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Caflisch, Russel E.

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Author ID: caflisch.russel-e Recent zbMATH articles by "Caflisch, Russel E."
Published as: Caflisch, Russel E.; Caflisch, Russel; Caflisch, R. E.; Caflisch, R.
External Links: MGP · ORCID · Wikidata
Documents Indexed: 124 Publications since 1979, including 2 Books
all top 5

Co-Authors

23 single-authored
10 Osher, Stanley Joel
10 Sammartino, Marco Maria Luigi
7 Papanicolaou, George C.
6 Dimits, Andris M.
6 Nicolaenko, Basil
5 Cohen, Bruce I.
5 Siegel, Michael
4 Bardos, Claude Williams
4 Ercolani, Nicholas M.
4 Gyure, Mark F.
4 Lombardo, Maria Carmela
4 Merriman, Barry
4 Miksis, Michael J.
4 Morokoff, William J.
4 Wang, Chiaming
3 Barekat, Farzin
3 Luke, Jonathan H. C.
3 Orellana, Oscar F.
3 Pareschi, Lorenzo
3 Ratsch, Christian
3 Ricketson, L. F.
3 Rosin, M. S.
3 Steele, Gregory
3 Ting, Lu
3 Yan, Bokai
2 Cambier, Jean-Luc
2 Chen, Susan
2 Dimarco, Giacomo
2 Fedkiw, Ronald P.
2 Gargano, Francesco
2 Hagan, Patrick S.
2 Hou, Thomas Yizhao
2 Kang, Myungjoo
2 Keller, Joseph Bishop
2 Lai, Rongjie
2 Lee, Youngju
2 Li, Xiaofan
2 Liu, Tai-Ping
2 Lowengrub, John Samuel
2 Moskowitz, Bradley
2 Ozoliņš, Vidvuds
2 Schaeffer, Hayden
2 Sciacca, Vincenzo
2 Wang, Yang
2 Woodward, Diana E.
1 Affouf, Mahmoud
1 Cheng, Li-Tien
1 Chou, Hung Hsu
1 Connell, Cameron R.
1 Engquist, Bjorn E.
1 Gibou, Frédéric
1 Hauck, Cory D.
1 Howison, Sam D.
1 Huang, Yanghong
1 Hyman, Jeffrey D.
1 Jin, Shi
1 Judy, Jack W.
1 Kao, Shin-Shin
1 Klapper, Isaac
1 Landis, Yelena
1 Le, Hai P.
1 Lee, Sunmi
1 Li, Bo
1 Lim, Chjan C.
1 Lin, Tungyou
1 Lu, Ting
1 Lund, Fernando
1 Luo, Erding
1 Maddocks, John H.
1 Majda, George
1 Malakuti, Kamyar
1 Margetis, Dionisios
1 Meyer, David G.
1 Motta, Paulo S.
1 Percus, Allon G.
1 Peskin, Charles S.
1 Robinson, Hans D.
1 Sangani, Ashok S.
1 Semmes, Stephen W.
1 Senouf, David
1 Sgarra, Carlo
1 Shelley, Michael J.
1 Shu, Shi
1 Siegel, Jonathan W.
1 Simms, Geoff
1 Strumolo, Gary S.
1 Sun, Yi
1 Thiyanaratnam, Pradeep
1 Tran, Giang N.
1 Virodov, Alex
1 Vvedensky, Dimitri D.
1 Xiao, Yingxiong
1 Xu, Jinchao
1 Yablonovitch, Eli
1 Zinck, J. J.
all top 5

Serials

12 Journal of Computational Physics
10 Communications on Pure and Applied Mathematics
7 Communications in Mathematical Physics
6 SIAM Journal on Applied Mathematics
5 Multiscale Modeling & Simulation
3 Journal of Fluid Mechanics
3 SIAM Journal on Numerical Analysis
3 Physica D
3 Proceedings of the National Academy of Sciences of the United States of America
2 IMA Journal of Applied Mathematics
2 Journal of Statistical Physics
2 Nonlinearity
2 Physics of Fluids
2 Transport Theory and Statistical Physics
2 Journal of Scientific Computing
2 SIAM Journal on Mathematical Analysis
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Communications in Mathematical Sciences
1 Mathematical Biosciences
1 Physica A
1 Physics of Fluids, A
1 Mathematics of Computation
1 Journal of Computational and Applied Mathematics
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 European Journal of Applied Mathematics
1 Communications in Partial Differential Equations
1 Linear Algebra and its Applications
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 SIAM Journal on Scientific Computing
1 Physics of Fluids
1 Selecta Mathematica. New Series
1 Methods and Applications of Analysis
1 Applied Mathematical Finance
1 Obozrenie Prikladnoĭ i Promyshlennoĭ Matematiki
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 International Journal of Modern Physics C
1 NATO ASI Series. Series C. Mathematical and Physical Sciences
1 Communications in Computational Physics
1 The Journal of Computational Finance
1 Rivista di Matematica della Università di Parma. New Series
1 Communications in Applied and Industrial Mathematics
1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA
1 Bollettino dell’Unione Matematica Italiana
1 Proceedings in Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

94 Publications have been cited 2,021 times in 1,514 Documents Cited by Year
Monte Carlo and quasi-Monte Carlo methods. Zbl 0949.65003
Caflisch, Russel E.
186
1998
Zero viscosity limit for analytic solutions, of the Navier-Stokes equation on a half-space. I: Existence for Euler and Prandtl equations. Zbl 0913.35102
Sammartino, Marco; Caflisch, Russel E.
149
1998
Zero viscosity limit for analytic solutions of the Navier-Stokes equation on a half-space. II: Construction of the Navier-Stokes solution. Zbl 0913.35103
Sammartino, Marco; Caflisch, Russel E.
130
1998
Remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD. Zbl 0874.76092
Caflisch, Russel E.; Klapper, Isaac; Steele, Gregory
119
1997
The Milne and Kramers problems for the Boltzmann equation of a hard sphere gas. Zbl 0612.76088
Bardos, Claude; Caflisch, Russel E.; Nicolaenko, Basil
79
1986
The fluid dynamic limit of the nonlinear Boltzmann equation. Zbl 0424.76060
Caflisch, Russel E.
69
1980
Quasi-random sequences and their discrepancies. Zbl 0815.65002
Morokoff, William J.; Caflisch, Russel E.
66
1994
Quasi-Monte Carlo integration. Zbl 0863.65005
Morokoff, William J.; Caflisch, Russel E.
60
1995
Uniformly accurate schemes for hyperbolic systems with relaxation. Zbl 0868.35070
Caflisch, Russel E.; Jin, Shi; Russo, Giovanni
60
1997
The Boltzmann equation with a soft potential. I: Linear, spatially- homogeneous. Zbl 0434.76065
Caflisch, Russel E.
58
1980
Global existence, singular solutions, and ill-posedness for the Muskat problem. Zbl 1062.35089
Siegel, Michael; Caflisch, Russel E.; Howison, Sam
53
2004
A level set approach for the numerical simulation of dendritic growth. Zbl 1081.74560
Gibou, Frédéric; Fedkiw, Ronald; Caflisch, Russel; Osher, Stanley
51
2003
Shock profile solutions of the Boltzmann equation. Zbl 0544.76063
Caflisch, Russel E.; Nicolaenko, Basil
49
1982
Variance in the sedimentation speed of a suspension. Zbl 0586.76044
Caflisch, Russel E.; Luke, Jonathan H. C.
46
1985
Smoothness and dimension reduction in quasi-Monte Carlo methods. Zbl 0858.65023
Moskowitz, B.; Caflisch, R. E.
45
1996
The fluid-dynamical limit of a nonlinear model Boltzmann equation. Zbl 0438.76059
Caflisch, Russel E.; Papanicolaou, George C.
42
1979
Singular solutions and ill-posedness for the evolution of vortex sheets. Zbl 0697.76029
Caflisch, Russel E.; Orellana, Oscar F.
40
1989
Singularity formation during Rayleigh-Taylor instability. Zbl 0791.76027
Baker, Gregory; Caflisch, Russel E.; Siegel, Michael
36
1993
Effective equations for wave propagation in bubbly liquids. Zbl 0605.76110
Caflisch, Russel E.; Miksis, Michael J.; Papanicolaou, George C.; Ting, Lu
36
1985
Dynamic theory of suspensions with Brownian effects. Zbl 0543.76133
Caflisch, R.; Papanicolaou, G. C.
33
1983
Sparse dynamics for partial differential equations. Zbl 1292.35012
Schaeffer, Hayden; Caflisch, Russel; Hauck, Cory D.; Osher, Stanley
33
2013
Compressed modes for variational problems in mathematics and physics. Zbl 1292.81024
Ozoliņš, Vidvuds; Lai, Rongjie; Caflisch, Russel; Osher, Stanley
31
2013
The Boltzmann equation with a soft potential. II: Nonlinear, spatially- periodic. Zbl 0434.76066
Caflisch, Russel E.
30
1980
Singularity formation for complex solutions of the 3D incompressible Euler equations. Zbl 0789.76013
Caflisch, Russel E.
27
1993
Existence and singularities for the Prandtl boundary layer equations. Zbl 1050.76016
Caflisch, R. E.; Sammartino, M.
23
2000
An implicit Monte Carlo method for rarefied gas dynamics. I: The space homogeneous case. Zbl 0953.76075
Pareschi, Lorenzo; Caflisch, Russel E.
22
1999
Navier-Stokes and Boltzmann shock profiles for a model of gas dynamics. Zbl 0387.76068
Caflisch, Russel E.
22
1979
Island dynamics and the level set method for epitaxial growth. Zbl 0937.35191
Caflisch, R. E.; Gyure, M. F.; Merriman, B.; Osher, S. J.; Ratsch, C.; Vvedensky, D. D.; Zinck, J. J.
21
1999
A quasi-Monte Carlo approach to particle simulation of the heat equation. Zbl 0796.65141
Morokoff, William J.; Caflisch, Russel E.
19
1993
Nonlinear dynamical theory of the elastica. Zbl 0589.73057
Caflisch, Russel E.; Maddocks, John H.
19
1984
Wave propagation in bubbly liquids at finite volume fraction. Zbl 0604.76081
Caflisch, Russel E.; Miksis, Michael J.; Papanicolaou, George C.; Lu, Ting
18
1985
Long time existence for a slightly perturbed vortex sheet. Zbl 0603.76039
Caflisch, Russel E.; Orellana, Oscar F.
17
1986
Multi-valued solutions and branch point singularities for nonlinear hyperbolic or elliptic systems. Zbl 0797.35007
Caflisch, Russel E.; Ercolani, Nicholas; Hou, Thomas Y.; Landis, Yelena
16
1993
Convergence of the vortex method for vortex sheets. Zbl 0676.76023
Caflisch, Russel E.; Lowengrub, John S.
15
1989
The collapse of an axi-symmetric, swirling vortex sheet. Zbl 0796.76022
Caflisch, Russel E.; Li, Xiaofan; Shelley, Michael J.
15
1993
A level set method for thin film epitaxial growth. Zbl 0993.74081
Chen, Susan; Merriman, Barry; Kang, Myungjoo; Caflisch, Russel E.; Ratsch, Christian; Cheng, Li-Tien; Gyure, Mark; Fedkiw, Ronald P.; Anderson, Christopher; Osher, Stanley
15
2001
A simplified version of the abstract Cauchy-Kowalewski theorem with weak singularities. Zbl 0723.35003
Caflisch, Russel E.
14
1990
Lagrangian theory for 3D vortex sheets with axial or helical symmetry. Zbl 0792.76009
Caflisch, Russel E.; Li, Xiao-Fan
13
1992
Stability of shock waves for the Broadwell equations. Zbl 0665.76089
Caflisch, Russel E.; Liu, Tai-Ping
12
1988
Compressed plane waves yield a compactly supported multiresolution basis for the Laplace operator. Zbl 1355.35054
Ozoliņš, Vidvuds; Lai, Rongjie; Caflisch, Russel; Osher, Stanley
12
2014
A hybrid method for accelerated simulation of Coulomb collisions in a plasma. Zbl 1177.82106
Caflisch, Russel; Wang, Chiaming; Dimarco, Giacomo; Cohen, Bruce; Dimits, Andris
11
2008
Navier-Stokes equations on an exterior circular domain: Construction of the solution and the zero viscosity limit. Zbl 0879.35120
Caflisch, Russel; Sammartino, Marco
10
1997
A numerical study of Riemann problem solutions and stability for a system of viscous conservation laws of mixed type. Zbl 0724.76040
Affouf, Mahmoud; Caflisch, Russel E.
10
1991
Pricing and hedging American-style options: a simple simulation-based approach. Zbl 1284.91576
Wang, Yang; Caflisch, Russel
9
2010
Periodic solutions for three sedimenting spheres. Zbl 0654.76024
Caflisch, Russel E.; Lim, Chjan; Luke, Jonathan H. C.; Sangani, Ashok S.
9
1988
Complex singularities and PDEs. Zbl 1342.65193
Caflisch, Russel E.; Gargano, Francesco; Sammartino, Marco; Sciacca, Vincenzo
8
2015
A localized approximation method for vortical flows. Zbl 0712.76026
Caflisch, R. E.; Orellana, O. F.; Siegel, M.
8
1990
Calculation of complex singular solutions to the 3D incompressible Euler equations. Zbl 1180.37124
Siegel, M.; Caflisch, R. E.
7
2009
PDEs with compressed solutions. Zbl 1329.35026
Caflisch, Russel E.; Osher, Stanley J.; Schaeffer, Hayden; Tran, Giang
7
2015
Particle simulation of Coulomb collisions: Comparing the methods of Takizuka & Abe and Nanbu. Zbl 1388.82032
Wang, Chiaming; Lin, Tungyou; Caflisch, Russel; Cohen, Bruce I.; Dimits, Andris M.
7
2008
Modified Monte Carlo methods using quasi-random sequences. Zbl 0831.65132
Caflisch, Russel E.; Moskowitz, Bradley
6
1995
Mathematical analysis of vortex dynamics. Zbl 0674.76012
Caflisch, Russel E.
6
1989
Asymptotic analysis of the linearized Navier-Stokes equation on an exterior circular domain: Explicit solution and the zero viscosity limit. Zbl 0985.35058
Lombardo, Maria Carmela; Caflisch, Russel E.; Sammartino, Marco
6
2001
Towards a hybrid Monte Carlo method for rarefied gas dynamics. Zbl 1038.76035
Caflisch, Russel E.; Pareschi, Lorenzo
6
2004
Pole dynamics and oscillations for the complex Burgers equation in the small-dispersion limit. Zbl 0906.35093
Senouf, D.; Caflisch, R.; Ercolani, N.
6
1996
The half-space problem for the Boltzmann equation at zero temperature. Zbl 0591.76133
Caflisch, Russel E.
6
1985
An inverse problem for Toeplitz matrices and the synthesis of discrete transmission lines. Zbl 0468.35080
Caflisch, Russel E.
5
1981
Analysis of island dynamics in epitaxial growth of thin films. Zbl 1062.74030
Caflisch, Russel E.; Li, Bo
5
2003
Multilevel Monte Carlo simulation of Coulomb collisions. Zbl 1351.82085
Rosin, M. S.; Ricketson, L. F.; Dimits, A. M.; Caflisch, R. E.; Cohen, B. I.
5
2014
A nonlinear approximation for vortex sheet evolution and singularity formation. Zbl 0692.76017
Caflisch, Russel E.; Semmes, Stephen
5
1990
Quasi-Monte Carlo simulation of random walks in finance. Zbl 0888.90019
Morokoff, William J.; Caflisch, Russel E.
4
1997
Understanding the accuracy of Nanbu’s numerical Coulomb collision operator. Zbl 1169.82018
Dimits, Andris M.; Wang, Chiaming; Caflisch, Russel; Cohen, Bruce I.; Huang, Yanghong
4
2009
Exact artificial boundary conditions for continuum and discrete elasticity. Zbl 1170.74306
Lee, Sunmi; Caflisch, Russel E.; Lee, Young-Ju
4
2006
Direct simulation Monte Carlo schemes for Coulomb interactions in plasmas. Zbl 1329.82123
Dimarco, Giacomo; Caflisch, Russel; Pareschi, Lorenzo
4
2010
Regularized Euler-\(\alpha \) motion of an infinite array of vortex sheets. Zbl 1367.35113
Caflisch, R. E.; Gargano, F.; Sammartino, M.; Sciacca, V.
4
2017
European option pricing with transaction costs and stochastic volatility: an asymptotic analysis. Zbl 1330.35460
Caflisch, R. E.; Gambino, G.; Sammartino, M.; Sgarra, C.
3
2015
Almost optimal convergence of the point vortex method for vortex sheets using numerical filtering. Zbl 0935.76068
Caflisch, Russel E.; Hou, Thomas Y.; Lowengrub, John
3
1999
Zero viscosity limit for analytic solutions of the Navier-Stokes equations. Zbl 0893.76015
Sammartino, Marco; Caflisch, Russel E.
3
1996
Vortex layers in the small viscosity limit. Zbl 1345.76033
Caflisch, R. E.; Sammartino, M.
3
2006
Growth, structure and pattern formation for thin films. Zbl 1203.74099
Caflisch, Russel E.
3
2008
An entropy based thermalization scheme for hybrid simulations of Coulomb collisions. Zbl 1351.82107
Ricketson, L. F.; Rosin, M. S.; Caflisch, R. E.; Dimits, A. M.
3
2014
Different aspects of the Milne problem (based on energy estimates). Zbl 0643.35089
Bardos, Claude; Caflisch, Russel; Nicolaenko, Basil
3
1987
Fluid dynamics and the Boltzmann equation. Zbl 0598.76090
Caflisch, Russel
3
1984
An application of multigrid methods for a discrete elastic model for epitaxial systems. Zbl 1189.82142
Caflisch, R. E.; Lee, Young-Ju; Shu, Shi; Xiao, Yingxiong; Xu, Jinchao
3
2006
A semi-analytic approach to Euler singularities. Zbl 1100.76009
Caflisch, Russel E.; Siegel, Michael
3
2004
Level set methods, with an application to modeling the growth of thin films. Zbl 0929.35192
Merriman, B.; Caflisch, R.; Osher, S.
2
1999
Geometry of singularities for the steady Boussinesq equations. Zbl 0868.35089
Caflisch, Russel E.; Ercolani, Nicholas; Steele, Gregory
2
1996
Higher-order time integration of Coulomb collisions in a plasma using Langevin equations. Zbl 1299.76317
Dimits, A. M.; Cohen, B. I.; Caflisch, R. E.; Rosin, M. S.; Ricketson, L. F.
2
2013
A Monte Carlo method with negative particles for Coulomb collisions. Zbl 1349.82131
Yan, Bokai; Caflisch, Russel E.
2
2015
Long time existence and singularity formation for vortex sheets. Zbl 0653.76018
Caflisch, Russel E.
2
1988
The sound of a singularity. Zbl 0667.76121
Caflisch, Russel E.; Lund, Fernando
2
1989
Island dynamics and level set methods for continuum modeling of epitaxial growth. Zbl 0991.65075
Merriman, Barry; Caflisch, Russel; Osher, Stanley; Ratsch, Christian; Chen, Susan; Kang, Myungjoo; Gyure, Mark
2
2000
Thermal layer solutions of the Boltzmann equation. Zbl 0595.76075
Bardos, Claude; Caflisch, Russel; Nicolaenko, Basil
2
1985
The elastic field of a surface step: The Marchenko–Parshin formula in the linear case. Zbl 1101.74011
Connell, Cameron R.; Caflisch, Russel E.; Luo, Erding; Simms, Geoff
2
2006
Shock waves and the Boltzmann equation. Zbl 0523.76064
Caflisch, Russel; Nicolaenko, Basil
1
1983
Optimal pricing, use and exploration of uncertain natural resources. Zbl 0832.90011
Hagan, Patrick S.; Woodward, Diana E.; Caflisch, Russel E.; Keller, Joseph B.
1
1994
Distortion of the arterial pulse. Zbl 0439.92006
Caflisch, Russel; Majda, George; Peskin, Charles; Strumolo, Gary
1
1980
Modeling, design, and optimization of a solid state electron spin qubit. Zbl 1072.81012
Caflisch, R. E.; Gyure, Mark F.; Robinson, Hans D.; Yablonovitch, Eli
1
2005
Detection of complex singularities for a function of several variables. Zbl 1282.76089
Malakuti, Kamyar; Caflisch, Russel E.; Siegel, Michael; Virodov, Alex
1
2013
Vortex layers of small thickness. Zbl 1452.35146
Caflisch, R. E.; Lombardo, M. C.; Sammartino, M. M. L.
1
2020
Simulation with fluctuating and singular rates. Zbl 1373.82038
Barekat, Farzin; Caflisch, Russel
1
2014
On the support of compressed modes. Zbl 1379.49003
Barekat, Farzin; Caflisch, Russel; Osher, Stanley
1
2017
Non-local scattering kernel and the hydrodynamic limit. Zbl 1134.82021
Lombardo, Maria Carmela; Caflisch, Russel E.; Sammartino, Marco
1
2008
Strain in layered nanocrystals. Zbl 1131.74008
Bae, Y.; Caflisch, R. E.
1
2007
Vortex layers of small thickness. Zbl 1452.35146
Caflisch, R. E.; Lombardo, M. C.; Sammartino, M. M. L.
1
2020
Regularized Euler-\(\alpha \) motion of an infinite array of vortex sheets. Zbl 1367.35113
Caflisch, R. E.; Gargano, F.; Sammartino, M.; Sciacca, V.
4
2017
On the support of compressed modes. Zbl 1379.49003
Barekat, Farzin; Caflisch, Russel; Osher, Stanley
1
2017
Complex singularities and PDEs. Zbl 1342.65193
Caflisch, Russel E.; Gargano, Francesco; Sammartino, Marco; Sciacca, Vincenzo
8
2015
PDEs with compressed solutions. Zbl 1329.35026
Caflisch, Russel E.; Osher, Stanley J.; Schaeffer, Hayden; Tran, Giang
7
2015
European option pricing with transaction costs and stochastic volatility: an asymptotic analysis. Zbl 1330.35460
Caflisch, R. E.; Gambino, G.; Sammartino, M.; Sgarra, C.
3
2015
A Monte Carlo method with negative particles for Coulomb collisions. Zbl 1349.82131
Yan, Bokai; Caflisch, Russel E.
2
2015
Compressed plane waves yield a compactly supported multiresolution basis for the Laplace operator. Zbl 1355.35054
Ozoliņš, Vidvuds; Lai, Rongjie; Caflisch, Russel; Osher, Stanley
12
2014
Multilevel Monte Carlo simulation of Coulomb collisions. Zbl 1351.82085
Rosin, M. S.; Ricketson, L. F.; Dimits, A. M.; Caflisch, R. E.; Cohen, B. I.
5
2014
An entropy based thermalization scheme for hybrid simulations of Coulomb collisions. Zbl 1351.82107
Ricketson, L. F.; Rosin, M. S.; Caflisch, R. E.; Dimits, A. M.
3
2014
Simulation with fluctuating and singular rates. Zbl 1373.82038
Barekat, Farzin; Caflisch, Russel
1
2014
Sparse dynamics for partial differential equations. Zbl 1292.35012
Schaeffer, Hayden; Caflisch, Russel; Hauck, Cory D.; Osher, Stanley
33
2013
Compressed modes for variational problems in mathematics and physics. Zbl 1292.81024
Ozoliņš, Vidvuds; Lai, Rongjie; Caflisch, Russel; Osher, Stanley
31
2013
Higher-order time integration of Coulomb collisions in a plasma using Langevin equations. Zbl 1299.76317
Dimits, A. M.; Cohen, B. I.; Caflisch, R. E.; Rosin, M. S.; Ricketson, L. F.
2
2013
Detection of complex singularities for a function of several variables. Zbl 1282.76089
Malakuti, Kamyar; Caflisch, Russel E.; Siegel, Michael; Virodov, Alex
1
2013
Pricing and hedging American-style options: a simple simulation-based approach. Zbl 1284.91576
Wang, Yang; Caflisch, Russel
9
2010
Direct simulation Monte Carlo schemes for Coulomb interactions in plasmas. Zbl 1329.82123
Dimarco, Giacomo; Caflisch, Russel; Pareschi, Lorenzo
4
2010
Calculation of complex singular solutions to the 3D incompressible Euler equations. Zbl 1180.37124
Siegel, M.; Caflisch, R. E.
7
2009
Understanding the accuracy of Nanbu’s numerical Coulomb collision operator. Zbl 1169.82018
Dimits, Andris M.; Wang, Chiaming; Caflisch, Russel; Cohen, Bruce I.; Huang, Yanghong
4
2009
A hybrid method for accelerated simulation of Coulomb collisions in a plasma. Zbl 1177.82106
Caflisch, Russel; Wang, Chiaming; Dimarco, Giacomo; Cohen, Bruce; Dimits, Andris
11
2008
Particle simulation of Coulomb collisions: Comparing the methods of Takizuka & Abe and Nanbu. Zbl 1388.82032
Wang, Chiaming; Lin, Tungyou; Caflisch, Russel; Cohen, Bruce I.; Dimits, Andris M.
7
2008
Growth, structure and pattern formation for thin films. Zbl 1203.74099
Caflisch, Russel E.
3
2008
Non-local scattering kernel and the hydrodynamic limit. Zbl 1134.82021
Lombardo, Maria Carmela; Caflisch, Russel E.; Sammartino, Marco
1
2008
Strain in layered nanocrystals. Zbl 1131.74008
Bae, Y.; Caflisch, R. E.
1
2007
Exact artificial boundary conditions for continuum and discrete elasticity. Zbl 1170.74306
Lee, Sunmi; Caflisch, Russel E.; Lee, Young-Ju
4
2006
Vortex layers in the small viscosity limit. Zbl 1345.76033
Caflisch, R. E.; Sammartino, M.
3
2006
An application of multigrid methods for a discrete elastic model for epitaxial systems. Zbl 1189.82142
Caflisch, R. E.; Lee, Young-Ju; Shu, Shi; Xiao, Yingxiong; Xu, Jinchao
3
2006
The elastic field of a surface step: The Marchenko–Parshin formula in the linear case. Zbl 1101.74011
Connell, Cameron R.; Caflisch, Russel E.; Luo, Erding; Simms, Geoff
2
2006
Modeling, design, and optimization of a solid state electron spin qubit. Zbl 1072.81012
Caflisch, R. E.; Gyure, Mark F.; Robinson, Hans D.; Yablonovitch, Eli
1
2005
Global existence, singular solutions, and ill-posedness for the Muskat problem. Zbl 1062.35089
Siegel, Michael; Caflisch, Russel E.; Howison, Sam
53
2004
Towards a hybrid Monte Carlo method for rarefied gas dynamics. Zbl 1038.76035
Caflisch, Russel E.; Pareschi, Lorenzo
6
2004
A semi-analytic approach to Euler singularities. Zbl 1100.76009
Caflisch, Russel E.; Siegel, Michael
3
2004
A level set approach for the numerical simulation of dendritic growth. Zbl 1081.74560
Gibou, Frédéric; Fedkiw, Ronald; Caflisch, Russel; Osher, Stanley
51
2003
Analysis of island dynamics in epitaxial growth of thin films. Zbl 1062.74030
Caflisch, Russel E.; Li, Bo
5
2003
A level set method for thin film epitaxial growth. Zbl 0993.74081
Chen, Susan; Merriman, Barry; Kang, Myungjoo; Caflisch, Russel E.; Ratsch, Christian; Cheng, Li-Tien; Gyure, Mark; Fedkiw, Ronald P.; Anderson, Christopher; Osher, Stanley
15
2001
Asymptotic analysis of the linearized Navier-Stokes equation on an exterior circular domain: Explicit solution and the zero viscosity limit. Zbl 0985.35058
Lombardo, Maria Carmela; Caflisch, Russel E.; Sammartino, Marco
6
2001
Existence and singularities for the Prandtl boundary layer equations. Zbl 1050.76016
Caflisch, R. E.; Sammartino, M.
23
2000
Island dynamics and level set methods for continuum modeling of epitaxial growth. Zbl 0991.65075
Merriman, Barry; Caflisch, Russel; Osher, Stanley; Ratsch, Christian; Chen, Susan; Kang, Myungjoo; Gyure, Mark
2
2000
An implicit Monte Carlo method for rarefied gas dynamics. I: The space homogeneous case. Zbl 0953.76075
Pareschi, Lorenzo; Caflisch, Russel E.
22
1999
Island dynamics and the level set method for epitaxial growth. Zbl 0937.35191
Caflisch, R. E.; Gyure, M. F.; Merriman, B.; Osher, S. J.; Ratsch, C.; Vvedensky, D. D.; Zinck, J. J.
21
1999
Almost optimal convergence of the point vortex method for vortex sheets using numerical filtering. Zbl 0935.76068
Caflisch, Russel E.; Hou, Thomas Y.; Lowengrub, John
3
1999
Level set methods, with an application to modeling the growth of thin films. Zbl 0929.35192
Merriman, B.; Caflisch, R.; Osher, S.
2
1999
Monte Carlo and quasi-Monte Carlo methods. Zbl 0949.65003
Caflisch, Russel E.
186
1998
Zero viscosity limit for analytic solutions, of the Navier-Stokes equation on a half-space. I: Existence for Euler and Prandtl equations. Zbl 0913.35102
Sammartino, Marco; Caflisch, Russel E.
149
1998
Zero viscosity limit for analytic solutions of the Navier-Stokes equation on a half-space. II: Construction of the Navier-Stokes solution. Zbl 0913.35103
Sammartino, Marco; Caflisch, Russel E.
130
1998
Remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD. Zbl 0874.76092
Caflisch, Russel E.; Klapper, Isaac; Steele, Gregory
119
1997
Uniformly accurate schemes for hyperbolic systems with relaxation. Zbl 0868.35070
Caflisch, Russel E.; Jin, Shi; Russo, Giovanni
60
1997
Navier-Stokes equations on an exterior circular domain: Construction of the solution and the zero viscosity limit. Zbl 0879.35120
Caflisch, Russel; Sammartino, Marco
10
1997
Quasi-Monte Carlo simulation of random walks in finance. Zbl 0888.90019
Morokoff, William J.; Caflisch, Russel E.
4
1997
Smoothness and dimension reduction in quasi-Monte Carlo methods. Zbl 0858.65023
Moskowitz, B.; Caflisch, R. E.
45
1996
Pole dynamics and oscillations for the complex Burgers equation in the small-dispersion limit. Zbl 0906.35093
Senouf, D.; Caflisch, R.; Ercolani, N.
6
1996
Zero viscosity limit for analytic solutions of the Navier-Stokes equations. Zbl 0893.76015
Sammartino, Marco; Caflisch, Russel E.
3
1996
Geometry of singularities for the steady Boussinesq equations. Zbl 0868.35089
Caflisch, Russel E.; Ercolani, Nicholas; Steele, Gregory
2
1996
Quasi-Monte Carlo integration. Zbl 0863.65005
Morokoff, William J.; Caflisch, Russel E.
60
1995
Modified Monte Carlo methods using quasi-random sequences. Zbl 0831.65132
Caflisch, Russel E.; Moskowitz, Bradley
6
1995
Quasi-random sequences and their discrepancies. Zbl 0815.65002
Morokoff, William J.; Caflisch, Russel E.
66
1994
Optimal pricing, use and exploration of uncertain natural resources. Zbl 0832.90011
Hagan, Patrick S.; Woodward, Diana E.; Caflisch, Russel E.; Keller, Joseph B.
1
1994
Singularity formation during Rayleigh-Taylor instability. Zbl 0791.76027
Baker, Gregory; Caflisch, Russel E.; Siegel, Michael
36
1993
Singularity formation for complex solutions of the 3D incompressible Euler equations. Zbl 0789.76013
Caflisch, Russel E.
27
1993
A quasi-Monte Carlo approach to particle simulation of the heat equation. Zbl 0796.65141
Morokoff, William J.; Caflisch, Russel E.
19
1993
Multi-valued solutions and branch point singularities for nonlinear hyperbolic or elliptic systems. Zbl 0797.35007
Caflisch, Russel E.; Ercolani, Nicholas; Hou, Thomas Y.; Landis, Yelena
16
1993
The collapse of an axi-symmetric, swirling vortex sheet. Zbl 0796.76022
Caflisch, Russel E.; Li, Xiaofan; Shelley, Michael J.
15
1993
Lagrangian theory for 3D vortex sheets with axial or helical symmetry. Zbl 0792.76009
Caflisch, Russel E.; Li, Xiao-Fan
13
1992
A numerical study of Riemann problem solutions and stability for a system of viscous conservation laws of mixed type. Zbl 0724.76040
Affouf, Mahmoud; Caflisch, Russel E.
10
1991
A simplified version of the abstract Cauchy-Kowalewski theorem with weak singularities. Zbl 0723.35003
Caflisch, Russel E.
14
1990
A localized approximation method for vortical flows. Zbl 0712.76026
Caflisch, R. E.; Orellana, O. F.; Siegel, M.
8
1990
A nonlinear approximation for vortex sheet evolution and singularity formation. Zbl 0692.76017
Caflisch, Russel E.; Semmes, Stephen
5
1990
Singular solutions and ill-posedness for the evolution of vortex sheets. Zbl 0697.76029
Caflisch, Russel E.; Orellana, Oscar F.
40
1989
Convergence of the vortex method for vortex sheets. Zbl 0676.76023
Caflisch, Russel E.; Lowengrub, John S.
15
1989
Mathematical analysis of vortex dynamics. Zbl 0674.76012
Caflisch, Russel E.
6
1989
The sound of a singularity. Zbl 0667.76121
Caflisch, Russel E.; Lund, Fernando
2
1989
Stability of shock waves for the Broadwell equations. Zbl 0665.76089
Caflisch, Russel E.; Liu, Tai-Ping
12
1988
Periodic solutions for three sedimenting spheres. Zbl 0654.76024
Caflisch, Russel E.; Lim, Chjan; Luke, Jonathan H. C.; Sangani, Ashok S.
9
1988
Long time existence and singularity formation for vortex sheets. Zbl 0653.76018
Caflisch, Russel E.
2
1988
Different aspects of the Milne problem (based on energy estimates). Zbl 0643.35089
Bardos, Claude; Caflisch, Russel; Nicolaenko, Basil
3
1987
The Milne and Kramers problems for the Boltzmann equation of a hard sphere gas. Zbl 0612.76088
Bardos, Claude; Caflisch, Russel E.; Nicolaenko, Basil
79
1986
Long time existence for a slightly perturbed vortex sheet. Zbl 0603.76039
Caflisch, Russel E.; Orellana, Oscar F.
17
1986
Variance in the sedimentation speed of a suspension. Zbl 0586.76044
Caflisch, Russel E.; Luke, Jonathan H. C.
46
1985
Effective equations for wave propagation in bubbly liquids. Zbl 0605.76110
Caflisch, Russel E.; Miksis, Michael J.; Papanicolaou, George C.; Ting, Lu
36
1985
Wave propagation in bubbly liquids at finite volume fraction. Zbl 0604.76081
Caflisch, Russel E.; Miksis, Michael J.; Papanicolaou, George C.; Lu, Ting
18
1985
The half-space problem for the Boltzmann equation at zero temperature. Zbl 0591.76133
Caflisch, Russel E.
6
1985
Thermal layer solutions of the Boltzmann equation. Zbl 0595.76075
Bardos, Claude; Caflisch, Russel; Nicolaenko, Basil
2
1985
Nonlinear dynamical theory of the elastica. Zbl 0589.73057
Caflisch, Russel E.; Maddocks, John H.
19
1984
Fluid dynamics and the Boltzmann equation. Zbl 0598.76090
Caflisch, Russel
3
1984
Dynamic theory of suspensions with Brownian effects. Zbl 0543.76133
Caflisch, R.; Papanicolaou, G. C.
33
1983
Shock waves and the Boltzmann equation. Zbl 0523.76064
Caflisch, Russel; Nicolaenko, Basil
1
1983
Shock profile solutions of the Boltzmann equation. Zbl 0544.76063
Caflisch, Russel E.; Nicolaenko, Basil
49
1982
An inverse problem for Toeplitz matrices and the synthesis of discrete transmission lines. Zbl 0468.35080
Caflisch, Russel E.
5
1981
The fluid dynamic limit of the nonlinear Boltzmann equation. Zbl 0424.76060
Caflisch, Russel E.
69
1980
The Boltzmann equation with a soft potential. I: Linear, spatially- homogeneous. Zbl 0434.76065
Caflisch, Russel E.
58
1980
The Boltzmann equation with a soft potential. II: Nonlinear, spatially- periodic. Zbl 0434.76066
Caflisch, Russel E.
30
1980
Distortion of the arterial pulse. Zbl 0439.92006
Caflisch, Russel; Majda, George; Peskin, Charles; Strumolo, Gary
1
1980
The fluid-dynamical limit of a nonlinear model Boltzmann equation. Zbl 0438.76059
Caflisch, Russel E.; Papanicolaou, George C.
42
1979
Navier-Stokes and Boltzmann shock profiles for a model of gas dynamics. Zbl 0387.76068
Caflisch, Russel E.
22
1979
all top 5

Cited by 1,988 Authors

26 Caflisch, Russel E.
24 Hou, Thomas Yizhao
22 Yang, Tong
19 Pareschi, Lorenzo
19 Wang, Xiaoqun
18 Dimarco, Giacomo
18 Gibou, Frédéric
17 Gancedo, Francisco
17 Xin, Zhouping
17 Zhang, Zhifei
16 Cordoba, Diego
15 Golse, François
13 Aoki, Kazuo
13 Takata, Shigeru
13 Vicol, Vlad C.
12 Duan, Renjun
11 Jin, Shi
11 Osher, Stanley Joel
11 Sammartino, Marco Maria Luigi
11 Sone, Yoshio
11 Wang, Shu
10 Ambrose, David M.
10 Forbes, Lawrence K.
10 Liu, Cheng-Jie
10 Yu, Hongjun
9 Bardos, Claude Williams
9 Fefferman, Charles Louis
9 Hickernell, Fred J.
9 Jiang, Ning
9 Kutz, J. Nathan
9 Liu, Shuangqian
9 Masmoudi, Nader
9 Sciacca, Vincenzo
9 Strain, Robert M.
9 Wang, Ya-Guang
9 Yu, Shih-Hsien
8 Brunton, Steven L.
8 Gargano, Francesco
8 Guazzelli, Élisabeth
8 Koch, Donald L.
8 Kukavica, Igor
8 Lowengrub, John Samuel
8 Nguyen, Toan Trong
8 Wu, Jiahong
8 Xie, Feng
8 Zhao, Huijiang
7 Ammari, Habib M.
7 Degond, Pierre
7 Huang, Feimin
7 Klar, Axel
7 Lécot, Christian
7 Li, Qin
7 Liu, Jianguo
7 Lopes Filho, Milton da Costa
7 Min, Chohong
7 Nussenzveig Lopes, Helena Judith
7 Saint-Raymond, Laure
7 Samaey, Giovanni
7 Tzavaras, Athanasios E.
7 Yuan, Baoquan
6 Bergougnoux, Laurence
6 Constantin, Peter
6 Esposito, Raffaele
6 Fedkiw, Ronald P.
6 Gala, Sadek
6 Grenier, Emmanuel
6 Guo, Yan
6 Harbrecht, Helmut
6 Lombardo, Maria Carmela
6 Loubère, Raphaël
6 Matioc, Bogdan-Vasile
6 Schaeffer, Hayden
6 Temam, Roger Meyer
6 Tempone, Raúl F.
6 Wang, Xiaoming
6 Wang, Yi
6 Zhang, Pingwen
5 Bernhoff, Niclas
5 Cercignani, Carlo
5 Cools, Ronald
5 Ding, Shijin
5 He, Zhijian
5 Hu, Jingwei
5 Lachowicz, Mirosław
5 Lemou, Mohammed
5 Marra, Rossana
5 Mieussens, Luc
5 Ökten, Giray
5 Owen, Art B.
5 Palczewski, Andrzej
5 Ratsch, Christian
5 Shaqfeh, Eric S. G.
5 Tian, Qianzhu
5 Titi, Edriss Saleh
5 Wang, Yuxi
4 Antman, Stuart S.
4 Banda, Mapundi Kondwani
4 Bochkov, Daniil
4 Boscarino, Sebastiano
4 Boyle, Phelim P.
...and 1,888 more Authors
all top 5

Cited in 265 Serials

135 Journal of Computational Physics
61 Archive for Rational Mechanics and Analysis
60 Journal of Differential Equations
60 Physics of Fluids
43 Journal of Fluid Mechanics
36 Journal of Statistical Physics
36 Journal of Scientific Computing
33 Communications in Mathematical Physics
31 Journal of Mathematical Analysis and Applications
29 Transport Theory and Statistical Physics
29 Physica D
29 SIAM Journal on Mathematical Analysis
28 Journal of Computational and Applied Mathematics
22 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
22 SIAM Journal on Scientific Computing
21 Journal of Complexity
19 Communications in Partial Differential Equations
18 Computer Methods in Applied Mechanics and Engineering
17 Multiscale Modeling & Simulation
16 Journal of Mathematical Physics
16 Mathematics and Computers in Simulation
15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
15 Journal of Mathematical Fluid Mechanics
14 Communications on Pure and Applied Mathematics
13 Advances in Mathematics
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
12 SIAM Journal on Numerical Analysis
12 Applied Numerical Mathematics
12 Journal of Nonlinear Science
12 Monte Carlo Methods and Applications
12 SIAM/ASA Journal on Uncertainty Quantification
11 Computers & Mathematics with Applications
11 Mathematical Methods in the Applied Sciences
11 Physics of Fluids, A
11 Mathematics of Computation
10 Applied Mathematics Letters
9 Applied Mathematics and Computation
9 Quarterly of Applied Mathematics
9 Nonlinear Analysis. Real World Applications
9 Annals of PDE
8 Applicable Analysis
8 Computers and Fluids
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Journal of Functional Analysis
8 Acta Applicandae Mathematicae
8 Proceedings of the National Academy of Sciences of the United States of America
7 Journal of Engineering Mathematics
7 Acta Mathematicae Applicatae Sinica. English Series
7 Mathematical and Computer Modelling
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Discrete and Continuous Dynamical Systems
7 European Journal of Mechanics. B. Fluids
7 Quantitative Finance
7 Journal of Hyperbolic Differential Equations
7 Kinetic and Related Models
7 Statistics and Computing
6 Computer Physics Communications
6 Applied Mathematical Modelling
6 Bulletin of the American Mathematical Society. New Series
6 Communications on Pure and Applied Analysis
5 Nonlinearity
5 Meccanica
5 Numerische Mathematik
5 Transactions of the American Mathematical Society
5 Insurance Mathematics & Economics
5 European Journal of Applied Mathematics
5 European Journal of Operational Research
5 Linear Algebra and its Applications
5 SIAM Journal on Applied Mathematics
5 Calculus of Variations and Partial Differential Equations
5 Acta Mathematica Sinica. English Series
5 Computational Geosciences
5 Boundary Value Problems
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 International Journal for Numerical Methods in Engineering
4 Journal of Economic Dynamics & Control
4 Journal of the American Mathematical Society
4 Japan Journal of Industrial and Applied Mathematics
4 Computational Statistics and Data Analysis
4 Mathematical Problems in Engineering
4 Chaos
4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
3 Acta Mechanica
3 Theoretical and Computational Fluid Dynamics
3 Indiana University Mathematics Journal
3 Chinese Annals of Mathematics. Series B
3 Japan Journal of Applied Mathematics
3 Computational Mechanics
3 Journal of Dynamics and Differential Equations
3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Annals of Mathematics. Second Series
3 The ANZIAM Journal
3 Archives of Computational Methods in Engineering
3 Acta Mathematica Scientia. Series B. (English Edition)
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Journal of Machine Learning Research (JMLR)
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Bulletin of the Brazilian Mathematical Society. New Series
3 SIAM Journal on Applied Dynamical Systems
3 Analysis and Applications (Singapore)
...and 165 more Serials
all top 5

Cited in 40 Fields

857 Fluid mechanics (76-XX)
751 Partial differential equations (35-XX)
445 Numerical analysis (65-XX)
247 Statistical mechanics, structure of matter (82-XX)
87 Probability theory and stochastic processes (60-XX)
65 Mechanics of deformable solids (74-XX)
64 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
62 Statistics (62-XX)
44 Classical thermodynamics, heat transfer (80-XX)
35 Biology and other natural sciences (92-XX)
31 Number theory (11-XX)
30 Integral equations (45-XX)
29 Computer science (68-XX)
26 Dynamical systems and ergodic theory (37-XX)
23 Ordinary differential equations (34-XX)
22 Operations research, mathematical programming (90-XX)
19 Calculus of variations and optimal control; optimization (49-XX)
19 Optics, electromagnetic theory (78-XX)
17 Harmonic analysis on Euclidean spaces (42-XX)
17 Geophysics (86-XX)
16 Approximations and expansions (41-XX)
14 Quantum theory (81-XX)
13 Mechanics of particles and systems (70-XX)
13 Systems theory; control (93-XX)
13 Information and communication theory, circuits (94-XX)
10 Operator theory (47-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
7 Functional analysis (46-XX)
4 Combinatorics (05-XX)
4 Differential geometry (53-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Astronomy and astrophysics (85-XX)
2 Real functions (26-XX)
2 Potential theory (31-XX)
2 Integral transforms, operational calculus (44-XX)
2 Relativity and gravitational theory (83-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)

Citations by Year

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