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LeVeque, Randall J.

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.
Homepage: http://faculty.washington.edu/rjl/
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Publications by Year

Citations contained in zbMATH Open

87 Publications have been cited 6,368 times in 5,037 Documents Cited by Year
Finite volume methods for hyperbolic problems. Zbl 1010.65040
LeVeque, Randall J.
2002
Numerical methods for conservation laws. 2nd ed. Zbl 0847.65053
LeVeque, Randall J.
688
1992
The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0811.65083
LeVeque, Randall J.; Li, Zhilin
675
1994
Finite difference methods for ordinary and partial differential equations. Steady-state and time-dependent problems. Zbl 1127.65080
LeVeque, Randall J.
428
2007
Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm. Zbl 0931.76059
LeVeque, Randall J.
323
1998
High-resolution conservative algorithms for advection in incompressible flow. Zbl 0852.76057
LeVeque, Randall J.
304
1996
A study of numerical methods for hyperbolic conservation laws with stiff source terms. Zbl 0682.76053
LeVeque, R. J.; Yee, H. C.
241
1990
Immersed interface methods for Stokes flow with elastic boundaries or surface tension. Zbl 0879.76061
LeVeque, Randall J.; Li, Zhilin
224
1997
Numerical methods for conservation laws. Zbl 0723.65067
LeVeque, Randall J.
190
1990
An immersed interface method for incompressible Navier–Stokes equations. Zbl 1163.65322
Lee, Long; LeVeque, Randall J.
161
2003
Wave propagation algorithms for multidimensional hyperbolic systems. Zbl 0872.76075
LeVeque, Randall J.
120
1997
Analysis of a one-dimensional model for the immersed boundary method. Zbl 0762.65052
Beyer, R. P.; LeVeque, R. J.
94
1992
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.
90
2002
Adaptive mesh refinement using wave-propagation algorithms for hyperbolic systems. Zbl 0921.65070
Berger, Marsha J.; LeVeque, Randall J.
81
1998
Fractional step methods applied to a chemotaxis model. Zbl 1002.92003
Tyson, Rebecca; Stern, L. G.; LeVeque, Randall J.
78
2000
Solitary-wave interactions in elastic rods. Zbl 0606.73028
Clarkson, Peter A.; LeVeque, Randall J.; Saxton, Ralph
70
1986
On the accuracy of stable schemes for 2D scalar conservation laws. Zbl 0592.65058
Goodman, Jonathan B.; LeVeque, Randall J.
56
1985
The immersed interface method for acoustic wave equations with discontinuous coefficients. Zbl 0915.76084
Zhang, Chaoming; LeVeque, Randall J.
53
1997
H-box methods for the approximation of hyperbolic conservation laws on irregular grids. Zbl 1066.65082
Berger, Marsha J.; Helzel, Christiane; LeVeque, Randall J.
45
2003
Wave propagation methods for conservation laws with source terms. Zbl 0927.35062
LeVeque, Randall J.; Bale, Derek S.
42
1999
A wave propagation method for three-dimensional hyperbolic conservation laws. Zbl 0967.65095
Langseth, Jan Olav; LeVeque, Randall J.
41
2000
Two-dimensional front tracking based on high resolution wave propagation methods. Zbl 0849.65063
LeVeque, Randall J.; Shyue, Keh-Ming
39
1996
On the resolvent condition in the Kreiss matrix theorem. Zbl 0559.15018
LeVeque, Randall J.; Trefethen, Lloyd N.
37
1984
A class of approximate Riemann solvers and their relation to relaxation schemes. Zbl 0988.65072
LeVeque, Randall J.; Pelanti, Marica
35
2001
A modified fractional step method for the accurate approximation of detonation waves. Zbl 0983.65105
Helzel, Christiane; LeVeque, Randall J.; Warnecke, Gerald
33
2000
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.
32
2008
High resolution finite volume methods on arbitrary grids via wave propagation. Zbl 0649.65050
LeVeque, Randall J.
31
1988
A large time step generalization of Godunov’s method for systems of conservation laws. Zbl 0584.65058
LeVeque, Randall J.
31
1985
A high-resolution rotated grid method for conservation laws with embedded geometries. Zbl 1074.35071
Helzel, Christiane; Berger, M. J.; LeVeque, R. J.
30
2005
Numerical methods based on additive splittings for hyperbolic partial differential equations. Zbl 0516.65075
LeVeque, Randall J.; Oliger, Joseph
28
1983
The dynamics of pressureless dust clouds and delta waves. Zbl 1079.76074
LeVeque, Randall J.
28
2004
A Cartesian grid finite-volume method for the advection-diffusion equation in irregular geometries. Zbl 0952.65075
Calhoun, Donna; LeVeque, Randall J.
28
2000
One-dimensional front tracking based on high resolution wave propagation methods. Zbl 0824.65094
LeVeque, Randall J.; Shyue, Keh-Ming
27
1995
Transport reversal for model reduction of hyperbolic partial differential equations. Zbl 1398.65084
Rim, Donsub; Moe, Scott; LeVeque, Randall J.
27
2018
A wave propagation algorithm for hyperbolic systems on curved manifolds. Zbl 1126.76350
Rossmanith, James A.; Bale, Derek S.; LeVeque, Randall J.
27
2004
Tsunami modelling with adaptively refined finite volume methods. Zbl 1426.76394
LeVeque, Randall J.; George, David L.; Berger, Marsha J.
26
2011
A geometric approach to high resolution TVD schemes. Zbl 0645.65051
Goodman, Jonathan B.; LeVeque, Randall J.
24
1988
Solitary waves in layered nonlinear media. Zbl 1075.74047
LeVeque, Randall J.; Yong, Darryl H.
23
2003
High-order wave propagation algorithms for hyperbolic systems. Zbl 1264.65151
Ketcheson, David I.; Parsani, Matteo; LeVeque, Randall J.
23
2013
Algorithms for computing the sample variance: Analysis and recommendations. Zbl 0521.65098
Chan, Tony F.; Golub, Gene H.; LeVeque, Randall J.
22
1983
Large time step shock-capturing techniques for scalar conservation laws. Zbl 0493.65040
LeVeque, Randall J.
21
1982
High-resolution finite volume methods for dusty gas jets and plumes. Zbl 1123.76042
Pelanti, Marica; Leveque, Randall J.
17
2006
Moving-mesh methods for one-dimensional hyperbolic problems using CLAWPACK. Zbl 1035.65094
Fazio, R.; LeVeque, R. J.
16
2003
On least squares exponential sum approximation with positive coefficients. Zbl 0424.65002
Evans, John W.; Gragg, William B.; LeVeque, Randall J.
16
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
15
1985
On the interaction of nearly equal solitons in the KdV equation. Zbl 0637.35078
LeVeque, Randall J.
14
1987
High-resolution finite volume modeling of wave propagation in orthotropic poroelastic media. Zbl 1342.74173
Lemoine, Grady I.; Ou, M. Yvonne; LeVeque, Randall J.
14
2013
Finite volume methods for nonlinear elasticity in heterogeneous media. Zbl 1024.74044
LeVeque, Randall J.
13
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
A well-balanced path-integral f-wave method for hyperbolic problems with source terms. Zbl 1221.65233
LeVeque, Randall J.
12
2011
Updating formulae and a pairwise algorithm for computing sample variances. Zbl 0491.65071
Chan, T. F.; Golub, Gene H.; LeVeque, Randall J.
12
1982
Cartesian grid methods for fluid flow in complex geometries. Zbl 1170.92315
LeVeque, Randall J.; Calhoun, Donna
10
2001
Intermediate boundary conditions for time-split methods applied to hyperbolic partial differential equations. Zbl 0596.65062
LeVeque, Randall J.
10
1986
Simplified multi-dimensional flux limiter methods. Zbl 0801.76069
LeVeque, Randall J.
10
1993
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
Two-layer shallow water system and its applications. Zbl 1189.35230
Kim, Jihwan; LeVeque, Randall J.
9
2009
Convergence of a large time step generalization of Godunov’s method for conservation laws. Zbl 0592.65057
LeVeque, Randall J.
9
1984
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
WENOCLAW: A higher order wave propagation method. Zbl 1138.65084
Ketcheson, D. I.; LeVeque, R. J.
8
2008
Numerically stable methods for updating regressions. Zbl 0398.62058
Gragg, W. B.; LeVeque, Randall J.; Trangenstein, J. A.
8
1979
Numerical methods for interface coupling of compressible and almost incompressible media. Zbl 1459.65214
Del Razo, M. J.; LeVeque, R. J.
8
2017
Solution of a two-dimensional cochlea model with fluid viscosity. Zbl 0647.92011
LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D.
7
1988
Erratum: The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0834.65099
LeVeque, Randall J.; Li, Zhilin
7
1995
Nonlinear conservation laws and finite volume methods. Zbl 0931.76052
LeVeque, Randall J.
7
1998
Extensions and uses of the variable projection algorithm for solving nonlinear least squares problems. Zbl 0448.65039
Golub, Gene H.; LeVeque, Randall J.
7
1979
Shock dynamics in layered periodic media. Zbl 1273.35186
Ketcheson, David I.; LeVeque, Randall J.
6
2012
CLAWPACK – a software package for solving multi-dimensional conservation laws. Zbl 0918.35003
LeVeque, Randall J.
5
1996
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
Riemann problems and Jupyter solutions. Zbl 07218592
Ketcheson, David I.; LeVeque, Randall J.; del Razo, Mauricio J.
5
2020
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
Crack jump conditions for elliptic problems. Zbl 0958.74051
Wiegmann, A.; Li, Z.; LeVeque, R. J.
4
1999
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
An accuracy study of mesh refinement on mapped grids. Zbl 1246.76112
Calhoun, D.; LeVeque, R. J.
4
2005
Universality in the run-up of shock waves to the surface of a star. Zbl 1241.76314
Gundlach, C.; Leveque, R. J.
4
2011
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
Cartesian meshes and adaptive mesh refinement for hyperbolic partial differential equations. Zbl 0825.76502
Berger, Marsha; LeVeque, Randall
3
1991
A linear hyperbolic system with stiff source terms. Zbl 0921.35086
LeVeque, Randall J.; Wang, Jinghua
3
1993
CLAWPACK and AMRCLAW – software for high-resolution Godunov methods. Zbl 0939.76571
LeVeque, Randall J.
3
1998
Phase plane behavior of solitary waves in nonlinear layered media. Zbl 1134.74379
LeVeque, Randall J.; Yong, Darryl H.
3
2003
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.
3
2016
A finite volume grid for solving hyperbolic problems on the sphere. Zbl 1138.65066
Calhoun, D.; Helzel, C.; LeVeque, R. J.
2
2008
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
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.
5
2020
Transport reversal for model reduction of hyperbolic partial differential equations. Zbl 1398.65084
Rim, Donsub; Moe, Scott; LeVeque, Randall J.
27
2018
Numerical methods for interface coupling of compressible and almost incompressible media. Zbl 1459.65214
Del Razo, M. J.; LeVeque, R. J.
8
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.
3
2016
High-order wave propagation algorithms for hyperbolic systems. Zbl 1264.65151
Ketcheson, David I.; Parsani, Matteo; LeVeque, Randall J.
23
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.
14
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.
6
2012
Tsunami modelling with adaptively refined finite volume methods. Zbl 1426.76394
LeVeque, Randall J.; George, David L.; Berger, Marsha J.
26
2011
A well-balanced path-integral f-wave method for hyperbolic problems with source terms. Zbl 1221.65233
LeVeque, Randall J.
12
2011
Universality in the run-up of shock waves to the surface of a star. Zbl 1241.76314
Gundlach, C.; Leveque, R. J.
4
2011
Two-layer shallow water system and its applications. Zbl 1189.35230
Kim, Jihwan; LeVeque, Randall J.
9
2009
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
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.
32
2008
WENOCLAW: A higher order wave propagation method. Zbl 1138.65084
Ketcheson, D. I.; LeVeque, R. J.
8
2008
High-resolution methods and adaptive refinement for tsunami propagation and inundation. Zbl 1388.86010
George, D. L.; LeVeque, R. J.
4
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
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.
428
2007
High-resolution finite volume methods for dusty gas jets and plumes. Zbl 1123.76042
Pelanti, Marica; Leveque, Randall J.
17
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.
30
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.
28
2004
A wave propagation algorithm for hyperbolic systems on curved manifolds. Zbl 1126.76350
Rossmanith, James A.; Bale, Derek S.; LeVeque, Randall J.
27
2004
An immersed interface method for incompressible Navier–Stokes equations. Zbl 1163.65322
Lee, Long; LeVeque, Randall J.
161
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.
45
2003
Solitary waves in layered nonlinear media. Zbl 1075.74047
LeVeque, Randall J.; Yong, Darryl H.
23
2003
Moving-mesh methods for one-dimensional hyperbolic problems using CLAWPACK. Zbl 1035.65094
Fazio, R.; LeVeque, R. J.
16
2003
Phase plane behavior of solitary waves in nonlinear layered media. Zbl 1134.74379
LeVeque, Randall J.; Yong, Darryl H.
3
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.
90
2002
Finite volume methods for nonlinear elasticity in heterogeneous media. Zbl 1024.74044
LeVeque, Randall J.
13
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
10
2001
Fractional step methods applied to a chemotaxis model. Zbl 1002.92003
Tyson, Rebecca; Stern, L. G.; LeVeque, Randall J.
78
2000
A wave propagation method for three-dimensional hyperbolic conservation laws. Zbl 0967.65095
Langseth, Jan Olav; LeVeque, Randall J.
41
2000
A modified fractional step method for the accurate approximation of detonation waves. Zbl 0983.65105
Helzel, Christiane; LeVeque, Randall J.; Warnecke, Gerald
33
2000
A Cartesian grid finite-volume method for the advection-diffusion equation in irregular geometries. Zbl 0952.65075
Calhoun, Donna; LeVeque, Randall J.
28
2000
Wave propagation methods for conservation laws with source terms. Zbl 0927.35062
LeVeque, Randall J.; Bale, Derek S.
42
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.
323
1998
Adaptive mesh refinement using wave-propagation algorithms for hyperbolic systems. Zbl 0921.65070
Berger, Marsha J.; LeVeque, Randall J.
81
1998
Nonlinear conservation laws and finite volume methods. Zbl 0931.76052
LeVeque, Randall J.
7
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
224
1997
Wave propagation algorithms for multidimensional hyperbolic systems. Zbl 0872.76075
LeVeque, Randall J.
120
1997
The immersed interface method for acoustic wave equations with discontinuous coefficients. Zbl 0915.76084
Zhang, Chaoming; LeVeque, Randall J.
53
1997
High-resolution conservative algorithms for advection in incompressible flow. Zbl 0852.76057
LeVeque, Randall J.
304
1996
Two-dimensional front tracking based on high resolution wave propagation methods. Zbl 0849.65063
LeVeque, Randall J.; Shyue, Keh-Ming
39
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
27
1995
Erratum: The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0834.65099
LeVeque, Randall J.; Li, Zhilin
7
1995
The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0811.65083
LeVeque, Randall J.; Li, Zhilin
675
1994
Simplified multi-dimensional flux limiter methods. Zbl 0801.76069
LeVeque, Randall J.
10
1993
A linear hyperbolic system with stiff source terms. Zbl 0921.35086
LeVeque, Randall J.; Wang, Jinghua
3
1993
Numerical methods for conservation laws. 2nd ed. Zbl 0847.65053
LeVeque, Randall J.
688
1992
Analysis of a one-dimensional model for the immersed boundary method. Zbl 0762.65052
Beyer, R. P.; LeVeque, R. J.
94
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.
241
1990
Numerical methods for conservation laws. Zbl 0723.65067
LeVeque, Randall J.
190
1990
High resolution finite volume methods on arbitrary grids via wave propagation. Zbl 0649.65050
LeVeque, Randall J.
31
1988
A geometric approach to high resolution TVD schemes. Zbl 0645.65051
Goodman, Jonathan B.; LeVeque, Randall J.
24
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.
7
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.
14
1987
Solitary-wave interactions in elastic rods. Zbl 0606.73028
Clarkson, Peter A.; LeVeque, Randall J.; Saxton, Ralph
70
1986
Intermediate boundary conditions for time-split methods applied to hyperbolic partial differential equations. Zbl 0596.65062
LeVeque, Randall J.
10
1986
On the accuracy of stable schemes for 2D scalar conservation laws. Zbl 0592.65058
Goodman, Jonathan B.; LeVeque, Randall J.
56
1985
A large time step generalization of Godunov’s method for systems of conservation laws. Zbl 0584.65058
LeVeque, Randall J.
31
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
15
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.
9
1984
Numerical methods based on additive splittings for hyperbolic partial differential equations. Zbl 0516.65075
LeVeque, Randall J.; Oliger, Joseph
28
1983
Algorithms for computing the sample variance: Analysis and recommendations. Zbl 0521.65098
Chan, Tony F.; Golub, Gene H.; LeVeque, Randall J.
22
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.
21
1982
Updating formulae and a pairwise algorithm for computing sample variances. Zbl 0491.65071
Chan, T. F.; Golub, Gene H.; LeVeque, Randall J.
12
1982
On least squares exponential sum approximation with positive coefficients. Zbl 0424.65002
Evans, John W.; Gragg, William B.; LeVeque, Randall J.
16
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.
7
1979
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Cited by 7,370 Authors

48 Shu, Chi-Wang
45 Kurganov, Alexander
45 Li, Zhilin
42 Dumbser, Michael
29 Kuzmin, Dmitri
26 Jin, Shi
24 Garcia-Navarro, Pilar
24 Mishra, Siddhartha
23 Parés Madroñal, Carlos
23 Xing, Yulong
22 Toro, Eleuterio Francisco
22 Xiao, Feng
21 Berthon, Christophe
21 Dawson, Clint N.
21 LeVeque, Randall J.
20 Lombard, Bruno
19 Herty, Michael Matthias
19 Seaïd, Mohammed
19 Wang, Liqun
19 Wei, Guowei
18 Chertock, Alina E.
18 Gibou, Frédéric
18 Lai, Mingchih
18 Li, Gang
18 Lukáčová-Medviďová, Mária
18 Zhao, Shan
16 Hou, Songming
16 Khoo, Boo Cheong
16 Li, Ruo
16 Vabishchevich, Pëtr Nikolaevich
15 Benkhaldoun, Fayssal
15 Göttlich, Simone
15 Ketcheson, David I.
15 Khalique, Chaudry Masood
15 Lin, Tao
15 Ying, Wenjun
14 Balsara, Dinshaw S.
14 Castro, Manuel J.
14 Murillo, Javier
14 Russo, Giovanni
14 Shyue, Keh-Ming
13 Abgrall, Rémi
13 Breuß, Michael
13 Griffith, Boyce E.
13 Klein, Rupert
13 Liu, Jun
13 Nave, Jean-Christophe
13 Ricchiuto, Mario
13 Risebro, Nils Henrik
13 Shi, Liwei
13 Towers, John D.
13 Xie, Bin
13 Zhang, Mengping
13 Zou, Qingsong
12 Adams, Nikolaus A.
12 Bonaventura, Luca
12 Clain, Stéphane Louis
12 Deng, Xi
12 Després, Bruno
12 Gao, Zhen
12 Karlsen, Kenneth Hvistendahl
12 Loubère, Raphaël
12 Noelle, Sebastian
12 Qiu, Jingmei
12 Spijker, Marc N.
12 Zhang, Zhiyue
11 De Luna, Manuel Quezada
11 Epshteyn, Yekaterina
11 Fernández-Nieto, Enrique Domingo
11 Kubatko, Ethan J.
11 LeFloch, Philippe Gerard
11 Lin, Yanping
11 Mao, Dekang
11 Puppo, Gabriella
11 Tan, Zhijun
11 Vázquez-Cendón, María Elena
11 Wang, Hong
11 Winters, Andrew R.
11 Xu, Kun
10 Badia, Santiago
10 Banda, Mapundi Kondwani
10 Busto, Saray
10 Colombo, Rinaldo M.
10 D’Alessio, Sergio J. D.
10 Dehghan Takht Fooladi, Mehdi
10 Denaro, Filippo Maria
10 Fedkiw, Ronald P.
10 Fogelson, Aaron L.
10 Gavrilyuk, Sergey L.
10 Helzel, Christiane
10 Hu, Guanghui
10 Klingenberg, Christian
10 Pareschi, Lorenzo
10 Pelanti, Marica
10 Perthame, Benoît
10 Peskin, Charles S.
10 Qiu, Jianxian
10 Rider, William J.
10 Seibold, Benjamin
10 Semplice, Matteo
...and 7,270 more Authors
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Cited in 389 Serials

1,247 Journal of Computational Physics
246 Journal of Scientific Computing
245 Computers and Fluids
205 Computer Methods in Applied Mechanics and Engineering
171 Journal of Computational and Applied Mathematics
133 Applied Mathematics and Computation
131 Applied Numerical Mathematics
125 Computers & Mathematics with Applications
125 International Journal for Numerical Methods in Fluids
100 SIAM Journal on Scientific Computing
67 Mathematics of Computation
67 Communications in Computational Physics
58 Journal of Fluid Mechanics
58 Numerical Methods for Partial Differential Equations
53 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
51 International Journal for Numerical Methods in Engineering
51 Applied Mathematical Modelling
47 Computer Physics Communications
39 SIAM Journal on Numerical Analysis
38 Mathematics and Computers in Simulation
35 Numerische Mathematik
34 Wave Motion
29 Computational Geosciences
27 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
26 Advances in Applied Mathematics and Mechanics
25 Physica D
24 Journal of Differential Equations
23 Mathematical and Computer Modelling
23 Numerical Algorithms
23 Computational and Applied Mathematics
23 Advances in Computational Mathematics
22 Mathematical Methods in the Applied Sciences
22 Bulletin of Mathematical Biology
22 European Journal of Mechanics. B. Fluids
22 Communications in Nonlinear Science and Numerical Simulation
21 Journal of Mathematical Biology
20 International Journal of Computational Fluid Dynamics
19 SIAM Journal on Applied Mathematics
18 BIT
18 International Journal of Computer Mathematics
18 Journal of Theoretical Biology
17 Journal of Mathematical Analysis and Applications
17 Computational Mechanics
17 Applied Mathematics Letters
17 Engineering Analysis with Boundary Elements
17 Multiscale Modeling & Simulation
16 Mathematical Problems in Engineering
16 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
15 Physics of Fluids
15 International Journal of Computational Methods
15 Journal of Hyperbolic Differential Equations
15 Communications on Applied Mathematics and Computation
14 Mathematical Biosciences and Engineering
14 Networks and Heterogeneous Media
13 Acta Mechanica
13 Journal of Engineering Mathematics
13 Linear Algebra and its Applications
13 International Journal of Numerical Analysis and Modeling
12 Archives of Computational Methods in Engineering
11 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
11 Journal of Applied Mathematics
10 Mathematical Biosciences
10 Theoretical and Computational Fluid Dynamics
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Nonlinearity
9 Quarterly of Applied Mathematics
9 Computational Mathematics and Mathematical Physics
9 Acta Numerica
9 Advances in Difference Equations
8 Archive for Rational Mechanics and Analysis
8 Chaos, Solitons and Fractals
8 Studies in Applied Mathematics
8 Applied Mathematics and Mechanics. (English Edition)
8 Chinese Annals of Mathematics. Series B
8 Acta Applicandae Mathematicae
8 Nonlinear Analysis. Real World Applications
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Kinetic and Related Models
8 AMM. Applied Mathematics and Mechanics. (English Edition)
8 SMAI Journal of Computational Mathematics
7 International Journal of Engineering Science
7 Journal of Mathematical Physics
7 SIAM Journal on Mathematical Analysis
7 Computing and Visualization in Science
7 Abstract and Applied Analysis
7 Combustion Theory and Modelling
7 International Journal of Nonlinear Sciences and Numerical Simulation
7 The ANZIAM Journal
7 Communications in Applied Mathematics and Computational Science
7 Discrete and Continuous Dynamical Systems. Series S
6 Applicable Analysis
6 Physica A
6 Automatica
6 Calcolo
6 Meccanica
6 SIAM Journal on Matrix Analysis and Applications
6 Journal of Mathematical Imaging and Vision
6 Chaos
6 Foundations of Computational Mathematics
6 Bulletin of the Brazilian Mathematical Society. New Series
...and 289 more Serials
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Cited in 51 Fields

3,089 Numerical analysis (65-XX)
2,589 Fluid mechanics (76-XX)
1,962 Partial differential equations (35-XX)
416 Mechanics of deformable solids (74-XX)
348 Biology and other natural sciences (92-XX)
239 Geophysics (86-XX)
161 Statistical mechanics, structure of matter (82-XX)
148 Classical thermodynamics, heat transfer (80-XX)
110 Computer science (68-XX)
110 Optics, electromagnetic theory (78-XX)
109 Operations research, mathematical programming (90-XX)
107 Ordinary differential equations (34-XX)
87 Probability theory and stochastic processes (60-XX)
83 Calculus of variations and optimal control; optimization (49-XX)
75 Dynamical systems and ergodic theory (37-XX)
71 Systems theory; control (93-XX)
54 Statistics (62-XX)
48 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
43 Astronomy and astrophysics (85-XX)
33 Linear and multilinear algebra; matrix theory (15-XX)
32 Approximations and expansions (41-XX)
32 Operator theory (47-XX)
29 Mechanics of particles and systems (70-XX)
27 Quantum theory (81-XX)
24 Information and communication theory, circuits (94-XX)
21 Functional analysis (46-XX)
21 Relativity and gravitational theory (83-XX)
20 Real functions (26-XX)
20 Integral equations (45-XX)
16 Global analysis, analysis on manifolds (58-XX)
13 Difference and functional equations (39-XX)
11 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)
6 Combinatorics (05-XX)
4 Measure and integration (28-XX)
3 Nonassociative rings and algebras (17-XX)
3 Convex and discrete geometry (52-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Mathematical logic and foundations (03-XX)
2 Topological groups, Lie groups (22-XX)
2 Special functions (33-XX)
1 Algebraic geometry (14-XX)
1 Potential theory (31-XX)
1 Sequences, series, summability (40-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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