymers
      Mathematical and Computer Modelling 42, No. 3-4, 353-361 (2005)
      with Th. Goetz

    7. An One-Dimensional Asymptotic Model for Higher Order Acoustic Perturbations
      ZAMM 84, No. 7, 499-504 (2004)
      with M. Foroughi

    8. Modeling and Simulation of Fires in Vehicle Tunnels
      Int. Journal for Numerical Methods in Fluids 44, No. 3, 277-296 (2004)
      with I. Teleaga and I. Gasser

    9. An Asymptotic-Induced One-Dimensional Model to Describe Fires in Tunnels
      Math. Methods Appl. Sci. 25, No.14, 1231-1249 (2002)
      with I. Gasser

    10. Consistency Analysis of Mesh-Free Methods for Conservation Laws
      GAMM-Mitteilungen, No. 2, 99-126 (2001)
      with M. Junk

    11. A Singular-Perturbed Two-Phase Stefan Problem
      Appl. Math. Letters 14, No. 2, 217-222 (2001)
      with A. Unterreiter

    12. A Finite-Volume Particle Method for Compressible Flows
      Math. Models Methods Appl. Sci. 10, No.9, 1363-1382 (2000)
      with D. Hietel and K. Steiner

    13. On a Recursive Approximation of Singularly Perturbed Parabolic Equations
      J. Math. Anal. Appl. 250, 245--265 (2000)
      with A. Unterreiter

    14. Applications of a New Model for the Differential Cross-Section of a Classical Polyatomic Gas
      Transp. Theory Stat. Phys. 29, No. 3-5, 355-373 (2000)
      with C. Cercignani and M. Lampis

    15. Transition from Kinetic Theory to Macroscopic Fluid Equations: A Problem for Domain Decomposition and a Source for New Algorithms
      Transp. Theory Stat. Phys. 29, No. 1/2, 93-106 (2000)
      with A. Klar and H. Neunzert

    16. A Steady-State Particle Method for the Boltzmann Equation
      SIAM J. Sci. Comp. 21, No. 4, 1435-1457 (2000)

    17. New Models for the Cross Section of a Polyatomic Gas in the Frame of the Scattering Kernel Theory
      Mechanics Research Communications 25, No. 3, 231-236 (1998)
      with C. Cercignani and M. Lampis

    18. Simulation of Boundary Value Problems for the Boltzmann Equation
      Computers Math. Applic. 35, No. 1/2, 179-192 (1998)

    19. Adaptive Load Balance Techniques for Parallel Rarefied Gas Simulations
      J. Comput. Phys. 138, No. 2, 400-418 (1997)
      with S. Antonov and F.-J. Pfreundt

    20. Generation of Random Variates Using Asymptotic Expansions
      Computing 59, No. 4, 331-347 (1997)

    21. Some Estimates on the Boltzmann Collision Operator
      Math. Models Methods Appl. Sci.7, No.7, 1023-1033 (1997)

    22. Boundary Value Problems for the Boltzmann Equation
      J. Stat. Phys. 85, Nos. 3/4, 427-454 (1996)
      with R. Illner

    23. Implicit and Iterative Methods for the Boltzmann Equation
      Transp. Theory Stat. Phys. 25, No. 2, 175-195 (1996)
      with A.V. Bobylev

    24. Numerical Simulation of the Stationary, One-Dimensional Boltzmann Equation by Particle Methods
      Eur. J. Mech., B/Fluids 15, No. 1, 103-118 (1996)
      with A.V. Bobylev

    25. Second Order Scheme for the Spatially Homogeneous Boltzmann Equation with Maxwellian Molecules
      Math. Models Methods Appl. Sci. 6, No. 1, 137-147 (1996)
      with K. Steiner

    26. On a Kinetic Model for Shallow Water Waves
      Math. Methods Appl. Sci. 18, 709-722 (1995)

    27. Fast Generation of Low-Discrepancy Sequences
      J. Comput. Appl. Math. 61, No. 1, 29-41 (1995)

    28. A Comparison of Simulation Methods for Rarefied Gas Flows,
      Physics of Fluids B 7, No. 1, 2876-2885 (1995)
      with K. Steiner

    29. On the efficiency of simulation methods for the Boltzmann equation on parallel computers
      Parallel Computing 19, 103-119 (1993)
      with F.-J. Pfreundt

    30. Application of well-distributed sequences to the numerical simulation
      of the Boltzmann equation
      J. Comput. Appl. Math. 31, 15-22 (1990)
      with H. Babovsky, F. Gropengiesser, H. Neunzert and B. Wiesen


Konferenzbeiträge

    1. Optimal Control for Non-Isothermal Crystallization of Polymers
      PAMM (Proceedings of the 2005 GAMM conference), 5, No. 1, 661-662 (2005)
      with T. Goetz and R. Pinnau

    2. A Simplified Model for Non-Isothermal Crystallization of Polymers
      Progress in Industrial Mathematics at ECMI 2004, A. Di Bucchianico, R.M.M. Mattheij, M.A. Peletier (Eds.), Springer 2005, 227-231
      with T. Goetz

    3. On the numerical simulation of a low-Mach number flow
      Studia Universitatis Babes-Bolyai Mathematica, Volume L, Number 1, 51-59 (2005).
      with I. Teleaga and I. Gasser

    4. Modeling and Simulation of Fires in Vehicle Tunnels
      PAMM, Volume 3, Issue 1, 400-401 (2003).
      with I. Teleaga and I. Gasser

    5. Homogeneous relaxation and shock wave structure for a polyatomic gas
      Proceedings of the 21st RGD Symposium Marseille, July 1998, R. Brun, R. Campargue, R. Gatignol and J.C. Lengrand (Eds.), Vol. 2, 61--68 (1999).
      with C. Cercignani and M. Lampis

    6. Rayleigh-Benard chaotic convection in a rarefied gas
      Proceedings of the 21st RGD Symposium, Marseille, Juli 1998, R. Brun, R. Campargue, R. Gatignol und J.--C. Langrand (Hg.), Vol. 1, 687--694 (1999)
      with S. Stefanov, V. Roussinov, C. Cercignani, M.C. Giurin

    7. Numerical Modeling of Gas Flows in the Transition between Rarefied and Continuum Regimes
      Numerical Flow Simulation I, E.H. Hirschel (ed.), Notes on Numerical Fluid Mechanics, Vol. 66, Vieweg Verlag Wiesbaden, 222-241 (1998).
      with M. Guenther, P. Le Tallec and J.P. Perlat

    8. Computational Fluid Dynamics at the ITWM
      Industrial and Applied Mathematics, Narosa, New Dehli, India, 1997.
      with S. Antonov, D. Hietel and K. Steiner

    9. BMBF-Verbundprojekt ParBoSS: Ein anwendungsorientiertes massiv-paralleles Simulationstool fuer Stroemungen in verduennten Gasen
      Tagungsberichte der Statustagung des BMBF HPSC 97, Muenchen 1997, ed. by G. Wolf and R. Krahl
      with S. Antonov, F.J. Pfreundt, A. Schueller and G. Koppenwallner

    10. Particle Methods in Fluid Dynamics
      Proceedings of the 3rd Summer Conference on ``Numerical Modelling in Continuum Mechanics'', Prague 1997, Part I, ed. by M Feistauer, R. Rannacher and K. Kozel, 47-61 (1997).

    11. Particle Methods and Domain Decomposition
      Proceedings of the 20th International Symposium on Rarefied Gas Dynamics, 1996, Beijing, ed. by C. Shen, Peking University Press, 1997
      with A. Klar and H. Neunzert

    12. Boltzmann Simulation by Particle Methods
      Boltzmann's Legacy 150 Years after his Birth, Accademia Nazionale Dei Lincei 131, 59--78 (1997).
      with H. Neunzert

    13. Particle Methods: Theory and Applications
      ICIAM 95: proceedings of the Third International Congress on Industrial and Applied Mathematics held in Hamburg, Germany, 1995, ed. by K. Kirchgaessner, O. Mahrenholtz, R. Mennicken, Berlin: Akad. Verl., Mathematical Research, Vol. 87 (1996)
      with H. Neunzert and A. Klar

    14. Efficiency of Finite Pointset Method for the Boltzmann Equation on Parallel Computers
      Proceedings of the 18th RGD Symposium, Vancouver, AIAA Vol. 159, 489-500 (1994)
      with F.-J. Pfreundt

    15. The Finite-Pointset-Method for hypersonic flows in the rarefied gas regime
      Bertin, J.J.; Glowinski, R.; Periaux, J. (Eds.), Hypersonics, Vol. III, Birkhaeuser (1992)
      with H. Neunzert

    16. Rarefied Gas Flow Around a 3D Delta Wing
      Abgrall, R.; Desideri, J.A.; Glowinski, R.; Mallet, M. und Periaux, J. (Eds.), Hypersonic Flows for Reentry Problems, Vol. III, Springer Verlag, 976-986 (1992)
      with F. Gropengiesser, H. Neunzert and B. Wiesen

    17. Numerische Methoden zur Berechnung von Stroemungen um Raumfaehren in groesseren Hoehen
      H.W.Meyer (Ed.), Informatik Fachberichte 251, Supercomputer '90, Springer Verlag (1991)
      with F. Gropengiesser and H. Neunzert

    18. Computational Methods for the Boltzmann Equation
      Spigler, R. (Ed.), Applied and Industrial Mathematics, Venice-1 Kluwer acad. publ., Dordrecht, 111-140, (1991)
      with F. Gropengiesser and H. Neunzert

    19. Rarefied Gas Flow Around a 3D-Deltawing
      Desideri, J.A.; Glowinski, R. und Periaux, J. (Ed.), Hypersonic Flows for Reentry Problems, Vol. II, Springer Verlag, 1067-1078 (1991)
      with F. Gropengiesser, H. Neunzert and B. Wiesen

    20. Hypersonic flow calculations around a 3d-deltawing at low Knudsen numbers
      Beylich, A. (Ed.), Proc. of the 17th Int. Symposium on Rarefied Gas Dynamics, Aachen 1990, VCH Verlagsgesellschaft, Weinheim, 332-336 (1991)
      with F. Gropengiesser, H. Neunzert and B. Wiesen

    21. Rarefied gas flow around a disc with different angles of attack
      Beylich, A. (Ed.), Proc. of the 17th Int. Symposium on Rarefied Gas Dynamics, Aachen 1990, VCH Verlagsgesellschaft, Weinheim, 546-553 (1991)
      with F. Gropengiesser, H. Neunzert and B. Wiesen

    22. Low Discrepancy Methods for the Boltzmann Equation
      Muntz, E.P.; Weaver, D.P. und Campbell, D.H. (Ed.), Progress in Astronautics and Aeronautics, Vol. 118, Washington, 85-99, (1989)
      with H. Babovsky, F. Gropengiesser, H. Neunzert and B. Wiesen

    23. Identification of Deterministic Nonlinear Dynamical Systems
      Neunzert, H. (Ed.), Proc. of the Second European Symposium on Mathematics in Industry, Oberwohlfach 1987, Teubner Stuttgart, 93-113 (1988)
      with F.-J. Pfreundt


Preprints

    1. Numerical solution of the stationary diffusions equation by means of homogenization
      Hamburger Beiträge zur Angewandten Mathematik, No. 2007-20 (2007)
      with M. Kabel


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