Edit Profile (opens in new tab) LeVeque, Randall J. Compute Distance To: Compute 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 all top 5 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 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 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) Publications by Year all cited Publications top 5 cited Publications 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 1010.65040LeVeque, Randall J. 1,143 2002 The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0811.65083LeVeque, Randall J.; Li, Zhilin 572 1994 Numerical methods for conservation laws. 2nd ed. Zbl 0847.65053LeVeque, Randall J. 565 1992 Finite difference methods for ordinary and partial differential equations. Steady-state and time-dependent problems. Zbl 1127.65080LeVeque, Randall J. 289 2007 Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm. Zbl 0931.76059LeVeque, Randall J. 283 1998 High-resolution conservative algorithms for advection in incompressible flow. Zbl 0852.76057LeVeque, Randall J. 257 1996 A study of numerical methods for hyperbolic conservation laws with stiff source terms. Zbl 0682.76053LeVeque, R. J.; Yee, H. C. 230 1990 Immersed interface methods for Stokes flow with elastic boundaries or surface tension. Zbl 0879.76061LeVeque, Randall J.; Li, Zhilin 198 1997 Numerical methods for conservation laws. Zbl 0723.65067LeVeque, Randall J. 153 1990 An immersed interface method for incompressible Navier–Stokes equations. Zbl 1163.65322Lee, Long; LeVeque, Randall J. 143 2003 Wave propagation algorithms for multidimensional hyperbolic systems. Zbl 0872.76075LeVeque, Randall J. 107 1997 A wave propagation method for conservation laws and balance laws with spatially varying flux functions. Zbl 1034.65068Bale, Derek S.; LeVeque, Randall J.; Mitran, Sorin; Rossmanith, James A. 84 2002 Analysis of a one-dimensional model for the immersed boundary method. Zbl 0762.65052Beyer, R. P.; LeVeque, R. J. 82 1992 Adaptive mesh refinement using wave-propagation algorithms for hyperbolic systems. Zbl 0921.65070Berger, Marsha J.; LeVeque, Randall J. 70 1998 Fractional step methods applied to a chemotaxis model. Zbl 1002.92003Tyson, Rebecca; Stern, L. G.; LeVeque, Randall J. 67 2000 Solitary-wave interactions in elastic rods. Zbl 0606.73028Clarkson, Peter A.; LeVeque, Randall J.; Saxton, Ralph 62 1986 On the accuracy of stable schemes for 2D scalar conservation laws. Zbl 0592.65058Goodman, Jonathan B.; LeVeque, Randall J. 50 1985 The immersed interface method for acoustic wave equations with discontinuous coefficients. Zbl 0915.76084Zhang, Chaoming; LeVeque, Randall J. 44 1997 A wave propagation method for three-dimensional hyperbolic conservation laws. Zbl 0967.65095Langseth, Jan Olav; LeVeque, Randall J. 39 2000 Two-dimensional front tracking based on high resolution wave propagation methods. Zbl 0849.65063LeVeque, Randall J.; Shyue, Keh-Ming 37 1996 H-box methods for the approximation of hyperbolic conservation laws on irregular grids. Zbl 1066.65082Berger, Marsha J.; Helzel, Christiane; LeVeque, Randall J. 37 2003 On the resolvent condition in the Kreiss matrix theorem. Zbl 0559.15018LeVeque, Randall J.; Trefethen, Lloyd N. 37 1984 Wave propagation methods for conservation laws with source terms. Zbl 0927.35062LeVeque, Randall J.; Bale, Derek S. 35 1999 A class of approximate Riemann solvers and their relation to relaxation schemes. Zbl 0988.65072LeVeque, Randall J.; Pelanti, Marica 35 2001 Logically rectangular grids and finite volume methods for PDEs in circular and spherical domains. Zbl 1155.65061Calhoun, Donna A.; Helzel, Christiane; LeVeque, Randall J. 31 2008 A modified fractional step method for the accurate approximation of detonation waves. Zbl 0983.65105Helzel, Christiane; LeVeque, Randall J.; Warnecke, Gerald 30 2000 High resolution finite volume methods on arbitrary grids via wave propagation. Zbl 0649.65050LeVeque, Randall J. 30 1988 A large time step generalization of Godunov’s method for systems of conservation laws. Zbl 0584.65058LeVeque, Randall J. 28 1985 A Cartesian grid finite-volume method for the advection-diffusion equation in irregular geometries. Zbl 0952.65075Calhoun, Donna; LeVeque, Randall J. 26 2000 The dynamics of pressureless dust clouds and delta waves. Zbl 1079.76074LeVeque, Randall J. 25 2004 A high-resolution rotated grid method for conservation laws with embedded geometries. Zbl 1074.35071Helzel, Christiane; Berger, M. J.; LeVeque, R. J. 25 2005 Numerical methods based on additive splittings for hyperbolic partial differential equations. Zbl 0516.65075LeVeque, Randall J.; Oliger, Joseph 24 1983 Tsunami modelling with adaptively refined finite volume methods. Zbl 1426.76394LeVeque, Randall J.; George, David L.; Berger, Marsha J. 23 2011 One-dimensional front tracking based on high resolution wave propagation methods. Zbl 0824.65094LeVeque, Randall J.; Shyue, Keh-Ming 23 1995 Solitary waves in layered nonlinear media. Zbl 1075.74047LeVeque, Randall J.; Yong, Darryl H. 22 2003 A wave propagation algorithm for hyperbolic systems on curved manifolds. Zbl 1126.76350Rossmanith, James A.; Bale, Derek S.; LeVeque, Randall J. 21 2004 A geometric approach to high resolution TVD schemes. Zbl 0645.65051Goodman, Jonathan B.; LeVeque, Randall J. 21 1988 High-order wave propagation algorithms for hyperbolic systems. Zbl 1264.65151Ketcheson, David I.; Parsani, Matteo; LeVeque, Randall J. 21 2013 Large time step shock-capturing techniques for scalar conservation laws. Zbl 0493.65040LeVeque, Randall J. 19 1982 Algorithms for computing the sample variance: Analysis and recommendations. Zbl 0521.65098Chan, Tony F.; Golub, Gene H.; LeVeque, Randall J. 18 1983 Transport reversal for model reduction of hyperbolic partial differential equations. Zbl 1398.65084Rim, Donsub; Moe, Scott; LeVeque, Randall J. 16 2018 Moving-mesh methods for one-dimensional hyperbolic problems using CLAWPACK. Zbl 1035.65094Fazio, R.; LeVeque, R. J. 14 2003 On least squares exponential sum approximation with positive coefficients. Zbl 0424.65002Evans, John W.; Gragg, William B.; LeVeque, Randall J. 14 1980 Stability of Godunov’s method for a class of 2\(\times 2\) systems of conservation laws. Zbl 0561.65067LeVeque, Randall J.; Temple, Blake 13 1985 On the interaction of nearly equal solitons in the KdV equation. Zbl 0637.35078LeVeque, Randall J. 13 1987 High-resolution finite volume methods for dusty gas jets and plumes. Zbl 1123.76042Pelanti, Marica; Leveque, Randall J. 13 2006 Finite volume methods for nonlinear elasticity in heterogeneous media. Zbl 1024.74044LeVeque, Randall J. 12 2002 Analysis of the SOR iteration for the 9-point Laplacian. Zbl 0662.65090Adams, Loyce M.; LeVeque, Randall J.; Young, David M. 12 1988 High-resolution finite volume modeling of wave propagation in orthotropic poroelastic media. Zbl 1342.74173Lemoine, Grady I.; Ou, M. Yvonne; LeVeque, Randall J. 12 2013 Updating formulae and a pairwise algorithm for computing sample variances. Zbl 0491.65071Chan, T. F.; Golub, Gene H.; LeVeque, Randall J. 10 1982 A well-balanced path-integral f-wave method for hyperbolic problems with source terms. Zbl 1221.65233LeVeque, Randall J. 9 2011 On the uniform power-boundedness of a family of matrices and the applications to one-leg and linear multistep methods. Zbl 0526.65051Dahlquist, Germund; Huang, Mingyou; LeVeque, Randall 9 1983 Simplified multi-dimensional flux limiter methods. Zbl 0801.76069LeVeque, Randall J. 9 1993 Logically rectangular finite volume methods with adaptive refinement on the sphere. Zbl 1192.76028Berger, Marsha J.; Calhoun, Donna A.; Helzel, Christiane; LeVeque, Randall J. 9 2009 Numerically stable methods for updating regressions. Zbl 0398.62058Gragg, W. B.; LeVeque, Randall J.; Trangenstein, J. A. 8 1979 Convergence of a large time step generalization of Godunov’s method for conservation laws. Zbl 0592.65057LeVeque, Randall J. 8 1984 Intermediate boundary conditions for time-split methods applied to hyperbolic partial differential equations. Zbl 0596.65062LeVeque, Randall J. 8 1986 Cartesian grid methods for fluid flow in complex geometries. Zbl 1170.92315LeVeque, Randall J.; Calhoun, Donna 8 2001 Two-layer shallow water system and its applications. Zbl 1189.35230Kim, Jihwan; LeVeque, Randall J. 7 2009 Nonlinear conservation laws and finite volume methods. Zbl 0931.76052LeVeque, Randall J. 6 1998 Extensions and uses of the variable projection algorithm for solving nonlinear least squares problems. Zbl 0448.65039Golub, Gene H.; LeVeque, Randall J. 6 1979 Solution of a two-dimensional cochlea model with fluid viscosity. Zbl 0647.92011LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D. 6 1988 WENOCLAW: A higher order wave propagation method. Zbl 1138.65084Ketcheson, D. I.; LeVeque, R. J. 6 2008 Numerical methods for interface coupling of compressible and almost incompressible media. Zbl 1459.65214Del Razo, M. J.; LeVeque, R. J. 6 2017 CLAWPACK – a software package for solving multi-dimensional conservation laws. Zbl 0918.35003LeVeque, Randall J. 5 1996 Shock dynamics in layered periodic media. Zbl 1273.35186Ketcheson, David I.; LeVeque, Randall J. 5 2012 Solution of a two-dimensional cochlea model using transform techniques. Zbl 0576.76130LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D. 5 1985 Grid alignment effects and rotated methods for computing complex flows in astrophysics. Zbl 0800.76347LeVeque, R. J.; Walder, R. 5 1992 Erratum: The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0834.65099LeVeque, Randall J.; Li, Zhilin 4 1995 Computational models of material interfaces for the study of extracorporeal shock wave therapy. Zbl 1278.92018Fagnan, Kirsten; LeVeque, Randall J.; Matula, Thomas J. 4 2013 An accuracy study of mesh refinement on mapped grids. Zbl 1246.76112Calhoun, D.; LeVeque, R. J. 4 2005 Correction to the article “A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources” by Vaughan et al. Zbl 1175.65134Beale, J. Thomas; Chopp, David L.; Leveque, Randall J.; Li, Zhilin 4 2008 Crack jump conditions for elliptic problems. Zbl 0958.74051Wiegmann, A.; Li, Z.; LeVeque, R. J. 4 1999 Fourier analysis of the SOR iteration. Zbl 0648.65028LeVeque, Randall J.; Trefethen, Lloyd N. 4 1988 High-resolution methods and adaptive refinement for tsunami propagation and inundation. Zbl 1388.86010George, D. L.; LeVeque, R. J. 4 2008 CLAWPACK and AMRCLAW – software for high-resolution Godunov methods. Zbl 0939.76571LeVeque, Randall J. 3 1998 Universality in the run-up of shock waves to the surface of a star. Zbl 1241.76314Gundlach, C.; Leveque, R. J. 3 2011 Cartesian meshes and adaptive mesh refinement for hyperbolic partial differential equations. Zbl 0825.76502Berger, Marsha; LeVeque, Randall 3 1991 Computational study of shock waves propagating through air-plastic-water interfaces. Zbl 1382.76182Del Razo, Mauricio J.; LeVeque, Randall J. 3 2016 Computational and in vitro studies of blast-induced blood-brain barrier disruption. Zbl 1400.92177del Razo, M. J.; Morofuji, Y.; Meabon, J. S.; Huber, B. R.; Peskind, E. R.; Banks, W. A.; Mourad, P. D.; LeVeque, R. J.; Cook, D. G. 2 2016 A linear hyperbolic system with stiff source terms. Zbl 0921.35086LeVeque, Randall J.; Wang, Jinghua 2 1993 High-resolution finite volume methods for acoustics in a rapidly-varying heterogeneous medium. Zbl 0973.76578Fogarty, Tiernan; LeVeque, Randall J. 2 1998 Wave propagation software, computational science, and reproducible research. Zbl 1100.65068LeVeque, Randall J. 2 2006 Phase plane behavior of solitary waves in nonlinear layered media. Zbl 1134.74379LeVeque, Randall J.; Yong, Darryl H. 2 2003 A finite volume grid for solving hyperbolic problems on the sphere. Zbl 1138.65066Calhoun, D.; Helzel, C.; LeVeque, R. J. 2 2008 Riemann problems and Jupyter solutions. Zbl 07218592Ketcheson, David I.; LeVeque, Randall J.; del Razo, Mauricio J. 1 2020 TVD schemes in one and two space dimensions. Zbl 0595.76007LeVeque, Randall J.; Goodman, Jonathan B. 1 1985 Riemann problems and Jupyter solutions. Zbl 07218592Ketcheson, David I.; LeVeque, Randall J.; del Razo, Mauricio J. 1 2020 Transport reversal for model reduction of hyperbolic partial differential equations. Zbl 1398.65084Rim, Donsub; Moe, Scott; LeVeque, Randall J. 16 2018 Numerical methods for interface coupling of compressible and almost incompressible media. Zbl 1459.65214Del Razo, M. J.; LeVeque, R. J. 6 2017 Computational study of shock waves propagating through air-plastic-water interfaces. Zbl 1382.76182Del Razo, Mauricio J.; LeVeque, Randall J. 3 2016 Computational and in vitro studies of blast-induced blood-brain barrier disruption. Zbl 1400.92177del Razo, M. J.; Morofuji, Y.; Meabon, J. S.; Huber, B. R.; Peskind, E. R.; Banks, W. A.; Mourad, P. D.; LeVeque, R. J.; Cook, D. G. 2 2016 High-order wave propagation algorithms for hyperbolic systems. Zbl 1264.65151Ketcheson, David I.; Parsani, Matteo; LeVeque, Randall J. 21 2013 High-resolution finite volume modeling of wave propagation in orthotropic poroelastic media. Zbl 1342.74173Lemoine, Grady I.; Ou, M. Yvonne; LeVeque, Randall J. 12 2013 Computational models of material interfaces for the study of extracorporeal shock wave therapy. Zbl 1278.92018Fagnan, Kirsten; LeVeque, Randall J.; Matula, Thomas J. 4 2013 Shock dynamics in layered periodic media. Zbl 1273.35186Ketcheson, David I.; LeVeque, Randall J. 5 2012 Tsunami modelling with adaptively refined finite volume methods. Zbl 1426.76394LeVeque, Randall J.; George, David L.; Berger, Marsha J. 23 2011 A well-balanced path-integral f-wave method for hyperbolic problems with source terms. Zbl 1221.65233LeVeque, Randall J. 9 2011 Universality in the run-up of shock waves to the surface of a star. Zbl 1241.76314Gundlach, C.; Leveque, R. J. 3 2011 Logically rectangular finite volume methods with adaptive refinement on the sphere. Zbl 1192.76028Berger, Marsha J.; Calhoun, Donna A.; Helzel, Christiane; LeVeque, Randall J. 9 2009 Two-layer shallow water system and its applications. Zbl 1189.35230Kim, Jihwan; LeVeque, Randall J. 7 2009 Logically rectangular grids and finite volume methods for PDEs in circular and spherical domains. Zbl 1155.65061Calhoun, Donna A.; Helzel, Christiane; LeVeque, Randall J. 31 2008 WENOCLAW: A higher order wave propagation method. Zbl 1138.65084Ketcheson, D. I.; LeVeque, R. J. 6 2008 Correction to the article “A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources” by Vaughan et al. Zbl 1175.65134Beale, J. Thomas; Chopp, David L.; Leveque, Randall J.; Li, Zhilin 4 2008 High-resolution methods and adaptive refinement for tsunami propagation and inundation. Zbl 1388.86010George, D. L.; LeVeque, R. J. 4 2008 A finite volume grid for solving hyperbolic problems on the sphere. Zbl 1138.65066Calhoun, D.; Helzel, C.; LeVeque, R. J. 2 2008 Finite difference methods for ordinary and partial differential equations. Steady-state and time-dependent problems. Zbl 1127.65080LeVeque, Randall J. 289 2007 High-resolution finite volume methods for dusty gas jets and plumes. Zbl 1123.76042Pelanti, Marica; Leveque, Randall J. 13 2006 Wave propagation software, computational science, and reproducible research. Zbl 1100.65068LeVeque, Randall J. 2 2006 A high-resolution rotated grid method for conservation laws with embedded geometries. Zbl 1074.35071Helzel, Christiane; Berger, M. J.; LeVeque, R. J. 25 2005 An accuracy study of mesh refinement on mapped grids. Zbl 1246.76112Calhoun, D.; LeVeque, R. J. 4 2005 The dynamics of pressureless dust clouds and delta waves. Zbl 1079.76074LeVeque, Randall J. 25 2004 A wave propagation algorithm for hyperbolic systems on curved manifolds. Zbl 1126.76350Rossmanith, James A.; Bale, Derek S.; LeVeque, Randall J. 21 2004 An immersed interface method for incompressible Navier–Stokes equations. Zbl 1163.65322Lee, Long; LeVeque, Randall J. 143 2003 H-box methods for the approximation of hyperbolic conservation laws on irregular grids. Zbl 1066.65082Berger, Marsha J.; Helzel, Christiane; LeVeque, Randall J. 37 2003 Solitary waves in layered nonlinear media. Zbl 1075.74047LeVeque, Randall J.; Yong, Darryl H. 22 2003 Moving-mesh methods for one-dimensional hyperbolic problems using CLAWPACK. Zbl 1035.65094Fazio, R.; LeVeque, R. J. 14 2003 Phase plane behavior of solitary waves in nonlinear layered media. Zbl 1134.74379LeVeque, Randall J.; Yong, Darryl H. 2 2003 Finite volume methods for hyperbolic problems. Zbl 1010.65040LeVeque, Randall J. 1,143 2002 A wave propagation method for conservation laws and balance laws with spatially varying flux functions. Zbl 1034.65068Bale, Derek S.; LeVeque, Randall J.; Mitran, Sorin; Rossmanith, James A. 84 2002 Finite volume methods for nonlinear elasticity in heterogeneous media. Zbl 1024.74044LeVeque, Randall J. 12 2002 A class of approximate Riemann solvers and their relation to relaxation schemes. Zbl 0988.65072LeVeque, Randall J.; Pelanti, Marica 35 2001 Cartesian grid methods for fluid flow in complex geometries. Zbl 1170.92315LeVeque, Randall J.; Calhoun, Donna 8 2001 Fractional step methods applied to a chemotaxis model. Zbl 1002.92003Tyson, Rebecca; Stern, L. G.; LeVeque, Randall J. 67 2000 A wave propagation method for three-dimensional hyperbolic conservation laws. Zbl 0967.65095Langseth, Jan Olav; LeVeque, Randall J. 39 2000 A modified fractional step method for the accurate approximation of detonation waves. Zbl 0983.65105Helzel, Christiane; LeVeque, Randall J.; Warnecke, Gerald 30 2000 A Cartesian grid finite-volume method for the advection-diffusion equation in irregular geometries. Zbl 0952.65075Calhoun, Donna; LeVeque, Randall J. 26 2000 Wave propagation methods for conservation laws with source terms. Zbl 0927.35062LeVeque, Randall J.; Bale, Derek S. 35 1999 Crack jump conditions for elliptic problems. Zbl 0958.74051Wiegmann, 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 0931.76059LeVeque, Randall J. 283 1998 Adaptive mesh refinement using wave-propagation algorithms for hyperbolic systems. Zbl 0921.65070Berger, Marsha J.; LeVeque, Randall J. 70 1998 Nonlinear conservation laws and finite volume methods. Zbl 0931.76052LeVeque, Randall J. 6 1998 CLAWPACK and AMRCLAW – software for high-resolution Godunov methods. Zbl 0939.76571LeVeque, Randall J. 3 1998 High-resolution finite volume methods for acoustics in a rapidly-varying heterogeneous medium. Zbl 0973.76578Fogarty, Tiernan; LeVeque, Randall J. 2 1998 Immersed interface methods for Stokes flow with elastic boundaries or surface tension. Zbl 0879.76061LeVeque, Randall J.; Li, Zhilin 198 1997 Wave propagation algorithms for multidimensional hyperbolic systems. Zbl 0872.76075LeVeque, Randall J. 107 1997 The immersed interface method for acoustic wave equations with discontinuous coefficients. Zbl 0915.76084Zhang, Chaoming; LeVeque, Randall J. 44 1997 High-resolution conservative algorithms for advection in incompressible flow. Zbl 0852.76057LeVeque, Randall J. 257 1996 Two-dimensional front tracking based on high resolution wave propagation methods. Zbl 0849.65063LeVeque, Randall J.; Shyue, Keh-Ming 37 1996 CLAWPACK – a software package for solving multi-dimensional conservation laws. Zbl 0918.35003LeVeque, Randall J. 5 1996 One-dimensional front tracking based on high resolution wave propagation methods. Zbl 0824.65094LeVeque, Randall J.; Shyue, Keh-Ming 23 1995 Erratum: The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0834.65099LeVeque, Randall J.; Li, Zhilin 4 1995 The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0811.65083LeVeque, Randall J.; Li, Zhilin 572 1994 Simplified multi-dimensional flux limiter methods. Zbl 0801.76069LeVeque, Randall J. 9 1993 A linear hyperbolic system with stiff source terms. Zbl 0921.35086LeVeque, Randall J.; Wang, Jinghua 2 1993 Numerical methods for conservation laws. 2nd ed. Zbl 0847.65053LeVeque, Randall J. 565 1992 Analysis of a one-dimensional model for the immersed boundary method. Zbl 0762.65052Beyer, R. P.; LeVeque, R. J. 82 1992 Grid alignment effects and rotated methods for computing complex flows in astrophysics. Zbl 0800.76347LeVeque, R. J.; Walder, R. 5 1992 Cartesian meshes and adaptive mesh refinement for hyperbolic partial differential equations. Zbl 0825.76502Berger, Marsha; LeVeque, Randall 3 1991 A study of numerical methods for hyperbolic conservation laws with stiff source terms. Zbl 0682.76053LeVeque, R. J.; Yee, H. C. 230 1990 Numerical methods for conservation laws. Zbl 0723.65067LeVeque, Randall J. 153 1990 High resolution finite volume methods on arbitrary grids via wave propagation. Zbl 0649.65050LeVeque, Randall J. 30 1988 A geometric approach to high resolution TVD schemes. Zbl 0645.65051Goodman, Jonathan B.; LeVeque, Randall J. 21 1988 Analysis of the SOR iteration for the 9-point Laplacian. Zbl 0662.65090Adams, Loyce M.; LeVeque, Randall J.; Young, David M. 12 1988 Solution of a two-dimensional cochlea model with fluid viscosity. Zbl 0647.92011LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D. 6 1988 Fourier analysis of the SOR iteration. Zbl 0648.65028LeVeque, Randall J.; Trefethen, Lloyd N. 4 1988 On the interaction of nearly equal solitons in the KdV equation. Zbl 0637.35078LeVeque, Randall J. 13 1987 Solitary-wave interactions in elastic rods. Zbl 0606.73028Clarkson, Peter A.; LeVeque, Randall J.; Saxton, Ralph 62 1986 Intermediate boundary conditions for time-split methods applied to hyperbolic partial differential equations. Zbl 0596.65062LeVeque, Randall J. 8 1986 On the accuracy of stable schemes for 2D scalar conservation laws. Zbl 0592.65058Goodman, Jonathan B.; LeVeque, Randall J. 50 1985 A large time step generalization of Godunov’s method for systems of conservation laws. Zbl 0584.65058LeVeque, Randall J. 28 1985 Stability of Godunov’s method for a class of 2\(\times 2\) systems of conservation laws. Zbl 0561.65067LeVeque, Randall J.; Temple, Blake 13 1985 Solution of a two-dimensional cochlea model using transform techniques. Zbl 0576.76130LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D. 5 1985 TVD schemes in one and two space dimensions. Zbl 0595.76007LeVeque, Randall J.; Goodman, Jonathan B. 1 1985 On the resolvent condition in the Kreiss matrix theorem. Zbl 0559.15018LeVeque, Randall J.; Trefethen, Lloyd N. 37 1984 Convergence of a large time step generalization of Godunov’s method for conservation laws. Zbl 0592.65057LeVeque, Randall J. 8 1984 Numerical methods based on additive splittings for hyperbolic partial differential equations. Zbl 0516.65075LeVeque, Randall J.; Oliger, Joseph 24 1983 Algorithms for computing the sample variance: Analysis and recommendations. Zbl 0521.65098Chan, Tony F.; Golub, Gene H.; LeVeque, Randall J. 18 1983 On the uniform power-boundedness of a family of matrices and the applications to one-leg and linear multistep methods. Zbl 0526.65051Dahlquist, Germund; Huang, Mingyou; LeVeque, Randall 9 1983 Large time step shock-capturing techniques for scalar conservation laws. Zbl 0493.65040LeVeque, Randall J. 19 1982 Updating formulae and a pairwise algorithm for computing sample variances. Zbl 0491.65071Chan, T. F.; Golub, Gene H.; LeVeque, Randall J. 10 1982 On least squares exponential sum approximation with positive coefficients. Zbl 0424.65002Evans, John W.; Gragg, William B.; LeVeque, Randall J. 14 1980 Numerically stable methods for updating regressions. Zbl 0398.62058Gragg, 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 0448.65039Golub, Gene H.; LeVeque, Randall J. 6 1979 all cited Publications top 5 cited Publications all top 5 Cited by 6,096 Authors 43 Li, Zhilin 39 Shu, Chi-Wang 36 Dumbser, Michael 33 Kurganov, Alexander 24 Kuzmin, Dmitri 23 Jin, Shi 21 LeVeque, Randall J. 20 Garcia-Navarro, Pilar 20 Mishra, Siddhartha 20 Parés Madroñal, Carlos 20 Toro, Eleuterio F. 20 Xing, Yulong 19 Wei, Guowei 18 Dawson, Clint N. 18 Xiao, Feng 17 Berthon, Christophe 17 Gibou, Frédéric 17 Lombard, Bruno 17 Wang, Liqun 16 Hou, Songming 16 Khoo, Boo Cheong 16 Li, Gang 16 Seaïd, Mohammed 16 Zhao, Shan 15 Herty, Michael Matthias 14 Balsara, Dinshaw S. 14 Chertock, Alina E. 14 Lai, Mingchih 13 Castro, Manuel J. 13 Klein, Rupert 13 Li, Ruo 13 Lin, Tao 13 Lukáčová-Medvid’ová, Mária 13 Murillo, Javier 13 Nave, Jean-Christophe 13 Shi, Liwei 13 Shyue, Keh-Ming 12 Benkhaldoun, Fayssal 12 Breuß, Michael 12 Göttlich, Simone 12 Griffith, Boyce E. 12 Ketcheson, David I. 12 Spijker, Marc N. 12 Vabishchevich, Pëtr Nikolaevich 11 Abgrall, Rémi 11 Clain, Stéphane Louis 11 Fernández-Nieto, Enrique Domingo 11 Karlsen, Kenneth Hvistendahl 11 Khalique, Chaudry Masood 11 Kubatko, Ethan J. 11 LeFloch, Philippe Gerard 11 Lin, Yanping 11 Noelle, Sebastian 11 Risebro, Nils Henrik 10 Epshteyn, Yekaterina 10 Fogelson, Aaron L. 10 Klingenberg, Christian 10 Loubère, Raphaël 10 Mao, Dekang 10 Perthame, Benoît 10 Peskin, Charles S. 10 Puppo, Gabriella 10 Ricchiuto, Mario 10 Rider, William J. 10 Xu, Kun 10 Zhao, Hongkai 9 Banda, Mapundi Kondwani 9 Bouchut, François 9 Črnjarić-Žic, Nelida 9 D’Alessio, Sergio J. D. 9 Denaro, Filippo Maria 9 Fedkiw, Ronald P. 9 Lorenzi, Tommaso 9 Pareschi, Lorenzo 9 Pelanti, Marica 9 Qiu, Jianxian 9 Tan, Zhijun 9 Tornberg, Anna-Karin 9 Towers, John D. 9 Vázquez-Cendón, María Elena 9 Vulkov, Lubin G. 9 Warnecke, Gerald G. 9 Westerink, Joannes J. 9 Winters, Andrew R. 9 Xie, Bin 9 Yee, Helen C. 9 Zhang, Zhiyue 9 Zou, Qingsong 8 Adams, Nikolaus A. 8 Badia, Santiago 8 Berezovski, Arkadi 8 Bonaventura, Luca 8 Borthwick, Alistair G. L. 8 Chiavassa, Guillaume 8 Colella, Phillip 8 De Luna, Manuel Quezada 8 De Sterck, Hans 8 Dehghan Takht Fooladi, Mehdi 8 Delis, Argiris I. 8 Deng, Xi ...and 5,996 more Authors all top 5 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. 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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 all top 5 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) Citations by Year