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LeVeque, Randall J.

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Author ID: leveque.randall-j Recent zbMATH articles by "LeVeque, Randall J."
Published as: LeVeque, Randall J.; LeVeque, R. J.; Leveque, Randall J.; LeVeque, Randall; Leveque, R. J.
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87 Publications have been cited 5,314 times in 4,176 Documents Cited by Year
Finite volume methods for hyperbolic problems. Zbl 1010.65040
LeVeque, Randall J.
2002
The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0811.65083
LeVeque, Randall J.; Li, Zhilin
572
1994
Numerical methods for conservation laws. 2nd ed. Zbl 0847.65053
LeVeque, Randall J.
565
1992
Finite difference methods for ordinary and partial differential equations. Steady-state and time-dependent problems. Zbl 1127.65080
LeVeque, Randall J.
289
2007
Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm. Zbl 0931.76059
LeVeque, Randall J.
283
1998
High-resolution conservative algorithms for advection in incompressible flow. Zbl 0852.76057
LeVeque, Randall J.
257
1996
A study of numerical methods for hyperbolic conservation laws with stiff source terms. Zbl 0682.76053
LeVeque, R. J.; Yee, H. C.
230
1990
Immersed interface methods for Stokes flow with elastic boundaries or surface tension. Zbl 0879.76061
LeVeque, Randall J.; Li, Zhilin
198
1997
Numerical methods for conservation laws. Zbl 0723.65067
LeVeque, Randall J.
153
1990
An immersed interface method for incompressible Navier–Stokes equations. Zbl 1163.65322
Lee, Long; LeVeque, Randall J.
143
2003
Wave propagation algorithms for multidimensional hyperbolic systems. Zbl 0872.76075
LeVeque, Randall J.
107
1997
A wave propagation method for conservation laws and balance laws with spatially varying flux functions. Zbl 1034.65068
Bale, Derek S.; LeVeque, Randall J.; Mitran, Sorin; Rossmanith, James A.
84
2002
Analysis of a one-dimensional model for the immersed boundary method. Zbl 0762.65052
Beyer, R. P.; LeVeque, R. J.
82
1992
Adaptive mesh refinement using wave-propagation algorithms for hyperbolic systems. Zbl 0921.65070
Berger, Marsha J.; LeVeque, Randall J.
70
1998
Fractional step methods applied to a chemotaxis model. Zbl 1002.92003
Tyson, Rebecca; Stern, L. G.; LeVeque, Randall J.
67
2000
Solitary-wave interactions in elastic rods. Zbl 0606.73028
Clarkson, Peter A.; LeVeque, Randall J.; Saxton, Ralph
62
1986
On the accuracy of stable schemes for 2D scalar conservation laws. Zbl 0592.65058
Goodman, Jonathan B.; LeVeque, Randall J.
50
1985
The immersed interface method for acoustic wave equations with discontinuous coefficients. Zbl 0915.76084
Zhang, Chaoming; LeVeque, Randall J.
44
1997
A wave propagation method for three-dimensional hyperbolic conservation laws. Zbl 0967.65095
Langseth, Jan Olav; LeVeque, Randall J.
39
2000
Two-dimensional front tracking based on high resolution wave propagation methods. Zbl 0849.65063
LeVeque, Randall J.; Shyue, Keh-Ming
37
1996
H-box methods for the approximation of hyperbolic conservation laws on irregular grids. Zbl 1066.65082
Berger, Marsha J.; Helzel, Christiane; LeVeque, Randall J.
37
2003
On the resolvent condition in the Kreiss matrix theorem. Zbl 0559.15018
LeVeque, Randall J.; Trefethen, Lloyd N.
37
1984
Wave propagation methods for conservation laws with source terms. Zbl 0927.35062
LeVeque, Randall J.; Bale, Derek S.
35
1999
A class of approximate Riemann solvers and their relation to relaxation schemes. Zbl 0988.65072
LeVeque, Randall J.; Pelanti, Marica
35
2001
Logically rectangular grids and finite volume methods for PDEs in circular and spherical domains. Zbl 1155.65061
Calhoun, Donna A.; Helzel, Christiane; LeVeque, Randall J.
31
2008
A modified fractional step method for the accurate approximation of detonation waves. Zbl 0983.65105
Helzel, Christiane; LeVeque, Randall J.; Warnecke, Gerald
30
2000
High resolution finite volume methods on arbitrary grids via wave propagation. Zbl 0649.65050
LeVeque, Randall J.
30
1988
A large time step generalization of Godunov’s method for systems of conservation laws. Zbl 0584.65058
LeVeque, Randall J.
28
1985
A Cartesian grid finite-volume method for the advection-diffusion equation in irregular geometries. Zbl 0952.65075
Calhoun, Donna; LeVeque, Randall J.
26
2000
The dynamics of pressureless dust clouds and delta waves. Zbl 1079.76074
LeVeque, Randall J.
25
2004
A high-resolution rotated grid method for conservation laws with embedded geometries. Zbl 1074.35071
Helzel, Christiane; Berger, M. J.; LeVeque, R. J.
25
2005
Numerical methods based on additive splittings for hyperbolic partial differential equations. Zbl 0516.65075
LeVeque, Randall J.; Oliger, Joseph
24
1983
Tsunami modelling with adaptively refined finite volume methods. Zbl 1426.76394
LeVeque, Randall J.; George, David L.; Berger, Marsha J.
23
2011
One-dimensional front tracking based on high resolution wave propagation methods. Zbl 0824.65094
LeVeque, Randall J.; Shyue, Keh-Ming
23
1995
Solitary waves in layered nonlinear media. Zbl 1075.74047
LeVeque, Randall J.; Yong, Darryl H.
22
2003
A wave propagation algorithm for hyperbolic systems on curved manifolds. Zbl 1126.76350
Rossmanith, James A.; Bale, Derek S.; LeVeque, Randall J.
21
2004
A geometric approach to high resolution TVD schemes. Zbl 0645.65051
Goodman, Jonathan B.; LeVeque, Randall J.
21
1988
High-order wave propagation algorithms for hyperbolic systems. Zbl 1264.65151
Ketcheson, David I.; Parsani, Matteo; LeVeque, Randall J.
21
2013
Large time step shock-capturing techniques for scalar conservation laws. Zbl 0493.65040
LeVeque, Randall J.
19
1982
Algorithms for computing the sample variance: Analysis and recommendations. Zbl 0521.65098
Chan, Tony F.; Golub, Gene H.; LeVeque, Randall J.
18
1983
Transport reversal for model reduction of hyperbolic partial differential equations. Zbl 1398.65084
Rim, Donsub; Moe, Scott; LeVeque, Randall J.
16
2018
Moving-mesh methods for one-dimensional hyperbolic problems using CLAWPACK. Zbl 1035.65094
Fazio, R.; LeVeque, R. J.
14
2003
On least squares exponential sum approximation with positive coefficients. Zbl 0424.65002
Evans, John W.; Gragg, William B.; LeVeque, Randall J.
14
1980
Stability of Godunov’s method for a class of 2\(\times 2\) systems of conservation laws. Zbl 0561.65067
LeVeque, Randall J.; Temple, Blake
13
1985
On the interaction of nearly equal solitons in the KdV equation. Zbl 0637.35078
LeVeque, Randall J.
13
1987
High-resolution finite volume methods for dusty gas jets and plumes. Zbl 1123.76042
Pelanti, Marica; Leveque, Randall J.
13
2006
Finite volume methods for nonlinear elasticity in heterogeneous media. Zbl 1024.74044
LeVeque, Randall J.
12
2002
Analysis of the SOR iteration for the 9-point Laplacian. Zbl 0662.65090
Adams, Loyce M.; LeVeque, Randall J.; Young, David M.
12
1988
High-resolution finite volume modeling of wave propagation in orthotropic poroelastic media. Zbl 1342.74173
Lemoine, Grady I.; Ou, M. Yvonne; LeVeque, Randall J.
12
2013
Updating formulae and a pairwise algorithm for computing sample variances. Zbl 0491.65071
Chan, T. F.; Golub, Gene H.; LeVeque, Randall J.
10
1982
A well-balanced path-integral f-wave method for hyperbolic problems with source terms. Zbl 1221.65233
LeVeque, Randall J.
9
2011
On the uniform power-boundedness of a family of matrices and the applications to one-leg and linear multistep methods. Zbl 0526.65051
Dahlquist, Germund; Huang, Mingyou; LeVeque, Randall
9
1983
Simplified multi-dimensional flux limiter methods. Zbl 0801.76069
LeVeque, Randall J.
9
1993
Logically rectangular finite volume methods with adaptive refinement on the sphere. Zbl 1192.76028
Berger, Marsha J.; Calhoun, Donna A.; Helzel, Christiane; LeVeque, Randall J.
9
2009
Numerically stable methods for updating regressions. Zbl 0398.62058
Gragg, W. B.; LeVeque, Randall J.; Trangenstein, J. A.
8
1979
Convergence of a large time step generalization of Godunov’s method for conservation laws. Zbl 0592.65057
LeVeque, Randall J.
8
1984
Intermediate boundary conditions for time-split methods applied to hyperbolic partial differential equations. Zbl 0596.65062
LeVeque, Randall J.
8
1986
Cartesian grid methods for fluid flow in complex geometries. Zbl 1170.92315
LeVeque, Randall J.; Calhoun, Donna
8
2001
Two-layer shallow water system and its applications. Zbl 1189.35230
Kim, Jihwan; LeVeque, Randall J.
7
2009
Nonlinear conservation laws and finite volume methods. Zbl 0931.76052
LeVeque, Randall J.
6
1998
Extensions and uses of the variable projection algorithm for solving nonlinear least squares problems. Zbl 0448.65039
Golub, Gene H.; LeVeque, Randall J.
6
1979
Solution of a two-dimensional cochlea model with fluid viscosity. Zbl 0647.92011
LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D.
6
1988
WENOCLAW: A higher order wave propagation method. Zbl 1138.65084
Ketcheson, D. I.; LeVeque, R. J.
6
2008
Numerical methods for interface coupling of compressible and almost incompressible media. Zbl 1459.65214
Del Razo, M. J.; LeVeque, R. J.
6
2017
CLAWPACK – a software package for solving multi-dimensional conservation laws. Zbl 0918.35003
LeVeque, Randall J.
5
1996
Shock dynamics in layered periodic media. Zbl 1273.35186
Ketcheson, David I.; LeVeque, Randall J.
5
2012
Solution of a two-dimensional cochlea model using transform techniques. Zbl 0576.76130
LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D.
5
1985
Grid alignment effects and rotated methods for computing complex flows in astrophysics. Zbl 0800.76347
LeVeque, R. J.; Walder, R.
5
1992
Erratum: The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0834.65099
LeVeque, Randall J.; Li, Zhilin
4
1995
Computational models of material interfaces for the study of extracorporeal shock wave therapy. Zbl 1278.92018
Fagnan, Kirsten; LeVeque, Randall J.; Matula, Thomas J.
4
2013
An accuracy study of mesh refinement on mapped grids. Zbl 1246.76112
Calhoun, D.; LeVeque, R. J.
4
2005
Correction to the article “A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources” by Vaughan et al. Zbl 1175.65134
Beale, J. Thomas; Chopp, David L.; Leveque, Randall J.; Li, Zhilin
4
2008
Crack jump conditions for elliptic problems. Zbl 0958.74051
Wiegmann, A.; Li, Z.; LeVeque, R. J.
4
1999
Fourier analysis of the SOR iteration. Zbl 0648.65028
LeVeque, Randall J.; Trefethen, Lloyd N.
4
1988
High-resolution methods and adaptive refinement for tsunami propagation and inundation. Zbl 1388.86010
George, D. L.; LeVeque, R. J.
4
2008
CLAWPACK and AMRCLAW – software for high-resolution Godunov methods. Zbl 0939.76571
LeVeque, Randall J.
3
1998
Universality in the run-up of shock waves to the surface of a star. Zbl 1241.76314
Gundlach, C.; Leveque, R. J.
3
2011
Cartesian meshes and adaptive mesh refinement for hyperbolic partial differential equations. Zbl 0825.76502
Berger, Marsha; LeVeque, Randall
3
1991
Computational study of shock waves propagating through air-plastic-water interfaces. Zbl 1382.76182
Del Razo, Mauricio J.; LeVeque, Randall J.
3
2016
Computational and in vitro studies of blast-induced blood-brain barrier disruption. Zbl 1400.92177
del Razo, M. J.; Morofuji, Y.; Meabon, J. S.; Huber, B. R.; Peskind, E. R.; Banks, W. A.; Mourad, P. D.; LeVeque, R. J.; Cook, D. G.
2
2016
A linear hyperbolic system with stiff source terms. Zbl 0921.35086
LeVeque, Randall J.; Wang, Jinghua
2
1993
High-resolution finite volume methods for acoustics in a rapidly-varying heterogeneous medium. Zbl 0973.76578
Fogarty, Tiernan; LeVeque, Randall J.
2
1998
Wave propagation software, computational science, and reproducible research. Zbl 1100.65068
LeVeque, Randall J.
2
2006
Phase plane behavior of solitary waves in nonlinear layered media. Zbl 1134.74379
LeVeque, Randall J.; Yong, Darryl H.
2
2003
A finite volume grid for solving hyperbolic problems on the sphere. Zbl 1138.65066
Calhoun, D.; Helzel, C.; LeVeque, R. J.
2
2008
Riemann problems and Jupyter solutions. Zbl 07218592
Ketcheson, David I.; LeVeque, Randall J.; del Razo, Mauricio J.
1
2020
TVD schemes in one and two space dimensions. Zbl 0595.76007
LeVeque, Randall J.; Goodman, Jonathan B.
1
1985
Riemann problems and Jupyter solutions. Zbl 07218592
Ketcheson, David I.; LeVeque, Randall J.; del Razo, Mauricio J.
1
2020
Transport reversal for model reduction of hyperbolic partial differential equations. Zbl 1398.65084
Rim, Donsub; Moe, Scott; LeVeque, Randall J.
16
2018
Numerical methods for interface coupling of compressible and almost incompressible media. Zbl 1459.65214
Del Razo, M. J.; LeVeque, R. J.
6
2017
Computational study of shock waves propagating through air-plastic-water interfaces. Zbl 1382.76182
Del Razo, Mauricio J.; LeVeque, Randall J.
3
2016
Computational and in vitro studies of blast-induced blood-brain barrier disruption. Zbl 1400.92177
del Razo, M. J.; Morofuji, Y.; Meabon, J. S.; Huber, B. R.; Peskind, E. R.; Banks, W. A.; Mourad, P. D.; LeVeque, R. J.; Cook, D. G.
2
2016
High-order wave propagation algorithms for hyperbolic systems. Zbl 1264.65151
Ketcheson, David I.; Parsani, Matteo; LeVeque, Randall J.
21
2013
High-resolution finite volume modeling of wave propagation in orthotropic poroelastic media. Zbl 1342.74173
Lemoine, Grady I.; Ou, M. Yvonne; LeVeque, Randall J.
12
2013
Computational models of material interfaces for the study of extracorporeal shock wave therapy. Zbl 1278.92018
Fagnan, Kirsten; LeVeque, Randall J.; Matula, Thomas J.
4
2013
Shock dynamics in layered periodic media. Zbl 1273.35186
Ketcheson, David I.; LeVeque, Randall J.
5
2012
Tsunami modelling with adaptively refined finite volume methods. Zbl 1426.76394
LeVeque, Randall J.; George, David L.; Berger, Marsha J.
23
2011
A well-balanced path-integral f-wave method for hyperbolic problems with source terms. Zbl 1221.65233
LeVeque, Randall J.
9
2011
Universality in the run-up of shock waves to the surface of a star. Zbl 1241.76314
Gundlach, C.; Leveque, R. J.
3
2011
Logically rectangular finite volume methods with adaptive refinement on the sphere. Zbl 1192.76028
Berger, Marsha J.; Calhoun, Donna A.; Helzel, Christiane; LeVeque, Randall J.
9
2009
Two-layer shallow water system and its applications. Zbl 1189.35230
Kim, Jihwan; LeVeque, Randall J.
7
2009
Logically rectangular grids and finite volume methods for PDEs in circular and spherical domains. Zbl 1155.65061
Calhoun, Donna A.; Helzel, Christiane; LeVeque, Randall J.
31
2008
WENOCLAW: A higher order wave propagation method. Zbl 1138.65084
Ketcheson, D. I.; LeVeque, R. J.
6
2008
Correction to the article “A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources” by Vaughan et al. Zbl 1175.65134
Beale, J. Thomas; Chopp, David L.; Leveque, Randall J.; Li, Zhilin
4
2008
High-resolution methods and adaptive refinement for tsunami propagation and inundation. Zbl 1388.86010
George, D. L.; LeVeque, R. J.
4
2008
A finite volume grid for solving hyperbolic problems on the sphere. Zbl 1138.65066
Calhoun, D.; Helzel, C.; LeVeque, R. J.
2
2008
Finite difference methods for ordinary and partial differential equations. Steady-state and time-dependent problems. Zbl 1127.65080
LeVeque, Randall J.
289
2007
High-resolution finite volume methods for dusty gas jets and plumes. Zbl 1123.76042
Pelanti, Marica; Leveque, Randall J.
13
2006
Wave propagation software, computational science, and reproducible research. Zbl 1100.65068
LeVeque, Randall J.
2
2006
A high-resolution rotated grid method for conservation laws with embedded geometries. Zbl 1074.35071
Helzel, Christiane; Berger, M. J.; LeVeque, R. J.
25
2005
An accuracy study of mesh refinement on mapped grids. Zbl 1246.76112
Calhoun, D.; LeVeque, R. J.
4
2005
The dynamics of pressureless dust clouds and delta waves. Zbl 1079.76074
LeVeque, Randall J.
25
2004
A wave propagation algorithm for hyperbolic systems on curved manifolds. Zbl 1126.76350
Rossmanith, James A.; Bale, Derek S.; LeVeque, Randall J.
21
2004
An immersed interface method for incompressible Navier–Stokes equations. Zbl 1163.65322
Lee, Long; LeVeque, Randall J.
143
2003
H-box methods for the approximation of hyperbolic conservation laws on irregular grids. Zbl 1066.65082
Berger, Marsha J.; Helzel, Christiane; LeVeque, Randall J.
37
2003
Solitary waves in layered nonlinear media. Zbl 1075.74047
LeVeque, Randall J.; Yong, Darryl H.
22
2003
Moving-mesh methods for one-dimensional hyperbolic problems using CLAWPACK. Zbl 1035.65094
Fazio, R.; LeVeque, R. J.
14
2003
Phase plane behavior of solitary waves in nonlinear layered media. Zbl 1134.74379
LeVeque, Randall J.; Yong, Darryl H.
2
2003
Finite volume methods for hyperbolic problems. Zbl 1010.65040
LeVeque, Randall J.
2002
A wave propagation method for conservation laws and balance laws with spatially varying flux functions. Zbl 1034.65068
Bale, Derek S.; LeVeque, Randall J.; Mitran, Sorin; Rossmanith, James A.
84
2002
Finite volume methods for nonlinear elasticity in heterogeneous media. Zbl 1024.74044
LeVeque, Randall J.
12
2002
A class of approximate Riemann solvers and their relation to relaxation schemes. Zbl 0988.65072
LeVeque, Randall J.; Pelanti, Marica
35
2001
Cartesian grid methods for fluid flow in complex geometries. Zbl 1170.92315
LeVeque, Randall J.; Calhoun, Donna
8
2001
Fractional step methods applied to a chemotaxis model. Zbl 1002.92003
Tyson, Rebecca; Stern, L. G.; LeVeque, Randall J.
67
2000
A wave propagation method for three-dimensional hyperbolic conservation laws. Zbl 0967.65095
Langseth, Jan Olav; LeVeque, Randall J.
39
2000
A modified fractional step method for the accurate approximation of detonation waves. Zbl 0983.65105
Helzel, Christiane; LeVeque, Randall J.; Warnecke, Gerald
30
2000
A Cartesian grid finite-volume method for the advection-diffusion equation in irregular geometries. Zbl 0952.65075
Calhoun, Donna; LeVeque, Randall J.
26
2000
Wave propagation methods for conservation laws with source terms. Zbl 0927.35062
LeVeque, Randall J.; Bale, Derek S.
35
1999
Crack jump conditions for elliptic problems. Zbl 0958.74051
Wiegmann, A.; Li, Z.; LeVeque, R. J.
4
1999
Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm. Zbl 0931.76059
LeVeque, Randall J.
283
1998
Adaptive mesh refinement using wave-propagation algorithms for hyperbolic systems. Zbl 0921.65070
Berger, Marsha J.; LeVeque, Randall J.
70
1998
Nonlinear conservation laws and finite volume methods. Zbl 0931.76052
LeVeque, Randall J.
6
1998
CLAWPACK and AMRCLAW – software for high-resolution Godunov methods. Zbl 0939.76571
LeVeque, Randall J.
3
1998
High-resolution finite volume methods for acoustics in a rapidly-varying heterogeneous medium. Zbl 0973.76578
Fogarty, Tiernan; LeVeque, Randall J.
2
1998
Immersed interface methods for Stokes flow with elastic boundaries or surface tension. Zbl 0879.76061
LeVeque, Randall J.; Li, Zhilin
198
1997
Wave propagation algorithms for multidimensional hyperbolic systems. Zbl 0872.76075
LeVeque, Randall J.
107
1997
The immersed interface method for acoustic wave equations with discontinuous coefficients. Zbl 0915.76084
Zhang, Chaoming; LeVeque, Randall J.
44
1997
High-resolution conservative algorithms for advection in incompressible flow. Zbl 0852.76057
LeVeque, Randall J.
257
1996
Two-dimensional front tracking based on high resolution wave propagation methods. Zbl 0849.65063
LeVeque, Randall J.; Shyue, Keh-Ming
37
1996
CLAWPACK – a software package for solving multi-dimensional conservation laws. Zbl 0918.35003
LeVeque, Randall J.
5
1996
One-dimensional front tracking based on high resolution wave propagation methods. Zbl 0824.65094
LeVeque, Randall J.; Shyue, Keh-Ming
23
1995
Erratum: The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0834.65099
LeVeque, Randall J.; Li, Zhilin
4
1995
The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0811.65083
LeVeque, Randall J.; Li, Zhilin
572
1994
Simplified multi-dimensional flux limiter methods. Zbl 0801.76069
LeVeque, Randall J.
9
1993
A linear hyperbolic system with stiff source terms. Zbl 0921.35086
LeVeque, Randall J.; Wang, Jinghua
2
1993
Numerical methods for conservation laws. 2nd ed. Zbl 0847.65053
LeVeque, Randall J.
565
1992
Analysis of a one-dimensional model for the immersed boundary method. Zbl 0762.65052
Beyer, R. P.; LeVeque, R. J.
82
1992
Grid alignment effects and rotated methods for computing complex flows in astrophysics. Zbl 0800.76347
LeVeque, R. J.; Walder, R.
5
1992
Cartesian meshes and adaptive mesh refinement for hyperbolic partial differential equations. Zbl 0825.76502
Berger, Marsha; LeVeque, Randall
3
1991
A study of numerical methods for hyperbolic conservation laws with stiff source terms. Zbl 0682.76053
LeVeque, R. J.; Yee, H. C.
230
1990
Numerical methods for conservation laws. Zbl 0723.65067
LeVeque, Randall J.
153
1990
High resolution finite volume methods on arbitrary grids via wave propagation. Zbl 0649.65050
LeVeque, Randall J.
30
1988
A geometric approach to high resolution TVD schemes. Zbl 0645.65051
Goodman, Jonathan B.; LeVeque, Randall J.
21
1988
Analysis of the SOR iteration for the 9-point Laplacian. Zbl 0662.65090
Adams, Loyce M.; LeVeque, Randall J.; Young, David M.
12
1988
Solution of a two-dimensional cochlea model with fluid viscosity. Zbl 0647.92011
LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D.
6
1988
Fourier analysis of the SOR iteration. Zbl 0648.65028
LeVeque, Randall J.; Trefethen, Lloyd N.
4
1988
On the interaction of nearly equal solitons in the KdV equation. Zbl 0637.35078
LeVeque, Randall J.
13
1987
Solitary-wave interactions in elastic rods. Zbl 0606.73028
Clarkson, Peter A.; LeVeque, Randall J.; Saxton, Ralph
62
1986
Intermediate boundary conditions for time-split methods applied to hyperbolic partial differential equations. Zbl 0596.65062
LeVeque, Randall J.
8
1986
On the accuracy of stable schemes for 2D scalar conservation laws. Zbl 0592.65058
Goodman, Jonathan B.; LeVeque, Randall J.
50
1985
A large time step generalization of Godunov’s method for systems of conservation laws. Zbl 0584.65058
LeVeque, Randall J.
28
1985
Stability of Godunov’s method for a class of 2\(\times 2\) systems of conservation laws. Zbl 0561.65067
LeVeque, Randall J.; Temple, Blake
13
1985
Solution of a two-dimensional cochlea model using transform techniques. Zbl 0576.76130
LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D.
5
1985
TVD schemes in one and two space dimensions. Zbl 0595.76007
LeVeque, Randall J.; Goodman, Jonathan B.
1
1985
On the resolvent condition in the Kreiss matrix theorem. Zbl 0559.15018
LeVeque, Randall J.; Trefethen, Lloyd N.
37
1984
Convergence of a large time step generalization of Godunov’s method for conservation laws. Zbl 0592.65057
LeVeque, Randall J.
8
1984
Numerical methods based on additive splittings for hyperbolic partial differential equations. Zbl 0516.65075
LeVeque, Randall J.; Oliger, Joseph
24
1983
Algorithms for computing the sample variance: Analysis and recommendations. Zbl 0521.65098
Chan, Tony F.; Golub, Gene H.; LeVeque, Randall J.
18
1983
On the uniform power-boundedness of a family of matrices and the applications to one-leg and linear multistep methods. Zbl 0526.65051
Dahlquist, Germund; Huang, Mingyou; LeVeque, Randall
9
1983
Large time step shock-capturing techniques for scalar conservation laws. Zbl 0493.65040
LeVeque, Randall J.
19
1982
Updating formulae and a pairwise algorithm for computing sample variances. Zbl 0491.65071
Chan, T. F.; Golub, Gene H.; LeVeque, Randall J.
10
1982
On least squares exponential sum approximation with positive coefficients. Zbl 0424.65002
Evans, John W.; Gragg, William B.; LeVeque, Randall J.
14
1980
Numerically stable methods for updating regressions. Zbl 0398.62058
Gragg, W. B.; LeVeque, Randall J.; Trangenstein, J. A.
8
1979
Extensions and uses of the variable projection algorithm for solving nonlinear least squares problems. Zbl 0448.65039
Golub, Gene H.; LeVeque, Randall J.
6
1979
all top 5

Cited by 6,096 Authors

43 Li, Zhilin
39 Shu, Chi-Wang
36 Dumbser, Michael
33 Kurganov, Alexander
24 Kuzmin, Dmitri
23 Jin, Shi
21 LeVeque, Randall J.
20 Garcia-Navarro, Pilar
20 Mishra, Siddhartha
20 Parés Madroñal, Carlos
20 Toro, Eleuterio F.
20 Xing, Yulong
19 Wei, Guowei
18 Dawson, Clint N.
18 Xiao, Feng
17 Berthon, Christophe
17 Gibou, Frédéric
17 Lombard, Bruno
17 Wang, Liqun
16 Hou, Songming
16 Khoo, Boo Cheong
16 Li, Gang
16 Seaïd, Mohammed
16 Zhao, Shan
15 Herty, Michael Matthias
14 Balsara, Dinshaw S.
14 Chertock, Alina E.
14 Lai, Mingchih
13 Castro, Manuel J.
13 Klein, Rupert
13 Li, Ruo
13 Lin, Tao
13 Lukáčová-Medvid’ová, Mária
13 Murillo, Javier
13 Nave, Jean-Christophe
13 Shi, Liwei
13 Shyue, Keh-Ming
12 Benkhaldoun, Fayssal
12 Breuß, Michael
12 Göttlich, Simone
12 Griffith, Boyce E.
12 Ketcheson, David I.
12 Spijker, Marc N.
12 Vabishchevich, Pëtr Nikolaevich
11 Abgrall, Rémi
11 Clain, Stéphane Louis
11 Fernández-Nieto, Enrique Domingo
11 Karlsen, Kenneth Hvistendahl
11 Khalique, Chaudry Masood
11 Kubatko, Ethan J.
11 LeFloch, Philippe Gerard
11 Lin, Yanping
11 Noelle, Sebastian
11 Risebro, Nils Henrik
10 Epshteyn, Yekaterina
10 Fogelson, Aaron L.
10 Klingenberg, Christian
10 Loubère, Raphaël
10 Mao, Dekang
10 Perthame, Benoît
10 Peskin, Charles S.
10 Puppo, Gabriella
10 Ricchiuto, Mario
10 Rider, William J.
10 Xu, Kun
10 Zhao, Hongkai
9 Banda, Mapundi Kondwani
9 Bouchut, François
9 Črnjarić-Žic, Nelida
9 D’Alessio, Sergio J. D.
9 Denaro, Filippo Maria
9 Fedkiw, Ronald P.
9 Lorenzi, Tommaso
9 Pareschi, Lorenzo
9 Pelanti, Marica
9 Qiu, Jianxian
9 Tan, Zhijun
9 Tornberg, Anna-Karin
9 Towers, John D.
9 Vázquez-Cendón, María Elena
9 Vulkov, Lubin G.
9 Warnecke, Gerald G.
9 Westerink, Joannes J.
9 Winters, Andrew R.
9 Xie, Bin
9 Yee, Helen C.
9 Zhang, Zhiyue
9 Zou, Qingsong
8 Adams, Nikolaus A.
8 Badia, Santiago
8 Berezovski, Arkadi
8 Bonaventura, Luca
8 Borthwick, Alistair G. L.
8 Chiavassa, Guillaume
8 Colella, Phillip
8 De Luna, Manuel Quezada
8 De Sterck, Hans
8 Dehghan Takht Fooladi, Mehdi
8 Delis, Argiris I.
8 Deng, Xi
...and 5,996 more Authors
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Cited in 339 Serials

1,073 Journal of Computational Physics
226 Computers and Fluids
201 Journal of Scientific Computing
171 Computer Methods in Applied Mechanics and Engineering
150 Journal of Computational and Applied Mathematics
125 International Journal for Numerical Methods in Fluids
117 Applied Numerical Mathematics
114 Applied Mathematics and Computation
101 Computers & Mathematics with Applications
79 SIAM Journal on Scientific Computing
63 Mathematics of Computation
56 Communications in Computational Physics
52 Journal of Fluid Mechanics
45 International Journal for Numerical Methods in Engineering
45 Numerical Methods for Partial Differential Equations
44 Applied Mathematical Modelling
41 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
36 SIAM Journal on Numerical Analysis
34 Numerische Mathematik
30 Wave Motion
29 Mathematics and Computers in Simulation
29 Computational Geosciences
25 Computer Physics Communications
24 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
22 Mathematical and Computer Modelling
20 Journal of Mathematical Biology
20 Journal of Differential Equations
20 Physica D
20 Advances in Computational Mathematics
19 Advances in Applied Mathematics and Mechanics
18 Journal of Theoretical Biology
17 Journal of Mathematical Analysis and Applications
17 Bulletin of Mathematical Biology
17 SIAM Journal on Applied Mathematics
17 International Journal of Computational Fluid Dynamics
17 European Journal of Mechanics. B. Fluids
16 Computational Mechanics
16 Numerical Algorithms
16 Engineering Analysis with Boundary Elements
16 Mathematical Problems in Engineering
16 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
15 BIT
15 International Journal of Computer Mathematics
15 Physics of Fluids
15 Communications in Nonlinear Science and Numerical Simulation
15 Multiscale Modeling & Simulation
14 Applied Mathematics Letters
14 Journal of Hyperbolic Differential Equations
13 Mathematical Methods in the Applied Sciences
12 International Journal of Computational Methods
11 Acta Mechanica
11 Linear Algebra and its Applications
11 Computational and Applied Mathematics
10 Theoretical and Computational Fluid Dynamics
10 Networks and Heterogeneous Media
9 Journal of Engineering Mathematics
9 Mathematical Biosciences
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Archives of Computational Methods in Engineering
9 Advances in Difference Equations
9 Mathematical Biosciences and Engineering
8 Applied Mathematics and Mechanics. (English Edition)
8 Journal of Applied Mathematics
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 International Journal of Numerical Analysis and Modeling
7 Archive for Rational Mechanics and Analysis
7 International Journal of Engineering Science
7 Journal of Mathematical Physics
7 Nonlinearity
7 Chaos, Solitons and Fractals
7 Quarterly of Applied Mathematics
7 Chinese Annals of Mathematics. Series B
7 Acta Applicandae Mathematicae
7 Abstract and Applied Analysis
7 Combustion Theory and Modelling
7 Acta Numerica
7 Discrete and Continuous Dynamical Systems. Series S
7 Kinetic and Related Models
7 SMAI Journal of Computational Mathematics
6 Studies in Applied Mathematics
6 SIAM Journal on Matrix Analysis and Applications
6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
6 Chaos
6 The ANZIAM Journal
6 Nonlinear Analysis. Real World Applications
6 Foundations of Computational Mathematics
6 Bulletin of the Brazilian Mathematical Society. New Series
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Shock Waves
5 Computational Mathematics and Mathematical Physics
5 SIAM Journal on Mathematical Analysis
5 Journal of Mathematical Imaging and Vision
5 International Journal of Numerical Methods for Heat & Fluid Flow
5 Discrete and Continuous Dynamical Systems
5 Computing and Visualization in Science
5 Living Reviews in Relativity
5 Discrete and Continuous Dynamical Systems. Series B
5 SIAM Journal on Applied Dynamical Systems
5 International Journal for Numerical Methods in Biomedical Engineering
4 Applicable Analysis
...and 239 more Serials
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Cited in 50 Fields

2,463 Numerical analysis (65-XX)
2,168 Fluid mechanics (76-XX)
1,536 Partial differential equations (35-XX)
354 Mechanics of deformable solids (74-XX)
287 Biology and other natural sciences (92-XX)
203 Geophysics (86-XX)
137 Classical thermodynamics, heat transfer (80-XX)
136 Statistical mechanics, structure of matter (82-XX)
95 Ordinary differential equations (34-XX)
91 Optics, electromagnetic theory (78-XX)
85 Operations research, mathematical programming (90-XX)
74 Probability theory and stochastic processes (60-XX)
63 Dynamical systems and ergodic theory (37-XX)
63 Calculus of variations and optimal control; optimization (49-XX)
59 Computer science (68-XX)
48 Systems theory; control (93-XX)
41 Statistics (62-XX)
38 Astronomy and astrophysics (85-XX)
38 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
27 Linear and multilinear algebra; matrix theory (15-XX)
26 Operator theory (47-XX)
23 Mechanics of particles and systems (70-XX)
20 Quantum theory (81-XX)
18 Approximations and expansions (41-XX)
17 Functional analysis (46-XX)
17 Information and communication theory, circuits (94-XX)
15 Relativity and gravitational theory (83-XX)
14 Integral equations (45-XX)
13 Global analysis, analysis on manifolds (58-XX)
12 Real functions (26-XX)
10 Difference and functional equations (39-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
7 Number theory (11-XX)
7 Functions of a complex variable (30-XX)
7 Differential geometry (53-XX)
4 General and overarching topics; collections (00-XX)
3 Combinatorics (05-XX)
3 Measure and integration (28-XX)
2 Convex and discrete geometry (52-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Mathematics education (97-XX)

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