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## Levermore, C. David

Compute Distance To:
 Author ID: levermore.c-david Published as: Levermode, C. David; Levermore, C. D.; Levermore, C. David
 Documents Indexed: 84 Publications since 1979, including 4 Books
all top 5

#### Co-Authors

 6 single-authored 10 Golse, François 7 Lax, Peter David 6 Pomraning, Gerald C. 5 Bardos, Claude Williams 5 Ercolani, Nicholas M. 5 Martínez Gamba, Irene 5 Oliver, Marcel 4 Jin, Shi 4 Sun, Weiran 4 Wong, Jack 3 Degond, Pierre 3 Doering, Charles R. 3 Holm, Darryl D. 3 Jiang, Ning 3 Jin, Shan 3 Miller, Peter D. 3 Morokoff, William J. 2 Arnold, Anton 2 Ben Abdallah, Naoufel 2 Camassa, Roberto 2 Cercignani, Carlo 2 Elton, Bracy H. 2 Glassey, Robert T. 2 Hagan, Patrick S. 2 Liu, Jianguo 2 Malvagi, F. 2 Masmoudi, Nader 2 McLaughlin, David W. 2 Ringhofer, Christian A. 2 Rodrigue, Garry H. 2 Schmeiser, Christian 2 Titi, Edriss Saleh 2 Trivisa, Konstantina 1 Bayly, Bruce J. 1 Boghosian, Bruce M. 1 Chen, Gui-Qiang G. 1 Chin, Raymond C. Y. 1 Cruz-Pacheco, Gustavo 1 Deift, Percy A. 1 Frank, Martin 1 Gabitov, Ildar R. 1 Garrison, John C. 1 Gasser, Ingenuin 1 Gibbon, John D. 1 Harten, Ami 1 Hauck, Cory D. 1 Hays, Mark H. 1 Krichever, Igor’ Moiseevich 1 Kupershmidt, Boris A. 1 Larsen, Edward W. 1 Liu, Hailiang 1 Liu, Tai-Ping 1 Luce, Benjamin P. 1 MacEvoy, Warren D. jun. 1 Manteuffel, Thomas A. 1 Markowich, Peter Alexander 1 Nadiga, Balasubramanya T. 1 Passot, Thierry 1 Pego, Robert L. 1 Saint-Raymond, Laure 1 Sammartino, Marco Maria Luigi 1 Sanderson, James G. 1 Sanzo, D. L. 1 Schäfer, Matthias 1 Serre, Denis 1 Stark, Donald R. 1 Tits, André L. 1 Ukai, Seiji 1 Venakides, Stephanos 1 Wayne, Clarence Eugene 1 White, Andrew B. jun. 1 Xin, Jack X. 1 Yang, Tong 1 Zhang, Taiyan
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#### Serials

 8 Communications on Pure and Applied Mathematics 7 Physica D 5 Communications in Partial Differential Equations 3 Archive for Rational Mechanics and Analysis 3 Transport Theory and Statistical Physics 3 SIAM Journal on Numerical Analysis 3 SIAM Journal on Applied Mathematics 2 Communications in Mathematical Physics 2 Journal of Computational Physics 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 Indiana University Mathematics Journal 2 SIAM Journal on Mathematical Analysis 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 The IMA Volumes in Mathematics and its Applications 1 Journal of Fluid Mechanics 1 Nonlinearity 1 Physics Letters. A 1 Wave Motion 1 Physics of Fluids, A 1 Journal of Differential Equations 1 SIAM Journal on Control and Optimization 1 Advances in Applied Mathematics 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Complex Systems 1 European Journal of Applied Mathematics 1 IMRN. International Mathematics Research Notices 1 Proceedings of the National Academy of Sciences of the United States of America 1 Physics of Fluids 1 Séminaire Équations aux Dérivées Partielles 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Multiscale Modeling & Simulation 1 Analysis and Applications (Singapore) 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Kinetic and Related Models
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#### Fields

 57 Partial differential equations (35-XX) 43 Fluid mechanics (76-XX) 31 Statistical mechanics, structure of matter (82-XX) 13 Numerical analysis (65-XX) 9 Dynamical systems and ergodic theory (37-XX) 6 Integral equations (45-XX) 5 Ordinary differential equations (34-XX) 5 Probability theory and stochastic processes (60-XX) 4 General and overarching topics; collections (00-XX) 4 Optics, electromagnetic theory (78-XX) 3 Operator theory (47-XX) 2 Quantum theory (81-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 Algebraic geometry (14-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

75 Publications have been cited 2,075 times in 1,504 Documents Cited by Year
Moment closure hierarchies for kinetic theories. Zbl 1081.82619
Levermore, C. David
1996
Hyperbolic conservation laws with stiff relaxation terms and entropy. Zbl 0806.35112
Chen, Gui-Qiang; Levermore, C. David; Liu, Tai-Ping
1994
The small dispersion limit of the Korteweg-de Vries equation. I. Zbl 0532.35067
Lax, Peter D.; Levermore, C. David
1983
Fluid dynamic limits of kinetic equations. II: Convergence proofs for the Boltzmann equation. Zbl 0817.76002
Bardos, Claude; Golse, François; Levermore, C. David
1993
Weak and strong solutions of the complex Ginzburg-Landau equation. Zbl 0810.35119
Doering, Charles R.; Gibbon, John D.; Levermore, C. David
1994
Numerical schemes for hyperbolic conservation laws with stiff relaxation terms. Zbl 0860.65089
Jin, Shi; Levermore, C. David
1996
The small dispersion limit of the Korteweg-de Vries equation. III. Zbl 0527.35074
Lax, Peter D.; Levermode, C. David
1983
The semiclassical limit of the defocusing NLS hierarchy. Zbl 0935.35148
Jin, Shan; Levermore, C. David; McLaughlin, David W.
1999
Analyticity of solutions for a generalized Euler equation. Zbl 0876.35090
Levermore, C. David; Oliver, Marcel
1997
Multidimensional stability of traveling waves in a bistable reaction-diffusion equation. II. Zbl 0789.35020
Levermore, C. D.; Xin, Jack X.
1992
The complex Ginzburg-Landau equation as a model problem. Zbl 0845.35003
Levermore, C. David; Oliver, Marcel
1996
The small dispersion limit of the Korteweg-de Vries equation. II. Zbl 0527.35073
Lax, Peter D.; Levermode, C. David
1983
The generation and propagation of oscillations in dispersive initial value problems and their limiting behavior. Zbl 0819.35122
Lax, P. D.; Levermore, C. D.; Venakides, S.
1993
The Gaussian moment closure for gas dynamics. Zbl 0922.76273
Levermore, C. David; Morokoff, William J.
1999
Finite genus solutions to the Ablowitz-Ladik equations. Zbl 0869.34065
Miller, Peter D.; Ercolani, Nicholas M.; Krichever, Igor M.; Levermore, C. David
1995
The hyperbolic nature of the zero dispersion KdV limit. Zbl 0678.35081
Levermore, C. David
1988
From the Boltzmann equation to an incompressible Navier-Stokes-Fourier system. Zbl 1304.35476
2010
The initial time layer problem and the quasineutral limit in the semiconductor drift-diffusion model. Zbl 1018.82024
Gasser, Ingenuin; Levermore, C. David; Markowich, Peter A.; Schmeiser, Christian
2001
Long-time effects of bottom topography in shallow water. Zbl 0899.76081
Camassa, Roberto; Holm, Darryl D.; Levermore, C. David
1996
Global well-posedness for models of shallow water in a basin with a varying bottom. Zbl 0953.76011
Levermore, C. David; Oliver, Marcel; Titi, Edriss S.
1996
The convergence of numerical transfer schemes in diffusive regimes. I: Discrete-ordinate method. Zbl 1053.82030
Golse, François; Jin, Shi; Levermore, C. David
1999
The acoustic limit for the Boltzmann equation. Zbl 0973.76075
Bardos, Claude; Golse, François; Levermore, C. David
2000
Stokes-Fourier and acoustic limits for the Boltzmann equation: convergence proofs. Zbl 1044.76055
Golse, François; Levermore, C. David
2002
Acoustic and Stokes limits for the Boltzmann equation. Zbl 0918.35109
Bardos, Claude; Golse, François; Levermore, C. David
1998
The behavior of solutions of the NLS equation in the semiclassical limit. Zbl 0849.35130
Jin, Shan; Levermore, C. David; McLaughlin, David W.
1994
High field approximations to a Boltzmann-Poisson system and boundary conditions in a semiconductor. Zbl 0894.76072
Cercignani, C.; Gamba, I. M.; Levermore, C. D.
1997
The zero dispersion limit for the Korteweg-deVries KdV equation. Zbl 0411.35081
Lax, Peter D.; Levermore, C. David
1979
Moment realizability and the validity of the Navier-Stokes equations for rarefied gas dynamics. Zbl 1185.76858
Levermore, C. David; Morokoff, William J.; Nadiga, B. T.
1998
Fully-discrete numerical transfer in diffusive regimes. Zbl 0818.65141
Jin, Shi; Levermore, C. David
1993
Discretization methods for one-dimensional Fokker-Planck operators. Zbl 0581.65091
Larsen, E. W.; Levermore, C. D.; Pomraning, G. C.; Sanderson, J. G.
1985
Convex duality and entropy-based moment closures: characterizing degenerate densities. Zbl 1167.49033
Hauck, Cory D.; Levermore, C. David; Tits, André L.
2008
A shallow water model with eddy viscosity for basins with varying bottom topography. Zbl 0999.76033
Levermore, C. David; Sammartino, Marco
2001
Remarks on the acoustic limit for the Boltzmann equation. Zbl 1206.35188
Jiang, Ning; Levermore, C. David; Masmoudi, Nader
2010
Long-time shallow-water equations with a varying bottom. Zbl 0897.76008
Camassa, Roberto; Holm, Darryl D.; Levermore, C. David
1997
Linear transport theory in a random medium. Zbl 0604.60084
Levermore, C. D.; Pomraning, G. C.; Sanzo, D. L.; Wong, J.
1986
Convex entropies and hyperbolicity for general Euler equations. Zbl 0922.35089
Harten, Ami; Lax, Peter D.; Levermore, C. David; Morokoff, William J.
1998
A drift-collision balance for a Boltzmann–Poisson system in bounded domains. Zbl 0987.82012
Cercignani, C.; Gamba, I. M.; Levermore, C. D.
2001
Global well-posedness for the lake equations. Zbl 0885.35093
Levermore, C. David; Oliver, Marcel; Titi, Edriss S.
1996
Mean exit times for particles driven by weakly colored noise. Zbl 0681.60052
Hagan, Patrick S.; Doering, Charles R.; Levermore, C. David
1989
A cellular automaton for Burgers’ equation. Zbl 0659.65119
Boghosian, Bruce M.; Levermore, C. David
1987
A low Mach number limit of a dispersive Navier-Stokes system. Zbl 1251.35046
Levermore, C. David; Sun, Weiran; Trivisa, Konstantina
2012
A domain decomposition analysis for a two-scale linear transport problem. Zbl 1078.65125
Golse, François; Jin, Shi; Levermore, C. David
2003
Density variations in weakly compressible flows. Zbl 0756.76061
Bayly, B. J.; Levermore, C. D.; Passot, T.
1992
Complex Ginzburg-Landau equations as perturbations of nonlinear Schrödinger equations: a Melnikov approach. Zbl 1061.35130
Cruz-Pacheco, Gustavo; Levermore, C. David; Luce, Benjamin P.
2004
Distribution-valued initial data for the complex Ginzburg-Landau equation. Zbl 0880.35110
Levermore, C. David; Oliver, Marcel
1997
Renewal theory for transport processes in binary statistical mixtures. Zbl 0642.60069
Levermore, C. D.; Wong, J.; Pomraning, G. C.
1988
Large oscillations arising in a dispersive numerical scheme. Zbl 0887.65098
Levermore, C. D.; Liu, Jian-Guo
1996
The distribution of exit times for weakly colored noise. Zbl 0714.60072
Hagan, Patrick S.; Doering, Charles R.; Levermore, C. David
1989
Entropy-based moment closures for kinetic equations. Zbl 0906.60091
Levermore, C. David
1997
Macroscopic lattice dynamics. Zbl 0814.34074
Hays, M. H.; Levermore, C. D.; Miller, P. D.
1994
Global solutions of the Boltzmann equation over $${\mathbb{R}^D}$$ near global Maxwellians with small mass. Zbl 1361.35125
Bardos, Claude; Gamba, Irene M.; Golse, François; Levermore, C. David
2016
Kinetic equations: fluid dynamical limits and viscous heating. Zbl 1151.35066
Bardos, Claude; Levermore, C. David; Ukai, Seiji; Yang, Tong
2008
Singular limits of dispersive waves. Proceedings of a NATO advanced research workshop, Lyons, France, July 8-12, 1991. Zbl 0840.00031
Ercolani, N. M. (ed.); Gabitov, I. R. (ed.); Levermore, C. D. (ed.); Serre, D. (ed.)
1994
The zero-dispersion limit for the odd flows in the focusing Zakharov-Shabat hierarchy. Zbl 1134.37357
Ercolani, Nicholas M.; Jin, Shan; Levermore, C. David; MacEvoy, Warren D. jun.
2003
Entropic convergence and the linearized limit for the Boltzmann equation. Zbl 0853.35094
Levermore, C. David
1993
Asymptotic limits of a statistical transport description. Zbl 0701.65096
Malvagi, F.; Levermore, C. D.; Pomraning, G. C.
1989
Diffusive corrections to $$P_N$$ approximations. Zbl 1238.82033
Schäfer, Matthias; Frank, Martin; Levermore, C. David
2011
Convergence of convective-diffusive lattice Boltzmann methods. Zbl 0845.35018
Elton, Bracy H.; Levermore, C. David; Rodrigue, Garry H.
1995
Hamiltonian differencing of fluid dynamics. Zbl 0596.76004
Holm, Darryl D.; Kupershmidt, Boris A.; Levermore, C. David
1985
Compactness of the gain parts of the linearized Boltzmann operator with weakly cutoff kernels. Zbl 1203.82072
Levermore, C. David; Sun, Weiran
2010
The relative entropy method for the hydrodynamical limits of kinetic models. Zbl 1255.82067
Golse, F.; Levermore, C. D.; Saint-Raymond, L.
2000
The behavior of the Weyl function in the zero-dispersion KdV limit. Zbl 0865.35115
Ercolani, Nicholas M.; Levermore, C. David; Zhang, Taiyan
1997
Modulation of multiphase waves in the presence of resonance. Zbl 0887.34060
Miller, Peter D.; Ercolani, Nicholas M.; Levermore, C. David
1996
Global dynamics of Bose-Einstein condensation for a model of the Kompaneets equation. Zbl 1362.37161
Levermore, C. David; Liu, Hailiang; Pego, Robert L.
2016
Hydrodynamic limits of kinetic models. Zbl 1124.82015
Golse, François; Levermore, C. David
2005
A note on the energy-transport limit of the semiconductor Boltzmann equation. Zbl 1047.82023
Degond, Pierre; Levermore, C. David; Schmeiser, Christian
2004
Local well-posedness of a dispersive Navier-Stokes system. Zbl 1328.35152
Levermore, C. David; Sun, Weiran
2011
The Stokes-Fourier limit for the Boltzmann equation. Zbl 1011.35111
Golse, François; Levermore, C. David
2001
Inertial ranges for turbulent solutions of complex Ginzburg-Landau equations. Zbl 1044.35525
Levermore, C. David; Stark, Donald R.
1997
Oscillations arising in numerical experiments. Zbl 0848.65066
Levermore, C. David; Liu, Jian-Guo
1994
Numerical solutions of partial differential equations on irregular grids. Zbl 0663.65102
Levermore, C. David; Manteuffel, Thomas A.; White, Andrew B. jun.
1988
Global existence and regularity of the weakly compressible Navier-Stokes system. Zbl 1234.35182
Jiang, Ning; Levermore, C. David
2012
Weakly nonlinear-dissipative approximations of hyperbolic-parabolic systems with entropy. Zbl 1270.35293
Jiang, Ning; Levermore, C. David
2011
The KdV zero-dispersion limit and densities of Dirichlet spectra. Zbl 0890.35132
Levermore, C. David
1998
Transport theory in binary statistical mixtures. Zbl 0689.76039
Pomraning, G. C.; Levermore, C. D.; Wong, J.
1989
Global solutions of the Boltzmann equation over $${\mathbb{R}^D}$$ near global Maxwellians with small mass. Zbl 1361.35125
Bardos, Claude; Gamba, Irene M.; Golse, François; Levermore, C. David
2016
Global dynamics of Bose-Einstein condensation for a model of the Kompaneets equation. Zbl 1362.37161
Levermore, C. David; Liu, Hailiang; Pego, Robert L.
2016
A low Mach number limit of a dispersive Navier-Stokes system. Zbl 1251.35046
Levermore, C. David; Sun, Weiran; Trivisa, Konstantina
2012
Global existence and regularity of the weakly compressible Navier-Stokes system. Zbl 1234.35182
Jiang, Ning; Levermore, C. David
2012
Diffusive corrections to $$P_N$$ approximations. Zbl 1238.82033
Schäfer, Matthias; Frank, Martin; Levermore, C. David
2011
Local well-posedness of a dispersive Navier-Stokes system. Zbl 1328.35152
Levermore, C. David; Sun, Weiran
2011
Weakly nonlinear-dissipative approximations of hyperbolic-parabolic systems with entropy. Zbl 1270.35293
Jiang, Ning; Levermore, C. David
2011
From the Boltzmann equation to an incompressible Navier-Stokes-Fourier system. Zbl 1304.35476
2010
Remarks on the acoustic limit for the Boltzmann equation. Zbl 1206.35188
Jiang, Ning; Levermore, C. David; Masmoudi, Nader
2010
Compactness of the gain parts of the linearized Boltzmann operator with weakly cutoff kernels. Zbl 1203.82072
Levermore, C. David; Sun, Weiran
2010
Convex duality and entropy-based moment closures: characterizing degenerate densities. Zbl 1167.49033
Hauck, Cory D.; Levermore, C. David; Tits, André L.
2008
Kinetic equations: fluid dynamical limits and viscous heating. Zbl 1151.35066
Bardos, Claude; Levermore, C. David; Ukai, Seiji; Yang, Tong
2008
Hydrodynamic limits of kinetic models. Zbl 1124.82015
Golse, François; Levermore, C. David
2005
Complex Ginzburg-Landau equations as perturbations of nonlinear Schrödinger equations: a Melnikov approach. Zbl 1061.35130
Cruz-Pacheco, Gustavo; Levermore, C. David; Luce, Benjamin P.
2004
A note on the energy-transport limit of the semiconductor Boltzmann equation. Zbl 1047.82023
Degond, Pierre; Levermore, C. David; Schmeiser, Christian
2004
A domain decomposition analysis for a two-scale linear transport problem. Zbl 1078.65125
Golse, François; Jin, Shi; Levermore, C. David
2003
The zero-dispersion limit for the odd flows in the focusing Zakharov-Shabat hierarchy. Zbl 1134.37357
Ercolani, Nicholas M.; Jin, Shan; Levermore, C. David; MacEvoy, Warren D. jun.
2003
Stokes-Fourier and acoustic limits for the Boltzmann equation: convergence proofs. Zbl 1044.76055
Golse, François; Levermore, C. David
2002
The initial time layer problem and the quasineutral limit in the semiconductor drift-diffusion model. Zbl 1018.82024
Gasser, Ingenuin; Levermore, C. David; Markowich, Peter A.; Schmeiser, Christian
2001
A shallow water model with eddy viscosity for basins with varying bottom topography. Zbl 0999.76033
Levermore, C. David; Sammartino, Marco
2001
A drift-collision balance for a Boltzmann–Poisson system in bounded domains. Zbl 0987.82012
Cercignani, C.; Gamba, I. M.; Levermore, C. D.
2001
The Stokes-Fourier limit for the Boltzmann equation. Zbl 1011.35111
Golse, François; Levermore, C. David
2001
The acoustic limit for the Boltzmann equation. Zbl 0973.76075
Bardos, Claude; Golse, François; Levermore, C. David
2000
The relative entropy method for the hydrodynamical limits of kinetic models. Zbl 1255.82067
Golse, F.; Levermore, C. D.; Saint-Raymond, L.
2000
The semiclassical limit of the defocusing NLS hierarchy. Zbl 0935.35148
Jin, Shan; Levermore, C. David; McLaughlin, David W.
1999
The Gaussian moment closure for gas dynamics. Zbl 0922.76273
Levermore, C. David; Morokoff, William J.
1999
The convergence of numerical transfer schemes in diffusive regimes. I: Discrete-ordinate method. Zbl 1053.82030
Golse, François; Jin, Shi; Levermore, C. David
1999
Acoustic and Stokes limits for the Boltzmann equation. Zbl 0918.35109
Bardos, Claude; Golse, François; Levermore, C. David
1998
Moment realizability and the validity of the Navier-Stokes equations for rarefied gas dynamics. Zbl 1185.76858
Levermore, C. David; Morokoff, William J.; Nadiga, B. T.
1998
Convex entropies and hyperbolicity for general Euler equations. Zbl 0922.35089
Harten, Ami; Lax, Peter D.; Levermore, C. David; Morokoff, William J.
1998
The KdV zero-dispersion limit and densities of Dirichlet spectra. Zbl 0890.35132
Levermore, C. David
1998
Analyticity of solutions for a generalized Euler equation. Zbl 0876.35090
Levermore, C. David; Oliver, Marcel
1997
High field approximations to a Boltzmann-Poisson system and boundary conditions in a semiconductor. Zbl 0894.76072
Cercignani, C.; Gamba, I. M.; Levermore, C. D.
1997
Long-time shallow-water equations with a varying bottom. Zbl 0897.76008
Camassa, Roberto; Holm, Darryl D.; Levermore, C. David
1997
Distribution-valued initial data for the complex Ginzburg-Landau equation. Zbl 0880.35110
Levermore, C. David; Oliver, Marcel
1997
Entropy-based moment closures for kinetic equations. Zbl 0906.60091
Levermore, C. David
1997
The behavior of the Weyl function in the zero-dispersion KdV limit. Zbl 0865.35115
Ercolani, Nicholas M.; Levermore, C. David; Zhang, Taiyan
1997
Inertial ranges for turbulent solutions of complex Ginzburg-Landau equations. Zbl 1044.35525
Levermore, C. David; Stark, Donald R.
1997
Moment closure hierarchies for kinetic theories. Zbl 1081.82619
Levermore, C. David
1996
Numerical schemes for hyperbolic conservation laws with stiff relaxation terms. Zbl 0860.65089
Jin, Shi; Levermore, C. David
1996
The complex Ginzburg-Landau equation as a model problem. Zbl 0845.35003
Levermore, C. David; Oliver, Marcel
1996
Long-time effects of bottom topography in shallow water. Zbl 0899.76081
Camassa, Roberto; Holm, Darryl D.; Levermore, C. David
1996
Global well-posedness for models of shallow water in a basin with a varying bottom. Zbl 0953.76011
Levermore, C. David; Oliver, Marcel; Titi, Edriss S.
1996
Global well-posedness for the lake equations. Zbl 0885.35093
Levermore, C. David; Oliver, Marcel; Titi, Edriss S.
1996
Large oscillations arising in a dispersive numerical scheme. Zbl 0887.65098
Levermore, C. D.; Liu, Jian-Guo
1996
Modulation of multiphase waves in the presence of resonance. Zbl 0887.34060
Miller, Peter D.; Ercolani, Nicholas M.; Levermore, C. David
1996
Finite genus solutions to the Ablowitz-Ladik equations. Zbl 0869.34065
Miller, Peter D.; Ercolani, Nicholas M.; Krichever, Igor M.; Levermore, C. David
1995
Convergence of convective-diffusive lattice Boltzmann methods. Zbl 0845.35018
Elton, Bracy H.; Levermore, C. David; Rodrigue, Garry H.
1995
Hyperbolic conservation laws with stiff relaxation terms and entropy. Zbl 0806.35112
Chen, Gui-Qiang; Levermore, C. David; Liu, Tai-Ping
1994
Weak and strong solutions of the complex Ginzburg-Landau equation. Zbl 0810.35119
Doering, Charles R.; Gibbon, John D.; Levermore, C. David
1994
The behavior of solutions of the NLS equation in the semiclassical limit. Zbl 0849.35130
Jin, Shan; Levermore, C. David; McLaughlin, David W.
1994
Macroscopic lattice dynamics. Zbl 0814.34074
Hays, M. H.; Levermore, C. D.; Miller, P. D.
1994
Singular limits of dispersive waves. Proceedings of a NATO advanced research workshop, Lyons, France, July 8-12, 1991. Zbl 0840.00031
Ercolani, N. M. (ed.); Gabitov, I. R. (ed.); Levermore, C. D. (ed.); Serre, D. (ed.)
1994
Oscillations arising in numerical experiments. Zbl 0848.65066
Levermore, C. David; Liu, Jian-Guo
1994
Fluid dynamic limits of kinetic equations. II: Convergence proofs for the Boltzmann equation. Zbl 0817.76002
Bardos, Claude; Golse, François; Levermore, C. David
1993
The generation and propagation of oscillations in dispersive initial value problems and their limiting behavior. Zbl 0819.35122
Lax, P. D.; Levermore, C. D.; Venakides, S.
1993
Fully-discrete numerical transfer in diffusive regimes. Zbl 0818.65141
Jin, Shi; Levermore, C. David
1993
Entropic convergence and the linearized limit for the Boltzmann equation. Zbl 0853.35094
Levermore, C. David
1993
Multidimensional stability of traveling waves in a bistable reaction-diffusion equation. II. Zbl 0789.35020
Levermore, C. D.; Xin, Jack X.
1992
Density variations in weakly compressible flows. Zbl 0756.76061
Bayly, B. J.; Levermore, C. D.; Passot, T.
1992
Mean exit times for particles driven by weakly colored noise. Zbl 0681.60052
Hagan, Patrick S.; Doering, Charles R.; Levermore, C. David
1989
The distribution of exit times for weakly colored noise. Zbl 0714.60072
Hagan, Patrick S.; Doering, Charles R.; Levermore, C. David
1989
Asymptotic limits of a statistical transport description. Zbl 0701.65096
Malvagi, F.; Levermore, C. D.; Pomraning, G. C.
1989
Transport theory in binary statistical mixtures. Zbl 0689.76039
Pomraning, G. C.; Levermore, C. D.; Wong, J.
1989
The hyperbolic nature of the zero dispersion KdV limit. Zbl 0678.35081
Levermore, C. David
1988
Renewal theory for transport processes in binary statistical mixtures. Zbl 0642.60069
Levermore, C. D.; Wong, J.; Pomraning, G. C.
1988
Numerical solutions of partial differential equations on irregular grids. Zbl 0663.65102
Levermore, C. David; Manteuffel, Thomas A.; White, Andrew B. jun.
1988
A cellular automaton for Burgers’ equation. Zbl 0659.65119
Boghosian, Bruce M.; Levermore, C. David
1987
Linear transport theory in a random medium. Zbl 0604.60084
Levermore, C. D.; Pomraning, G. C.; Sanzo, D. L.; Wong, J.
1986
Discretization methods for one-dimensional Fokker-Planck operators. Zbl 0581.65091
Larsen, E. W.; Levermore, C. D.; Pomraning, G. C.; Sanderson, J. G.
1985
Hamiltonian differencing of fluid dynamics. Zbl 0596.76004
Holm, Darryl D.; Kupershmidt, Boris A.; Levermore, C. David
1985
The small dispersion limit of the Korteweg-de Vries equation. I. Zbl 0532.35067
Lax, Peter D.; Levermore, C. David
1983
The small dispersion limit of the Korteweg-de Vries equation. III. Zbl 0527.35074
Lax, Peter D.; Levermode, C. David
1983
The small dispersion limit of the Korteweg-de Vries equation. II. Zbl 0527.35073
Lax, Peter D.; Levermode, C. David
1983
The zero dispersion limit for the Korteweg-deVries KdV equation. Zbl 0411.35081
Lax, Peter D.; Levermore, C. David
1979
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#### Cited by 1,647 Authors

 28 Levermore, C. David 24 Jin, Shi 21 Guo, Boling 20 Pareschi, Lorenzo 19 Degond, Pierre 18 Radkevich, Evgeniĭ Vladimirovich 17 El, Gennady A. 17 Saint-Raymond, Laure 16 Masmoudi, Nader 15 Romano, Vittorio 14 Hauck, Cory D. 13 Després, Bruno 13 Frank, Martin 13 Grava, Tamara 13 Jiang, Ning 13 Klar, Axel 13 Lin, Chikun 13 Schneider, Florian H. 13 Vasseur, Alexis F. 13 Yang, Tong 13 Yong, Wen-An 12 Geng, Xianguo 12 Golse, François 11 Berthon, Christophe 11 Buet, Christophe 11 Coquel, Frédéric 11 Dimarco, Giacomo 10 Brull, Stephane 10 Martínez Gamba, Irene 10 Huang, Feimin 10 Mieussens, Luc 10 Pomraning, Gerald C. 10 Titi, Edriss Saleh 10 Torrilhon, Manuel 10 Wang, Shu 9 Chalons, Christophe 9 Dubroca, Bruno 9 Hoefer, Mark A. 9 Klein, Christian 9 Kukavica, Igor 9 Li, Ruo 9 Liu, Jianguo 9 Natalini, Roberto 9 Oliver, Marcel 9 Palin, Vladimir Vladimirovich 9 Salvarani, Francesco 9 Turpault, Rodolphe 9 Venakides, Stephanos 9 Wang, Li 9 Xu, Kun 8 Blokhin, Aleksandr Mikhaĭlovich 8 Goudon, Thierry 8 Jüngel, Ansgar 8 Junk, Michael 8 Konopelchenko, Boris Georgievich 8 Lemou, Mohammed 8 Liu, Hailiang 8 Miller, Peter D. 8 Pavan, Vincent 8 Vicol, Vlad C. 8 Xin, Zhouping 8 Zhao, Huijiang 7 Alldredge, Graham W. 7 Bellouquid, Abdelghani 7 Fan, Yuwei 7 Fox, Rodney O. 7 Franck, Emmanuel 7 Gao, Hongjun 7 Giovangigli, Vincent 7 Godlewski, Edwige 7 Hsiao, Ling 7 Jiang, Song 7 Ju, Qiangchang 7 Luo, Tao 7 Mascali, Giovanni 7 Shen, Wenxian 7 Shu, Chi-Wang 7 Slemrod, Marshall 6 Bardos, Claude Williams 6 Boscarino, Sebastiano 6 Bostan, Mihai 6 Bouchut, François 6 Ercolani, Nicholas M. 6 Flåtten, Tore 6 Gosse, Laurent 6 Guermond, Jean-Luc 6 Hamel, François 6 Herty, Michael Matthias 6 Lachowicz, Mirosław 6 LeFloch, Philippe Gerard 6 Lv, Guangying 6 Méhats, Florian 6 Peng, Yuejun 6 Popov, Boyan 6 Russo, Giovanni 6 Seguin, Nicolas 5 Banda, Mapundi Kondwani 5 Barletti, Luigi 5 Bisi, Marzia 5 Biswas, Animikh ...and 1,547 more Authors
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#### Cited in 226 Serials

 130 Journal of Computational Physics 88 Journal of Differential Equations 68 Physica D 48 Journal of Statistical Physics 46 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 42 Journal of Mathematical Physics 39 Journal of Mathematical Analysis and Applications 33 Archive for Rational Mechanics and Analysis 33 Transport Theory and Statistical Physics 31 Communications on Pure and Applied Mathematics 26 Kinetic and Related Models 24 Communications in Mathematical Physics 24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 24 Journal of Scientific Computing 20 Journal of Mathematical Sciences (New York) 19 Communications in Partial Differential Equations 18 Computers & Mathematics with Applications 18 SIAM Journal on Mathematical Analysis 18 Comptes Rendus. Mathématique. Académie des Sciences, Paris 17 Mathematics of Computation 16 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 16 Journal of Hyperbolic Differential Equations 15 Journal of Fluid Mechanics 14 Applied Mathematics and Computation 14 Journal of Computational and Applied Mathematics 13 Mathematical Methods in the Applied Sciences 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Applied Mathematics Letters 12 Nonlinearity 12 Numerische Mathematik 12 SIAM Journal on Numerical Analysis 12 Journal of Nonlinear Science 12 Continuum Mechanics and Thermodynamics 12 SIAM Journal on Scientific Computing 11 Computers and Fluids 11 Computer Methods in Applied Mechanics and Engineering 11 Journal de Mathématiques Pures et Appliquées. Neuvième Série 11 SIAM Journal on Applied Mathematics 11 Nonlinear Analysis. Real World Applications 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 Physics Letters. A 10 Applied Numerical Mathematics 10 Mathematical and Computer Modelling 10 Physics of Fluids 9 Applicable Analysis 9 Advances in Mathematics 9 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 8 Journal of Functional Analysis 8 Proceedings of the American Mathematical Society 8 Quarterly of Applied Mathematics 8 Studies in Applied Mathematics 8 Transactions of the American Mathematical Society 8 Acta Applicandae Mathematicae 8 European Journal of Mechanics. B. Fluids 8 Multiscale Modeling & Simulation 7 Chaos, Solitons and Fractals 7 Acta Mathematicae Applicatae Sinica. English Series 7 Numerical Methods for Partial Differential Equations 7 Discrete and Continuous Dynamical Systems 7 Journal of Nonlinear Mathematical Physics 7 Discrete and Continuous Dynamical Systems. Series B 7 Science China. Mathematics 6 Wave Motion 6 Duke Mathematical Journal 6 Journal of Approximation Theory 6 Journal of Mathematical Fluid Mechanics 5 Theoretical and Mathematical Physics 5 Acta Mathematica Sinica. English Series 5 Annals of PDE 5 Séminaire Laurent Schwartz. EDP et Applications 4 Physica A 4 Functional Analysis and its Applications 4 Memoirs of the American Mathematical Society 4 Bulletin of the American Mathematical Society. New Series 4 Abstract and Applied Analysis 4 Acta Numerica 4 SMAI Journal of Computational Mathematics 3 Ukrainian Mathematical Journal 3 Journal of Geometry and Physics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Inventiones Mathematicae 3 Mathematics and Computers in Simulation 3 Ricerche di Matematica 3 Chinese Annals of Mathematics. Series B 3 COMPEL 3 Computational Mathematics and Mathematical Physics 3 Annales de l’Institut Henri Poincaré. Physique Théorique 3 Journal of Dynamics and Differential Equations 3 NoDEA. Nonlinear Differential Equations and Applications 3 Advances in Computational Mathematics 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Chaos 3 Communications in Contemporary Mathematics 3 Journal of Evolution Equations 3 Analysis and Applications (Singapore) 3 SIAM/ASA Journal on Uncertainty Quantification 3 Nonlinear Analysis. Theory, Methods & Applications 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 International Journal of Engineering Science 2 International Journal for Numerical Methods in Fluids ...and 126 more Serials
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#### Cited in 43 Fields

 1,013 Partial differential equations (35-XX) 601 Fluid mechanics (76-XX) 395 Statistical mechanics, structure of matter (82-XX) 341 Numerical analysis (65-XX) 144 Dynamical systems and ergodic theory (37-XX) 58 Probability theory and stochastic processes (60-XX) 48 Quantum theory (81-XX) 42 Ordinary differential equations (34-XX) 42 Optics, electromagnetic theory (78-XX) 41 Classical thermodynamics, heat transfer (80-XX) 30 Mechanics of deformable solids (74-XX) 28 Operator theory (47-XX) 26 Biology and other natural sciences (92-XX) 25 Integral equations (45-XX) 20 Geophysics (86-XX) 19 Astronomy and astrophysics (85-XX) 14 Algebraic geometry (14-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Approximations and expansions (41-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Mechanics of particles and systems (70-XX) 10 Operations research, mathematical programming (90-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 8 Statistics (62-XX) 8 Computer science (68-XX) 8 Information and communication theory, circuits (94-XX) 7 Special functions (33-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Systems theory; control (93-XX) 6 Potential theory (31-XX) 6 Functional analysis (46-XX) 5 Functions of a complex variable (30-XX) 5 Difference and functional equations (39-XX) 5 Integral transforms, operational calculus (44-XX) 4 Real functions (26-XX) 3 General and overarching topics; collections (00-XX) 3 Differential geometry (53-XX) 3 Relativity and gravitational theory (83-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Measure and integration (28-XX) 1 History and biography (01-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX)