## LeVeque, Randall J.

Compute Distance To:
 Author ID: leveque.randall-j Published as: LeVeque, Randall J.; LeVeque, R. J.; Leveque, Randall J.; LeVeque, Randall; Leveque, R. J. External Links: ORCID
 Documents Indexed: 98 Publications since 1979, including 6 Books 1 Contribution as Editor Co-Authors: 63 Co-Authors with 72 Joint Publications 1,423 Co-Co-Authors
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### Co-Authors

 24 single-authored 7 Berger, Marsha J. 7 Helzel, Christiane 6 Calhoun, Donna A. 5 Ketcheson, David I. 5 Li, Zhilin 4 Del Razo, Mauricio J. 3 Bale, Derek S. 3 Golub, Gene Howard 3 Goodman, Jonathan B. 3 Pelanti, Marica 2 Chan, Tony Fan-Cheong 2 Dahlquist, Germund 2 George, David L. 2 Gragg, William B. 2 Huang, Mingyou 2 Lax, Peter David 2 Mitran, Sorin M. 2 Peskin, Charles S. 2 Rossmanith, James A. 2 Shyue, Keh-Ming 2 Stern, L. G. 2 Trefethen, Lloyd Nicholas 2 Yong, Darryl H. 1 Adams, Loyce M. 1 Banks, W. A. 1 Beale, J. Thomas 1 Beyer, Richard P. jun. 1 Chopp, David L. 1 Clarkson, Peter A. 1 Cook, Derek G. 1 Dafermos, Constantine M. 1 Davis, Brisa N. 1 Evans, John W. 1 Fagnan, Kirsten 1 Fogarty, Tiernan 1 George, Jithin D. 1 Huber, B. R. 1 Kim, Jihwan 1 Kröner, Dietmar 1 Langseth, Jan Olav 1 Lee, Long 1 Lemoine, Grady I. 1 Matula, Thomas J. 1 Meabon, J. S. 1 Moe, Scott A. 1 Morofuji, Y. 1 Mourad, P. D. 1 Oliger, Joseph E. 1 Ou, M. Yvonne 1 Parsani, Matteo 1 Peskind, E. R. 1 Rim, Donsub 1 Saxton, Ralph A. 1 Temple, Blake 1 Trangenstein, John Arthur 1 Tyson, Rebecca C. 1 Vogl, Christopher J. 1 Wang, Jinghua 1 Warnecke, Gerald G. 1 Wiegmann, Andreas 1 Yee, Helen C. 1 Young, David M. jun. 1 Zhang, Chaoming
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### Serials

 11 SIAM Journal on Numerical Analysis 11 SIAM Journal on Scientific Computing 9 Journal of Computational Physics 5 SIAM Journal on Applied Mathematics 4 Mathematics of Computation 2 Journal of Scientific Computing 2 Communications in Applied Mathematics and Computational Science 1 The American Statistician 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 IMA Journal of Numerical Analysis 1 International Journal for Numerical Methods in Fluids 1 Journal of Fluid Mechanics 1 Journal of Mathematical Biology 1 Wave Motion 1 ACM Transactions on Mathematical Software 1 BIT 1 Journal of the American Statistical Association 1 Numerische Mathematik 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Applied Mathematics Letters 1 SIAM Review 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Communications in Mathematical Sciences 1 Journal of Hyperbolic Differential Equations 1 Acta Numerica 1 Oberwolfach Reports 1 SIAM/ASA Journal on Uncertainty Quantification 1 Cambridge Texts in Applied Mathematics 1 Fundamentals of Algorithms
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### Fields

 65 Numerical analysis (65-XX) 64 Partial differential equations (35-XX) 49 Fluid mechanics (76-XX) 9 Mechanics of deformable solids (74-XX) 8 Geophysics (86-XX) 8 Biology and other natural sciences (92-XX) 4 Astronomy and astrophysics (85-XX) 3 Statistics (62-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Ordinary differential equations (34-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

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
1994
Numerical methods for conservation laws. 2nd ed. Zbl 0847.65053
LeVeque, Randall J.
1992
Finite difference methods for ordinary and partial differential equations. Steady-state and time-dependent problems. Zbl 1127.65080
LeVeque, Randall J.
2007
Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm. Zbl 0931.76059
LeVeque, Randall J.
1998
High-resolution conservative algorithms for advection in incompressible flow. Zbl 0852.76057
LeVeque, Randall J.
1996
A study of numerical methods for hyperbolic conservation laws with stiff source terms. Zbl 0682.76053
LeVeque, R. J.; Yee, H. C.
1990
Immersed interface methods for Stokes flow with elastic boundaries or surface tension. Zbl 0879.76061
LeVeque, Randall J.; Li, Zhilin
1997
Numerical methods for conservation laws. Zbl 0723.65067
LeVeque, Randall J.
1990
An immersed interface method for incompressible Navier–Stokes equations. Zbl 1163.65322
Lee, Long; LeVeque, Randall J.
2003
Wave propagation algorithms for multidimensional hyperbolic systems. Zbl 0872.76075
LeVeque, Randall J.
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.
2002
Analysis of a one-dimensional model for the immersed boundary method. Zbl 0762.65052
Beyer, R. P.; LeVeque, R. J.
1992
Adaptive mesh refinement using wave-propagation algorithms for hyperbolic systems. Zbl 0921.65070
Berger, Marsha J.; LeVeque, Randall J.
1998
Fractional step methods applied to a chemotaxis model. Zbl 1002.92003
Tyson, Rebecca; Stern, L. G.; LeVeque, Randall J.
2000
Solitary-wave interactions in elastic rods. Zbl 0606.73028
Clarkson, Peter A.; LeVeque, Randall J.; Saxton, Ralph
1986
On the accuracy of stable schemes for 2D scalar conservation laws. Zbl 0592.65058
Goodman, Jonathan B.; LeVeque, Randall J.
1985
The immersed interface method for acoustic wave equations with discontinuous coefficients. Zbl 0915.76084
Zhang, Chaoming; LeVeque, Randall J.
1997
A wave propagation method for three-dimensional hyperbolic conservation laws. Zbl 0967.65095
Langseth, Jan Olav; LeVeque, Randall J.
2000
Two-dimensional front tracking based on high resolution wave propagation methods. Zbl 0849.65063
LeVeque, Randall J.; Shyue, Keh-Ming
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.
2003
On the resolvent condition in the Kreiss matrix theorem. Zbl 0559.15018
LeVeque, Randall J.; Trefethen, Lloyd N.
1984
Wave propagation methods for conservation laws with source terms. Zbl 0927.35062
LeVeque, Randall J.; Bale, Derek S.
1999
A class of approximate Riemann solvers and their relation to relaxation schemes. Zbl 0988.65072
LeVeque, Randall J.; Pelanti, Marica
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.
2008
A modified fractional step method for the accurate approximation of detonation waves. Zbl 0983.65105
Helzel, Christiane; LeVeque, Randall J.; Warnecke, Gerald
2000
High resolution finite volume methods on arbitrary grids via wave propagation. Zbl 0649.65050
LeVeque, Randall J.
1988
A large time step generalization of Godunov’s method for systems of conservation laws. Zbl 0584.65058
LeVeque, Randall J.
1985
A Cartesian grid finite-volume method for the advection-diffusion equation in irregular geometries. Zbl 0952.65075
Calhoun, Donna; LeVeque, Randall J.
2000
The dynamics of pressureless dust clouds and delta waves. Zbl 1079.76074
LeVeque, Randall J.
2004
A high-resolution rotated grid method for conservation laws with embedded geometries. Zbl 1074.35071
Helzel, Christiane; Berger, M. J.; LeVeque, R. J.
2005
Numerical methods based on additive splittings for hyperbolic partial differential equations. Zbl 0516.65075
LeVeque, Randall J.; Oliger, Joseph
1983
Tsunami modelling with adaptively refined finite volume methods. Zbl 1426.76394
LeVeque, Randall J.; George, David L.; Berger, Marsha J.
2011
One-dimensional front tracking based on high resolution wave propagation methods. Zbl 0824.65094
LeVeque, Randall J.; Shyue, Keh-Ming
1995
Solitary waves in layered nonlinear media. Zbl 1075.74047
LeVeque, Randall J.; Yong, Darryl H.
2003
A wave propagation algorithm for hyperbolic systems on curved manifolds. Zbl 1126.76350
Rossmanith, James A.; Bale, Derek S.; LeVeque, Randall J.
2004
A geometric approach to high resolution TVD schemes. Zbl 0645.65051
Goodman, Jonathan B.; LeVeque, Randall J.
1988
High-order wave propagation algorithms for hyperbolic systems. Zbl 1264.65151
Ketcheson, David I.; Parsani, Matteo; LeVeque, Randall J.
2013
Large time step shock-capturing techniques for scalar conservation laws. Zbl 0493.65040
LeVeque, Randall J.
1982
Algorithms for computing the sample variance: Analysis and recommendations. Zbl 0521.65098
Chan, Tony F.; Golub, Gene H.; LeVeque, Randall J.
1983
Transport reversal for model reduction of hyperbolic partial differential equations. Zbl 1398.65084
Rim, Donsub; Moe, Scott; LeVeque, Randall J.
2018
Moving-mesh methods for one-dimensional hyperbolic problems using CLAWPACK. Zbl 1035.65094
Fazio, R.; LeVeque, R. J.
2003
On least squares exponential sum approximation with positive coefficients. Zbl 0424.65002
Evans, John W.; Gragg, William B.; LeVeque, Randall J.
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
1985
On the interaction of nearly equal solitons in the KdV equation. Zbl 0637.35078
LeVeque, Randall J.
1987
High-resolution finite volume methods for dusty gas jets and plumes. Zbl 1123.76042
Pelanti, Marica; Leveque, Randall J.
2006
Finite volume methods for nonlinear elasticity in heterogeneous media. Zbl 1024.74044
LeVeque, Randall J.
2002
Analysis of the SOR iteration for the 9-point Laplacian. Zbl 0662.65090
Adams, Loyce M.; LeVeque, Randall J.; Young, David M.
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.
2013
Updating formulae and a pairwise algorithm for computing sample variances. Zbl 0491.65071
Chan, T. F.; Golub, Gene H.; LeVeque, Randall J.
1982
A well-balanced path-integral f-wave method for hyperbolic problems with source terms. Zbl 1221.65233
LeVeque, Randall J.
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
1983
Simplified multi-dimensional flux limiter methods. Zbl 0801.76069
LeVeque, Randall J.
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.
2009
Numerically stable methods for updating regressions. Zbl 0398.62058
Gragg, W. B.; LeVeque, Randall J.; Trangenstein, J. A.
1979
Convergence of a large time step generalization of Godunov’s method for conservation laws. Zbl 0592.65057
LeVeque, Randall J.
1984
Intermediate boundary conditions for time-split methods applied to hyperbolic partial differential equations. Zbl 0596.65062
LeVeque, Randall J.
1986
Cartesian grid methods for fluid flow in complex geometries. Zbl 1170.92315
LeVeque, Randall J.; Calhoun, Donna
2001
Two-layer shallow water system and its applications. Zbl 1189.35230
Kim, Jihwan; LeVeque, Randall J.
2009
Nonlinear conservation laws and finite volume methods. Zbl 0931.76052
LeVeque, Randall J.
1998
Extensions and uses of the variable projection algorithm for solving nonlinear least squares problems. Zbl 0448.65039
Golub, Gene H.; LeVeque, Randall J.
1979
Solution of a two-dimensional cochlea model with fluid viscosity. Zbl 0647.92011
LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D.
1988
WENOCLAW: A higher order wave propagation method. Zbl 1138.65084
Ketcheson, D. I.; LeVeque, R. J.
2008
Numerical methods for interface coupling of compressible and almost incompressible media. Zbl 1459.65214
Del Razo, M. J.; LeVeque, R. J.
2017
CLAWPACK – a software package for solving multi-dimensional conservation laws. Zbl 0918.35003
LeVeque, Randall J.
1996
Shock dynamics in layered periodic media. Zbl 1273.35186
Ketcheson, David I.; LeVeque, Randall J.
2012
Solution of a two-dimensional cochlea model using transform techniques. Zbl 0576.76130
LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D.
1985
Grid alignment effects and rotated methods for computing complex flows in astrophysics. Zbl 0800.76347
LeVeque, R. J.; Walder, R.
1992
Erratum: The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0834.65099
LeVeque, Randall J.; Li, Zhilin
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.
2013
An accuracy study of mesh refinement on mapped grids. Zbl 1246.76112
Calhoun, D.; LeVeque, R. J.
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
2008
Crack jump conditions for elliptic problems. Zbl 0958.74051
Wiegmann, A.; Li, Z.; LeVeque, R. J.
1999
Fourier analysis of the SOR iteration. Zbl 0648.65028
LeVeque, Randall J.; Trefethen, Lloyd N.
1988
High-resolution methods and adaptive refinement for tsunami propagation and inundation. Zbl 1388.86010
George, D. L.; LeVeque, R. J.
2008
CLAWPACK and AMRCLAW – software for high-resolution Godunov methods. Zbl 0939.76571
LeVeque, Randall J.
1998
Universality in the run-up of shock waves to the surface of a star. Zbl 1241.76314
Gundlach, C.; Leveque, R. J.
2011
Cartesian meshes and adaptive mesh refinement for hyperbolic partial differential equations. Zbl 0825.76502
Berger, Marsha; LeVeque, Randall
1991
Computational study of shock waves propagating through air-plastic-water interfaces. Zbl 1382.76182
Del Razo, Mauricio J.; LeVeque, Randall J.
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.
2016
A linear hyperbolic system with stiff source terms. Zbl 0921.35086
LeVeque, Randall J.; Wang, Jinghua
1993
High-resolution finite volume methods for acoustics in a rapidly-varying heterogeneous medium. Zbl 0973.76578
Fogarty, Tiernan; LeVeque, Randall J.
1998
Wave propagation software, computational science, and reproducible research. Zbl 1100.65068
LeVeque, Randall J.
2006
Phase plane behavior of solitary waves in nonlinear layered media. Zbl 1134.74379
LeVeque, Randall J.; Yong, Darryl H.
2003
A finite volume grid for solving hyperbolic problems on the sphere. Zbl 1138.65066
Calhoun, D.; Helzel, C.; LeVeque, R. J.
2008
Riemann problems and Jupyter solutions. Zbl 07218592
Ketcheson, David I.; LeVeque, Randall J.; del Razo, Mauricio J.
2020
TVD schemes in one and two space dimensions. Zbl 0595.76007
LeVeque, Randall J.; Goodman, Jonathan B.
1985
Riemann problems and Jupyter solutions. Zbl 07218592
Ketcheson, David I.; LeVeque, Randall J.; del Razo, Mauricio J.
2020
Transport reversal for model reduction of hyperbolic partial differential equations. Zbl 1398.65084
Rim, Donsub; Moe, Scott; LeVeque, Randall J.
2018
Numerical methods for interface coupling of compressible and almost incompressible media. Zbl 1459.65214
Del Razo, M. J.; LeVeque, R. J.
2017
Computational study of shock waves propagating through air-plastic-water interfaces. Zbl 1382.76182
Del Razo, Mauricio J.; LeVeque, Randall J.
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.
2016
High-order wave propagation algorithms for hyperbolic systems. Zbl 1264.65151
Ketcheson, David I.; Parsani, Matteo; LeVeque, Randall J.
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.
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.
2013
Shock dynamics in layered periodic media. Zbl 1273.35186
Ketcheson, David I.; LeVeque, Randall J.
2012
Tsunami modelling with adaptively refined finite volume methods. Zbl 1426.76394
LeVeque, Randall J.; George, David L.; Berger, Marsha J.
2011
A well-balanced path-integral f-wave method for hyperbolic problems with source terms. Zbl 1221.65233
LeVeque, Randall J.
2011
Universality in the run-up of shock waves to the surface of a star. Zbl 1241.76314
Gundlach, C.; Leveque, R. J.
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.
2009
Two-layer shallow water system and its applications. Zbl 1189.35230
Kim, Jihwan; LeVeque, Randall J.
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.
2008
WENOCLAW: A higher order wave propagation method. Zbl 1138.65084
Ketcheson, D. I.; LeVeque, R. J.
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
2008
High-resolution methods and adaptive refinement for tsunami propagation and inundation. Zbl 1388.86010
George, D. L.; LeVeque, R. J.
2008
A finite volume grid for solving hyperbolic problems on the sphere. Zbl 1138.65066
Calhoun, D.; Helzel, C.; LeVeque, R. J.
2008
Finite difference methods for ordinary and partial differential equations. Steady-state and time-dependent problems. Zbl 1127.65080
LeVeque, Randall J.
2007
High-resolution finite volume methods for dusty gas jets and plumes. Zbl 1123.76042
Pelanti, Marica; Leveque, Randall J.
2006
Wave propagation software, computational science, and reproducible research. Zbl 1100.65068
LeVeque, Randall J.
2006
A high-resolution rotated grid method for conservation laws with embedded geometries. Zbl 1074.35071
Helzel, Christiane; Berger, M. J.; LeVeque, R. J.
2005
An accuracy study of mesh refinement on mapped grids. Zbl 1246.76112
Calhoun, D.; LeVeque, R. J.
2005
The dynamics of pressureless dust clouds and delta waves. Zbl 1079.76074
LeVeque, Randall J.
2004
A wave propagation algorithm for hyperbolic systems on curved manifolds. Zbl 1126.76350
Rossmanith, James A.; Bale, Derek S.; LeVeque, Randall J.
2004
An immersed interface method for incompressible Navier–Stokes equations. Zbl 1163.65322
Lee, Long; LeVeque, Randall J.
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.
2003
Solitary waves in layered nonlinear media. Zbl 1075.74047
LeVeque, Randall J.; Yong, Darryl H.
2003
Moving-mesh methods for one-dimensional hyperbolic problems using CLAWPACK. Zbl 1035.65094
Fazio, R.; LeVeque, R. J.
2003
Phase plane behavior of solitary waves in nonlinear layered media. Zbl 1134.74379
LeVeque, Randall J.; Yong, Darryl H.
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.
2002
Finite volume methods for nonlinear elasticity in heterogeneous media. Zbl 1024.74044
LeVeque, Randall J.
2002
A class of approximate Riemann solvers and their relation to relaxation schemes. Zbl 0988.65072
LeVeque, Randall J.; Pelanti, Marica
2001
Cartesian grid methods for fluid flow in complex geometries. Zbl 1170.92315
LeVeque, Randall J.; Calhoun, Donna
2001
Fractional step methods applied to a chemotaxis model. Zbl 1002.92003
Tyson, Rebecca; Stern, L. G.; LeVeque, Randall J.
2000
A wave propagation method for three-dimensional hyperbolic conservation laws. Zbl 0967.65095
Langseth, Jan Olav; LeVeque, Randall J.
2000
A modified fractional step method for the accurate approximation of detonation waves. Zbl 0983.65105
Helzel, Christiane; LeVeque, Randall J.; Warnecke, Gerald
2000
A Cartesian grid finite-volume method for the advection-diffusion equation in irregular geometries. Zbl 0952.65075
Calhoun, Donna; LeVeque, Randall J.
2000
Wave propagation methods for conservation laws with source terms. Zbl 0927.35062
LeVeque, Randall J.; Bale, Derek S.
1999
Crack jump conditions for elliptic problems. Zbl 0958.74051
Wiegmann, A.; Li, Z.; LeVeque, R. J.
1999
Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm. Zbl 0931.76059
LeVeque, Randall J.
1998
Adaptive mesh refinement using wave-propagation algorithms for hyperbolic systems. Zbl 0921.65070
Berger, Marsha J.; LeVeque, Randall J.
1998
Nonlinear conservation laws and finite volume methods. Zbl 0931.76052
LeVeque, Randall J.
1998
CLAWPACK and AMRCLAW – software for high-resolution Godunov methods. Zbl 0939.76571
LeVeque, Randall J.
1998
High-resolution finite volume methods for acoustics in a rapidly-varying heterogeneous medium. Zbl 0973.76578
Fogarty, Tiernan; LeVeque, Randall J.
1998
Immersed interface methods for Stokes flow with elastic boundaries or surface tension. Zbl 0879.76061
LeVeque, Randall J.; Li, Zhilin
1997
Wave propagation algorithms for multidimensional hyperbolic systems. Zbl 0872.76075
LeVeque, Randall J.
1997
The immersed interface method for acoustic wave equations with discontinuous coefficients. Zbl 0915.76084
Zhang, Chaoming; LeVeque, Randall J.
1997
High-resolution conservative algorithms for advection in incompressible flow. Zbl 0852.76057
LeVeque, Randall J.
1996
Two-dimensional front tracking based on high resolution wave propagation methods. Zbl 0849.65063
LeVeque, Randall J.; Shyue, Keh-Ming
1996
CLAWPACK – a software package for solving multi-dimensional conservation laws. Zbl 0918.35003
LeVeque, Randall J.
1996
One-dimensional front tracking based on high resolution wave propagation methods. Zbl 0824.65094
LeVeque, Randall J.; Shyue, Keh-Ming
1995
Erratum: The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0834.65099
LeVeque, Randall J.; Li, Zhilin
1995
The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0811.65083
LeVeque, Randall J.; Li, Zhilin
1994
Simplified multi-dimensional flux limiter methods. Zbl 0801.76069
LeVeque, Randall J.
1993
A linear hyperbolic system with stiff source terms. Zbl 0921.35086
LeVeque, Randall J.; Wang, Jinghua
1993
Numerical methods for conservation laws. 2nd ed. Zbl 0847.65053
LeVeque, Randall J.
1992
Analysis of a one-dimensional model for the immersed boundary method. Zbl 0762.65052
Beyer, R. P.; LeVeque, R. J.
1992
Grid alignment effects and rotated methods for computing complex flows in astrophysics. Zbl 0800.76347
LeVeque, R. J.; Walder, R.
1992
Cartesian meshes and adaptive mesh refinement for hyperbolic partial differential equations. Zbl 0825.76502
Berger, Marsha; LeVeque, Randall
1991
A study of numerical methods for hyperbolic conservation laws with stiff source terms. Zbl 0682.76053
LeVeque, R. J.; Yee, H. C.
1990
Numerical methods for conservation laws. Zbl 0723.65067
LeVeque, Randall J.
1990
High resolution finite volume methods on arbitrary grids via wave propagation. Zbl 0649.65050
LeVeque, Randall J.
1988
A geometric approach to high resolution TVD schemes. Zbl 0645.65051
Goodman, Jonathan B.; LeVeque, Randall J.
1988
Analysis of the SOR iteration for the 9-point Laplacian. Zbl 0662.65090
Adams, Loyce M.; LeVeque, Randall J.; Young, David M.
1988
Solution of a two-dimensional cochlea model with fluid viscosity. Zbl 0647.92011
LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D.
1988
Fourier analysis of the SOR iteration. Zbl 0648.65028
LeVeque, Randall J.; Trefethen, Lloyd N.
1988
On the interaction of nearly equal solitons in the KdV equation. Zbl 0637.35078
LeVeque, Randall J.
1987
Solitary-wave interactions in elastic rods. Zbl 0606.73028
Clarkson, Peter A.; LeVeque, Randall J.; Saxton, Ralph
1986
Intermediate boundary conditions for time-split methods applied to hyperbolic partial differential equations. Zbl 0596.65062
LeVeque, Randall J.
1986
On the accuracy of stable schemes for 2D scalar conservation laws. Zbl 0592.65058
Goodman, Jonathan B.; LeVeque, Randall J.
1985
A large time step generalization of Godunov’s method for systems of conservation laws. Zbl 0584.65058
LeVeque, Randall J.
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
1985
Solution of a two-dimensional cochlea model using transform techniques. Zbl 0576.76130
LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D.
1985
TVD schemes in one and two space dimensions. Zbl 0595.76007
LeVeque, Randall J.; Goodman, Jonathan B.
1985
On the resolvent condition in the Kreiss matrix theorem. Zbl 0559.15018
LeVeque, Randall J.; Trefethen, Lloyd N.
1984
Convergence of a large time step generalization of Godunov’s method for conservation laws. Zbl 0592.65057
LeVeque, Randall J.
1984
Numerical methods based on additive splittings for hyperbolic partial differential equations. Zbl 0516.65075
LeVeque, Randall J.; Oliger, Joseph
1983
Algorithms for computing the sample variance: Analysis and recommendations. Zbl 0521.65098
Chan, Tony F.; Golub, Gene H.; LeVeque, Randall J.
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
1983
Large time step shock-capturing techniques for scalar conservation laws. Zbl 0493.65040
LeVeque, Randall J.
1982
Updating formulae and a pairwise algorithm for computing sample variances. Zbl 0491.65071
Chan, T. F.; Golub, Gene H.; LeVeque, Randall J.
1982
On least squares exponential sum approximation with positive coefficients. Zbl 0424.65002
Evans, John W.; Gragg, William B.; LeVeque, Randall J.
1980
Numerically stable methods for updating regressions. Zbl 0398.62058
Gragg, W. B.; LeVeque, Randall J.; Trangenstein, J. A.
1979
Extensions and uses of the variable projection algorithm for solving nonlinear least squares problems. Zbl 0448.65039
Golub, Gene H.; LeVeque, Randall J.
1979
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### 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)