k) (Numerical) Coupling of Kinetic and Macroscopic Equations



359 N. Ben Abdallah, I. Gamba, A. Klar: "The Milne problem for high field kinetic semiconductor equations",
submitted, 2002.
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143 N. Ben Abdallah, H. Chaker: "The high field asymptotics for degenerate semiconductors",
Math. Models Methods Appl. Sci. 11(7), 1253--1272, 2001.
ps (0.2 MB)
zip (62 KB)
142 N. Ben Abdallah, M.L. Tayeb: "Asymptotique de Diffusion Pour le Système de Boltzmann-Poisson 1D ",
C. R. Acad. Sci. Paris Sér. I Math. 329(8), 735--740, 1999.
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zip (46 KB)
360 N. Ben Abdallah, M.L. Tayeb: "Diffusion Approximation for the one dimensional Boltzmann-Poisson system",
C. R. Acad. Sci. Paris Sér. I Math. 329(8), 735--740, 1999.
ps (0.3 MB)
zip (0.1 MB)
280 A. Aw, A. Klar, T. Materne, M. Rascle: "Derivation of Continuum Traffic Flow Models from Microscopic Follow-the-Leader Models",
2001.
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183 J. Banasiak, G. Frosali, G. Spiga: "Interplay of elastic and inelastic scattering operators in extended kinetic models and their hydrodynamic limits - reference manual",
preprint, submitted to Transport Theory and Statistical Physics, 2000.
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343 M.K. Banda, A. Klar, L. Pareschi, M. Seaïd: "Lattice-Botzmann type relaxation systems and high order relaxation schemes for the incompressible Navier-Stokes equations",
preprint, 2001.
ps (2.9 MB)
zip (0.6 MB)
173 F. Berthelin, F. Bouchut: "Kinetic invariant domains and relaxation limit from a BGK model to isentropic gas dynamics",
2000.
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172 F. Berthelin, F. Bouchut: "Solution with finite energy to a BGK system relaxing to isentropic gas dynamics",
2000.
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25 F. Bouchut: "Construction of BGK models with a family of kinetic entropies for a given system of conservation laws",
to appear in Journal of Statistical Physics, 1999.
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206 F. Bouchut: "Entropy satisfying flux vector splittings and kinetic BGK models",
2001.
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135 F. Bouchut, F.R. Guarguaglini, R. Natalini: "Diffusive BGK Approximations for Nonlinear Multidimensional Parabolic Equations",
to appear in Indiana Univ. Math. J., 2000.
ps (0.3 MB)
zip (0.1 MB)
204 C. Buet, S. Cordier: "Numerical analysis of the isotropic Fokker-Planck-Landau equation",
2001.
ps (1.3 MB)
zip (0.6 MB)
223 C. Buet, S. Cordier, F. Filbet: "Comparison of numerical schemes for Fokker-Planck-Landau equation",
ESAIM proceedings (European Series in Applied and Industrial Mathematics) Volume 11, "CEMRACS 1999", 2001.
ps (9.7 MB)
zip (0.7 MB)
329 C. Buet, S. Cordier, B. Lucquin-Desreux, S. Mancini: "Diffusion Limit of the Lorentz Model: Asymptotic Preserving Schemes",
2002.
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117 J.A. Carrillo, I. Gamba, C.W. Shu: "Computational macroscopic approximations to the 1-D relaxation-time kinetic system for semiconductors",
Physica D, 146, 289-306, 2000.
ps (1.0 MB)
zip (0.2 MB)
138 V. Comincioli, G. Naldi, T. Scapolla, G. Toscani: "Multiscale hyperbolic equations: Numerical approximation in the diffusive regime",
in Recent Trends in Numerical Analysis, L. Brugnano and D. Trigiante Eds., Nova Science Publishers, 2001.
ps (n/a)
zip (1.1 MB)
224 S. Cordier, B. Lucquin-Desreux, A. Sabry: "Numerical method for Vlasov-Lorentz models",
ESAIM proceedings (European Series in Applied and Industrial Mathematics) Volume 11, "CEMRACS 1999", 2001.
ps (0.4 MB)
zip (0.1 MB)
179 P. Degond, T. Goudon, F. Poupaud: "Diffusion Limit for non Homogeneous and Non-Micro-Reversible Processes",
Indiana University Math. J., 49, 1175-1198, 2000.
ps (0.2 MB)
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182 P. Degond, A. Klar: "A relaxation approximation for transport equations in the diffusive limit",
Appl. Math. Lett. 15/B>(2), 131-135, 2002.
ps (68 KB)
zip (28 KB)
216 P. Degond, V. Latocha, S. Mancini, A. Mellet: "Diffusion dynamics of an electron gas confined between two plates",
to appear in Methods and Applications of Analysis, 2002.
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zip (0.1 MB)
181 P. Degond, M. Lemou, M. Picasso: "Viscoelastic fluid models derived from kinetic equations for polymers",
to appear in SIAM Appl. Math., 2002.
ps (0.2 MB)
zip (0.1 MB)
61 P. Degond, C. Schmeiser: "Kinetic Boundary Layers and Fluid-Kinetic Coupling in Semiconductors" ,
Transp. Theory and Stat. Phys., 28, 31-55, 1999.
ps (0.6 MB)
zip (0.1 MB)
340 L. Gosse, G. Toscani: "An asymptotic-preserving well-balanced scheme for the hyperbolic heat equations",
CRAS Série I, 334, 1-6, 2002.
ps (0.2 MB)
zip (0.1 MB)
341 L. Gosse, G. Toscani: "Space localization and well-balanced schemes for discrete kinetic models in diffusive regimes",
preprint, 2002.
ps (0.4 MB)
zip (0.1 MB)
122 M. Junk: "A new Perspective on Kinetic Schemes",
2000.
ps (0.7 MB)
zip (0.2 MB)
123 M. Junk: "Exponentially exact hyperbolic systems",
2000.
ps (0.7 MB)
zip (0.2 MB)
5 A. Klar, C. Schmeiser: "Numerical Passage from Radiative Heat Transfer to Nonlinear Diffusion Models",
Math. Models and Meth. in Appl. Sci. 11, 749-767, 2001.
ps (0.5 MB)
zip (0.1 MB)
279 A. Klar, A. Unterreiter: "Uniform Stability of a Finite Difference Scheme for Transport Equations in Diffusive Regimes",
to appear in SIAM J. Num. Anal., 2002.
ps (0.2 MB)
zip (0.1 MB)
339 V. Latocha, L. Garrigues, P. Degond, J.P. Boeuf: "Numerical Simulation of Electron Transport in the Channel Region of a Stationary Plasma Thruster",
Plasma Sources Science and Technology, 11, 104-114, 2002.
ps (6.0 MB)
zip (0.4 MB)
344 L. Pareschi: "Central differencing based numerical schemes for hyperbolic conseration laws with relaxation terms",
to appear in SIAM J. Numer. Anal., 2002.
ps (1.4 MB)
zip (0.2 MB)
81 L. Pareschi, G. Russo: "Asymptotic Preserving Monte Carlo Methods for the Boltzmann Equation",
Transp. Theo. Stat. Phys., 29(3-5), 415-430, 2000.
ps (0.3 MB)
zip (0.1 MB)
199 C. Ringhofer, C. Schmeiser, A. Zwirchmayr: "Moment methods for the semiconductor Boltzmann equation on bounded position domains",
SIAM J. Numer. Anal. 39, 1078-1095, 2001.
ps (0.4 MB)
zip (0.1 MB)
198 C. Schmeiser, A. Zwirchmayr: "Convergence of moment methods for linear kinetic equations",
SIAM J. Num. Anal., 36, 74-88, 1998.
ps (0.7 MB)
zip (0.1 MB)
196 C. Schmeiser, A. Zwirchmayr: "Elastic and drift-diffusion limits of electron-phonon interaction in semiconductors",
Math. Models and Meth. in Appl. Sci. 8, 37--53, 1998.
ps (0.2 MB)
zip (0.1 MB)
12 H. Struchtrup: "Kinetic schemes and boundary conditions for moment equations",
to appear in ZAMP, 1999.
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31 H. Struchtrup, W. Weiss: "Temperature jump and velocity slip in the moment method" ,
submitted to Continuum Mechanics and Thermodynamics, 1999.
ps (0.4 MB)
zip (0.1 MB)