Edit Profile (opens in new tab) LeVeque, Randall J. Co-Author Distance Author ID: leveque.randall-j Published as: LeVeque, Randall J.; LeVeque, R. J.; Leveque, Randall J.; LeVeque, Randall; Leveque, R. J. more...less Homepage: http://faculty.washington.edu/rjl/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef Documents Indexed: 107 Publications since 1979, including 6 Books and 9 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 70 Co-Authors with 81 Joint Publications 1,727 Co-Co-Authors all top 5 Co-Authors 24 single-authored 10 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 Davis, Brisa N. 3 George, David L. 3 Golub, Gene Howard 3 Goodman, Jonathan B. 3 Pelanti, Marica 2 Adams, Loyce M. 2 Chan, Tony Fan-Cheong 2 Dahlquist, Germund 2 Gragg, William B. 2 Huang, Mingyou 2 Lax, Peter David 2 Mitran, Sorin M. 2 Peskin, Charles S. 2 Rim, Donsub 2 Rossmanith, James A. 2 Shyue, Keh-Ming 2 Stern, L. G. 2 Trefethen, Lloyd Nicholas 2 Yong, Darryl H. 1 Arcos, M. E. 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 1 Evans, John W. 1 Fagnan, Kirsten 1 Fogarty, Tiernan 1 George, Jithin D. 1 González, Frank I. 1 Huber, B. R. 1 Kim, Jihwan 1 Kröner, Dietmar 1 Langseth, Jan Olav 1 Lee, Long 1 Lemoine, Grady I. 1 Lin, Guang 1 Mandli, Kyle T. 1 Matula, Thomas J. 1 Meabon, J. S. 1 Moe, Scott A. 1 Morofuji, Y. 1 Motley, Michael R. 1 Mourad, P. D. 1 Oliger, Joseph E. 1 Ou, M. Yvonne 1 Parsani, Matteo 1 Peskind, E. R. 1 Qin, Xinsheng 1 Saxton, Ralph A. 1 Temple, Blake 1 Trangenstein, John Arthur 1 Tyson, Rebecca C. 1 Vogl, Christopher J. 1 Waagan, Knut 1 Wang, Jinghua 1 Warnecke, Gerald G. 1 Wiegmann, Andreas 1 Yee, Helen C. 1 Young, David M. jun. 1 Zhang, Chaoming all top 5 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 all top 5 Fields 70 Numerical analysis (65-XX) 64 Partial differential equations (35-XX) 50 Fluid mechanics (76-XX) 12 Geophysics (86-XX) 9 Mechanics of deformable solids (74-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) Publications by Year all cited Publications top 5 cited Publications 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. 1,454 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. 1,454 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 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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