Edit Profile LeVeque, Randall J. Compute Distance To: Compute Author ID: leveque.randall-j Published as: LeVeque, R. J.; LeVeque, Randall; LeVeque, Randall J.; Leveque, R. J.; Leveque, Randall J. External Links: ORCID Documents Indexed: 98 Publications since 1979, including 6 Books 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 Evans, John W. 1 Fagnan, Kirsten 1 Fazio, Riccardo 1 Fogarty, Tiernan 1 George, Jithin D. 1 Gundlach, Christoph 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, Miao-Jung 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 Walder, Rolf 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 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 64 Partial differential equations (35-XX) 64 Numerical analysis (65-XX) 49 Fluid mechanics (76-XX) 9 Mechanics of deformable solids (74-XX) 8 Geophysics (86-XX) 7 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 86 Publications have been cited 4,853 times in 3,682 Documents Cited by ▼ Year ▼ Finite volume methods for hyperbolic problems. Zbl 1010.65040LeVeque, Randall J. 1,027 2002 Numerical methods for conservation laws. 2nd ed. Zbl 0847.65053LeVeque, Randall J. 543 1992 The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0811.65083LeVeque, Randall J.; Li, Zhilin 488 1994 Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm. Zbl 0931.76059LeVeque, Randall J. 243 1998 Numerical methods for conservation laws. Zbl 0723.65067LeVeque, Randall J. 233 1990 Finite difference methods for ordinary and partial differential equations. Steady-state and time-dependent problems. Zbl 1127.65080LeVeque, Randall J. 220 2007 A study of numerical methods for hyperbolic conservation laws with stiff source terms. Zbl 0682.76053LeVeque, R. J.; Yee, H. C. 220 1990 High-resolution conservative algorithms for advection in incompressible flow. Zbl 0852.76057LeVeque, Randall J. 219 1996 Immersed interface methods for Stokes flow with elastic boundaries or surface tension. Zbl 0879.76061LeVeque, Randall J.; Li, Zhilin 176 1997 An immersed interface method for incompressible Navier–Stokes equations. Zbl 1163.65322Lee, Long; LeVeque, Randall J. 123 2003 Wave propagation algorithms for multidimensional hyperbolic systems. Zbl 0872.76075LeVeque, Randall J. 101 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. 77 2002 Analysis of a one-dimensional model for the immersed boundary method. Zbl 0762.65052Beyer, R. P.; LeVeque, R. J. 74 1992 Adaptive mesh refinement using wave-propagation algorithms for hyperbolic systems. Zbl 0921.65070Berger, Marsha J.; LeVeque, Randall J. 64 1998 Fractional step methods applied to a chemotaxis model. Zbl 1002.92003Tyson, Rebecca; Stern, L. G.; LeVeque, Randall J. 60 2000 Solitary-wave interactions in elastic rods. Zbl 0606.73028Clarkson, Peter A.; LeVeque, Randall J.; Saxton, Ralph 58 1986 On the accuracy of stable schemes for 2D scalar conservation laws. Zbl 0592.65058Goodman, Jonathan B.; LeVeque, Randall J. 49 1985 The immersed interface method for acoustic wave equations with discontinuous coefficients. Zbl 0915.76084Zhang, Chaoming; LeVeque, Randall J. 41 1997 A wave propagation method for three-dimensional hyperbolic conservation laws. Zbl 0967.65095Langseth, Jan Olav; LeVeque, Randall J. 37 2000 Two-dimensional front tracking based on high resolution wave propagation methods. Zbl 0849.65063LeVeque, Randall J.; Shyue, Keh-Ming 37 1996 On the resolvent condition in the Kreiss matrix theorem. Zbl 0559.15018LeVeque, Randall J.; Trefethen, Lloyd N. 36 1984 A class of approximate Riemann solvers and their relation to relaxation schemes. Zbl 0988.65072LeVeque, Randall J.; Pelanti, Marica 35 2001 Wave propagation methods for conservation laws with source terms. Zbl 0927.35062LeVeque, Randall J.; Bale, Derek S. 30 1999 H-box methods for the approximation of hyperbolic conservation laws on irregular grids. Zbl 1066.65082Berger, Marsha J.; Helzel, Christiane; LeVeque, Randall J. 29 2003 High resolution finite volume methods on arbitrary grids via wave propagation. Zbl 0649.65050LeVeque, Randall J. 29 1988 A modified fractional step method for the accurate approximation of detonation waves. Zbl 0983.65105Helzel, Christiane; LeVeque, Randall J.; Warnecke, Gerald 28 2000 A Cartesian grid finite-volume method for the advection-diffusion equation in irregular geometries. Zbl 0952.65075Calhoun, Donna; LeVeque, Randall J. 27 2000 Logically rectangular grids and finite volume methods for PDEs in circular and spherical domains. Zbl 1155.65061Calhoun, Donna A.; Helzel, Christiane; LeVeque, Randall J. 26 2008 A large time step generalization of Godunov’s method for systems of conservation laws. Zbl 0584.65058LeVeque, Randall J. 26 1985 Numerical methods based on additive splittings for hyperbolic partial differential equations. Zbl 0516.65075LeVeque, Randall J.; Oliger, Joseph 24 1983 One-dimensional front tracking based on high resolution wave propagation methods. Zbl 0824.65094LeVeque, Randall J.; Shyue, Keh-Ming 22 1995 The dynamics of pressureless dust clouds and delta waves. Zbl 1079.76074LeVeque, Randall J. 21 2004 A high-resolution rotated grid method for conservation laws with embedded geometries. Zbl 1074.35071Helzel, Christiane; Berger, M. J.; LeVeque, R. J. 20 2005 A geometric approach to high resolution TVD schemes. Zbl 0645.65051Goodman, Jonathan B.; LeVeque, Randall J. 20 1988 Large time step shock-capturing techniques for scalar conservation laws. Zbl 0493.65040LeVeque, Randall J. 20 1982 High-order wave propagation algorithms for hyperbolic systems. Zbl 1264.65151Ketcheson, David I.; Parsani, Matteo; LeVeque, Randall J. 17 2013 A wave propagation algorithm for hyperbolic systems on curved manifolds. Zbl 1126.76350Rossmanith, James A.; Bale, Derek S.; LeVeque, Randall J. 17 2004 Moving-mesh methods for one-dimensional hyperbolic problems using CLAWPACK. Zbl 1035.65094Fazio, R.; LeVeque, R. J. 17 2003 Solitary waves in layered nonlinear media. Zbl 1075.74047LeVeque, Randall J.; Yong, Darryl H. 16 2003 Finite volume methods for nonlinear elasticity in heterogeneous media. Zbl 1024.74044LeVeque, Randall J. 15 2002 Algorithms for computing the sample variance: Analysis and recommendations. Zbl 0521.65098Chan, Tony F.; Golub, Gene H.; LeVeque, Randall J. 15 1983 On least squares exponential sum approximation with positive coefficients. Zbl 0424.65002Evans, John W.; Gragg, William B.; LeVeque, Randall J. 15 1980 Tsunami modelling with adaptively refined finite volume methods. Zbl 1426.76394LeVeque, Randall J.; George, David L.; Berger, Marsha J. 14 2011 Nonlinear conservation laws and finite volume methods. Zbl 0931.76052LeVeque, Randall J. 13 1998 Analysis of the SOR iteration for the 9-point Laplacian. Zbl 0662.65090Adams, Loyce M.; LeVeque, Randall J.; Young, David M. 12 1988 On the interaction of nearly equal solitons in the KdV equation. Zbl 0637.35078LeVeque, Randall J. 12 1987 Stability of Godunov’s method for a class of 2\(\times 2\) systems of conservation laws. Zbl 0561.65067LeVeque, Randall J.; Temple, Blake 12 1985 High-resolution finite volume methods for dusty gas jets and plumes. Zbl 1123.76042Pelanti, Marica; Leveque, Randall J. 11 2006 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 10 1983 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 Simplified multi-dimensional flux limiter methods. Zbl 0801.76069LeVeque, Randall J. 9 1993 Intermediate boundary conditions for time-split methods applied to hyperbolic partial differential equations. Zbl 0596.65062LeVeque, Randall J. 9 1986 High-resolution finite volume modeling of wave propagation in orthotropic poroelastic media. Zbl 1342.74173Lemoine, Grady I.; Ou, M. Yvonne; LeVeque, Randall J. 8 2013 A well-balanced path-integral f-wave method for hyperbolic problems with source terms. Zbl 1221.65233LeVeque, Randall J. 8 2011 Cartesian grid methods for fluid flow in complex geometries. Zbl 1170.92315LeVeque, Randall J.; Calhoun, Donna 8 2001 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. 7 1984 Updating formulae and a pairwise algorithm for computing sample variances. Zbl 0491.65071Chan, T. F.; Golub, Gene H.; LeVeque, Randall J. 7 1982 Transport reversal for model reduction of hyperbolic partial differential equations. Zbl 1398.65084Rim, Donsub; Moe, Scott; LeVeque, Randall J. 6 2018 Two-layer shallow water system and its applications. Zbl 1189.35230Kim, Jihwan; LeVeque, Randall J. 6 2009 Solution of a two-dimensional cochlea model with fluid viscosity. Zbl 0647.92011LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D. 6 1988 Extensions and uses of the variable projection algorithm for solving nonlinear least squares problems. Zbl 0448.65039Golub, Gene H.; LeVeque, Randall J. 6 1979 CLAWPACK – a software package for solving multi-dimensional conservation laws. Zbl 0918.35003LeVeque, Randall J. 5 1996 Grid alignment effects and rotated methods for computing complex flows in astrophysics. Zbl 0800.76347LeVeque, R. J.; Walder, R. 5 1992 Fourier analysis of the SOR iteration. Zbl 0648.65028LeVeque, Randall J.; Trefethen, Lloyd N. 5 1988 Solution of a two-dimensional cochlea model using transform techniques. Zbl 0576.76130LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D. 5 1985 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 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 WENOCLAW: A higher order wave propagation method. Zbl 1138.65084Ketcheson, D. I.; LeVeque, R. J. 4 2008 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. 4 1998 Erratum: The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0834.65099LeVeque, Randall J.; Li, Zhilin 4 1995 Numerical methods for interface coupling of compressible and almost incompressible media. Zbl 06731001Del Razo, M. J.; LeVeque, R. J. 3 2017 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. 3 2016 Shock dynamics in layered periodic media. Zbl 1273.35186Ketcheson, David I.; LeVeque, Randall J. 3 2012 Universality in the run-up of shock waves to the surface of a star. Zbl 1241.76314Gundlach, C.; Leveque, R. J. 3 2011 An accuracy study of mesh refinement on mapped grids. Zbl 1246.76112Calhoun, D.; LeVeque, R. J. 3 2005 Phase plane behavior of solitary waves in nonlinear layered media. Zbl 1134.74379LeVeque, Randall J.; Yong, Darryl H. 3 2003 High-resolution finite volume methods for acoustics in a rapidly-varying heterogeneous medium. Zbl 0973.76578Fogarty, Tiernan; LeVeque, Randall J. 3 1998 Computational study of shock waves propagating through air-plastic-water interfaces. Zbl 1382.76182Del Razo, Mauricio J.; LeVeque, Randall J. 2 2016 A finite volume grid for solving hyperbolic problems on the sphere. Zbl 1138.65066Calhoun, D.; Helzel, C.; LeVeque, R. J. 2 2008 Crack jump conditions for elliptic problems. Zbl 0958.74051Wiegmann, A.; Li, Z.; LeVeque, R. J. 2 1999 A linear hyperbolic system with stiff source terms. Zbl 0921.35086LeVeque, Randall J.; Wang, Jinghua 2 1993 Cartesian meshes and adaptive mesh refinement for hyperbolic partial differential equations. Zbl 0825.76502Berger, Marsha; LeVeque, Randall 2 1991 Wave propagation software, computational science, and reproducible research. Zbl 1100.65068LeVeque, Randall J. 1 2006 TVD schemes in one and two space dimensions. Zbl 0595.76007LeVeque, Randall J.; Goodman, Jonathan B. 1 1985 Transport reversal for model reduction of hyperbolic partial differential equations. Zbl 1398.65084Rim, Donsub; Moe, Scott; LeVeque, Randall J. 6 2018 Numerical methods for interface coupling of compressible and almost incompressible media. Zbl 06731001Del Razo, M. J.; LeVeque, R. J. 3 2017 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. 3 2016 Computational study of shock waves propagating through air-plastic-water interfaces. Zbl 1382.76182Del Razo, Mauricio J.; LeVeque, Randall J. 2 2016 High-order wave propagation algorithms for hyperbolic systems. Zbl 1264.65151Ketcheson, David I.; Parsani, Matteo; LeVeque, Randall J. 17 2013 High-resolution finite volume modeling of wave propagation in orthotropic poroelastic media. Zbl 1342.74173Lemoine, Grady I.; Ou, M. Yvonne; LeVeque, Randall J. 8 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. 3 2012 Tsunami modelling with adaptively refined finite volume methods. Zbl 1426.76394LeVeque, Randall J.; George, David L.; Berger, Marsha J. 14 2011 A well-balanced path-integral f-wave method for hyperbolic problems with source terms. Zbl 1221.65233LeVeque, Randall J. 8 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. 6 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. 26 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 WENOCLAW: A higher order wave propagation method. Zbl 1138.65084Ketcheson, D. I.; LeVeque, R. J. 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. 220 2007 High-resolution finite volume methods for dusty gas jets and plumes. Zbl 1123.76042Pelanti, Marica; Leveque, Randall J. 11 2006 Wave propagation software, computational science, and reproducible research. Zbl 1100.65068LeVeque, Randall J. 1 2006 A high-resolution rotated grid method for conservation laws with embedded geometries. Zbl 1074.35071Helzel, Christiane; Berger, M. J.; LeVeque, R. J. 20 2005 An accuracy study of mesh refinement on mapped grids. Zbl 1246.76112Calhoun, D.; LeVeque, R. J. 3 2005 The dynamics of pressureless dust clouds and delta waves. Zbl 1079.76074LeVeque, Randall J. 21 2004 A wave propagation algorithm for hyperbolic systems on curved manifolds. Zbl 1126.76350Rossmanith, James A.; Bale, Derek S.; LeVeque, Randall J. 17 2004 An immersed interface method for incompressible Navier–Stokes equations. Zbl 1163.65322Lee, Long; LeVeque, Randall J. 123 2003 H-box methods for the approximation of hyperbolic conservation laws on irregular grids. Zbl 1066.65082Berger, Marsha J.; Helzel, Christiane; LeVeque, Randall J. 29 2003 Moving-mesh methods for one-dimensional hyperbolic problems using CLAWPACK. Zbl 1035.65094Fazio, R.; LeVeque, R. J. 17 2003 Solitary waves in layered nonlinear media. Zbl 1075.74047LeVeque, Randall J.; Yong, Darryl H. 16 2003 Phase plane behavior of solitary waves in nonlinear layered media. Zbl 1134.74379LeVeque, Randall J.; Yong, Darryl H. 3 2003 Finite volume methods for hyperbolic problems. Zbl 1010.65040LeVeque, Randall J. 1,027 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. 77 2002 Finite volume methods for nonlinear elasticity in heterogeneous media. Zbl 1024.74044LeVeque, Randall J. 15 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. 60 2000 A wave propagation method for three-dimensional hyperbolic conservation laws. Zbl 0967.65095Langseth, Jan Olav; LeVeque, Randall J. 37 2000 A modified fractional step method for the accurate approximation of detonation waves. Zbl 0983.65105Helzel, Christiane; LeVeque, Randall J.; Warnecke, Gerald 28 2000 A Cartesian grid finite-volume method for the advection-diffusion equation in irregular geometries. Zbl 0952.65075Calhoun, Donna; LeVeque, Randall J. 27 2000 Wave propagation methods for conservation laws with source terms. Zbl 0927.35062LeVeque, Randall J.; Bale, Derek S. 30 1999 Crack jump conditions for elliptic problems. Zbl 0958.74051Wiegmann, A.; Li, Z.; LeVeque, R. J. 2 1999 Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm. Zbl 0931.76059LeVeque, Randall J. 243 1998 Adaptive mesh refinement using wave-propagation algorithms for hyperbolic systems. Zbl 0921.65070Berger, Marsha J.; LeVeque, Randall J. 64 1998 Nonlinear conservation laws and finite volume methods. Zbl 0931.76052LeVeque, Randall J. 13 1998 CLAWPACK and AMRCLAW – software for high-resolution Godunov methods. Zbl 0939.76571LeVeque, Randall J. 4 1998 High-resolution finite volume methods for acoustics in a rapidly-varying heterogeneous medium. Zbl 0973.76578Fogarty, Tiernan; LeVeque, Randall J. 3 1998 Immersed interface methods for Stokes flow with elastic boundaries or surface tension. Zbl 0879.76061LeVeque, Randall J.; Li, Zhilin 176 1997 Wave propagation algorithms for multidimensional hyperbolic systems. Zbl 0872.76075LeVeque, Randall J. 101 1997 The immersed interface method for acoustic wave equations with discontinuous coefficients. Zbl 0915.76084Zhang, Chaoming; LeVeque, Randall J. 41 1997 High-resolution conservative algorithms for advection in incompressible flow. Zbl 0852.76057LeVeque, Randall J. 219 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 22 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 488 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. 543 1992 Analysis of a one-dimensional model for the immersed boundary method. Zbl 0762.65052Beyer, R. P.; LeVeque, R. J. 74 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 2 1991 Numerical methods for conservation laws. Zbl 0723.65067LeVeque, Randall J. 233 1990 A study of numerical methods for hyperbolic conservation laws with stiff source terms. Zbl 0682.76053LeVeque, R. J.; Yee, H. C. 220 1990 High resolution finite volume methods on arbitrary grids via wave propagation. Zbl 0649.65050LeVeque, Randall J. 29 1988 A geometric approach to high resolution TVD schemes. Zbl 0645.65051Goodman, Jonathan B.; LeVeque, Randall J. 20 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. 5 1988 On the interaction of nearly equal solitons in the KdV equation. Zbl 0637.35078LeVeque, Randall J. 12 1987 Solitary-wave interactions in elastic rods. Zbl 0606.73028Clarkson, Peter A.; LeVeque, Randall J.; Saxton, Ralph 58 1986 Intermediate boundary conditions for time-split methods applied to hyperbolic partial differential equations. Zbl 0596.65062LeVeque, Randall J. 9 1986 On the accuracy of stable schemes for 2D scalar conservation laws. Zbl 0592.65058Goodman, Jonathan B.; LeVeque, Randall J. 49 1985 A large time step generalization of Godunov’s method for systems of conservation laws. Zbl 0584.65058LeVeque, Randall J. 26 1985 Stability of Godunov’s method for a class of 2\(\times 2\) systems of conservation laws. Zbl 0561.65067LeVeque, Randall J.; Temple, Blake 12 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. 36 1984 Convergence of a large time step generalization of Godunov’s method for conservation laws. Zbl 0592.65057LeVeque, Randall J. 7 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. 15 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 10 1983 Large time step shock-capturing techniques for scalar conservation laws. Zbl 0493.65040LeVeque, Randall J. 20 1982 Updating formulae and a pairwise algorithm for computing sample variances. Zbl 0491.65071Chan, T. F.; Golub, Gene H.; LeVeque, Randall J. 7 1982 On least squares exponential sum approximation with positive coefficients. Zbl 0424.65002Evans, John W.; Gragg, William B.; LeVeque, Randall J. 15 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 5,700 Authors 39 Li, Zhilin 34 Shu, Chi-Wang 30 Dumbser, Michael 29 Kurganov, Alexander 24 Jin, Shi 22 Mishra, Siddhartha 21 Kuzmin, Dmitri 21 LeVeque, Randall J. 20 Garcia-Navarro, Pilar 19 Toro, Eleuterio F. 19 Wei, Guowei 17 Lombard, Bruno 16 Dawson, Clint N. 16 Xing, Yulong 15 Gibou, Frédéric 15 Parés Madroñal, Carlos 15 Zhao, Shan 14 Berthon, Christophe 14 Khoo, Boo Cheong 14 Klein, Rupert 14 Lai, Mingchih 14 Seaïd, Mohammed 13 Balsara, Dinshaw S. 13 Chertock, Alina E. 13 Li, Gang 13 Lin, Tao 13 Xiao, Feng 12 Benkhaldoun, Fayssal 12 Göttlich, Simone 12 Herty, Michael Matthias 12 Lukáčová-Medvid’ová, Mária 12 Risebro, Nils Henrik 12 Shyue, Keh-Ming 12 Spijker, Marc N. 11 Breuß, Michael 11 Castro, Manuel J. 11 Hou, Songming 11 Karlsen, Kenneth Hvistendahl 11 Khalique, Chaudry Masood 11 Lin, Yanping 10 Clain, Stéphane Louis 10 Colella, Phillip 10 Epshteyn, Yekaterina 10 Fedkiw, Ronald P. 10 Loubère, Raphaël 10 Mao, Dekang 10 Noelle, Sebastian 10 Perthame, Benoît 10 Peskin, Charles S. 10 Rider, William J. 10 Wang, Liqun 10 Yee, Helen C. 10 Zhao, Hongkai 9 Bouchut, François 9 Črnjarić-Žic, Nelida 9 D’Alessio, Sergio J. D. 9 Denaro, Filippo Maria 9 Donat, Rosa 9 Fernández-Nieto, Enrique Domingo 9 Fogelson, Aaron L. 9 Griffith, Boyce E. 9 Kubatko, Ethan J. 9 LeFloch, Philippe Gerard 9 Li, Ruo 9 Nave, Jean-Christophe 9 Puppo, Gabriella 9 Tornberg, Anna-Karin 9 Towers, John D. 9 Udaykumar, Holavanahalli S. 9 Vabishchevich, Pëtr Nikolaevich 9 Vulkov, Lubin G. 9 Warnecke, Gerald G. 9 Westerink, Joannes J. 8 Abgrall, Rémi 8 Banda, Mapundi Kondwani 8 Chiavassa, Guillaume 8 Delis, Argiris I. 8 Després, Bruno 8 Feng, Jianhu 8 Guardone, Alberto 8 Guy, Robert D. 8 Hubbard, Matthew E. 8 Liu, Jun 8 Müller, Bernhard 8 Pascal, Jean-Paul 8 Pelanti, Marica 8 Ricchiuto, Mario 8 Rossmanith, James A. 8 Shi, Liwei 8 Tang, Tao 8 Vázquez-Cendón, María Elena 8 Winters, Andrew R. 8 Zou, Qingsong 7 Adams, Nikolaus A. 7 Audusse, Emmanuel 7 Berezovski, Arkadi 7 Borthwick, Alistair G. L. 7 Bürger, Raimund 7 Cai, Li 7 Caleffi, Valerio ...and 5,600 more Authors all top 5 Cited in 308 Serials 984 Journal of Computational Physics 210 Computers and Fluids 171 Journal of Scientific Computing 149 Journal of Computational and Applied Mathematics 145 Computer Methods in Applied Mechanics and Engineering 125 International Journal for Numerical Methods in Fluids 109 Applied Numerical Mathematics 100 Applied Mathematics and Computation 89 Computers & Mathematics with Applications 63 Mathematics of Computation 60 SIAM Journal on Scientific Computing 45 International Journal for Numerical Methods in Engineering 45 Numerical Methods for Partial Differential Equations 42 Journal of Fluid Mechanics 38 Applied Mathematical Modelling 34 SIAM Journal on Numerical Analysis 33 Numerische Mathematik 33 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 27 Computer Physics Communications 25 Computational Geosciences 24 Wave Motion 23 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 22 Mathematical and Computer Modelling 20 Journal of Differential Equations 20 Mathematics and Computers in Simulation 19 European Journal of Mechanics. B. Fluids 18 Physica D 18 Advances in Computational Mathematics 17 Journal of Mathematical Analysis and Applications 16 Numerical Algorithms 16 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 16 Journal of Theoretical Biology 15 Journal of Mathematical Biology 15 BIT 15 Computational Mechanics 15 Physics of Fluids 15 Mathematical Problems in Engineering 14 Bulletin of Mathematical Biology 14 Applied Mathematics Letters 14 Multiscale Modeling & Simulation 13 Mathematical Methods in the Applied Sciences 13 SIAM Journal on Applied Mathematics 13 Journal of Hyperbolic Differential Equations 11 Linear Algebra and its Applications 11 Engineering Analysis with Boundary Elements 11 International Journal of Computational Fluid Dynamics 11 Communications in Nonlinear Science and Numerical Simulation 11 International Journal of Computational Methods 10 Theoretical and Computational Fluid Dynamics 10 International Journal of Computer Mathematics 10 Networks and Heterogeneous Media 9 Journal of Engineering Mathematics 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Nonlinear Analysis. Real World Applications 9 Archives of Computational Methods in Engineering 8 Acta Mechanica 8 Mathematical Biosciences 8 Applied Mathematics and Mechanics. (English Edition) 8 Computational and Applied Mathematics 8 Journal of Applied Mathematics 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Acta Numerica 7 Archive for Rational Mechanics and Analysis 7 International Journal of Engineering Science 7 Journal of Mathematical Physics 7 Chaos, Solitons and Fractals 7 Chinese Annals of Mathematics. Series B 7 Abstract and Applied Analysis 7 Chaos 7 Kinetic and Related Models 6 Quarterly of Applied Mathematics 6 Studies in Applied Mathematics 6 Acta Applicandae Mathematicae 6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 6 Foundations of Computational Mathematics 6 Bulletin of the Brazilian Mathematical Society. New Series 6 Advances in Difference Equations 6 Discrete and Continuous Dynamical Systems. Series S 6 SMAI Journal of Computational Mathematics 5 Shock Waves 5 Computational Mathematics and Mathematical Physics 5 SIAM Journal on Mathematical Analysis 5 International Journal of Numerical Methods for Heat & Fluid Flow 5 Journal of Difference Equations and Applications 5 Discrete and Continuous Dynamical Systems 5 Computing and Visualization in Science 5 Living Reviews in Relativity 5 The ANZIAM Journal 5 Discrete and Continuous Dynamical Systems. Series B 5 Mathematical Biosciences and Engineering 5 International Journal for Numerical Methods in Biomedical Engineering 4 Communications on Pure and Applied Mathematics 4 Nonlinearity 4 Physics Letters. A 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 SIAM Journal on Control and Optimization 4 Transactions of the American Mathematical Society 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 Communications in Partial Differential Equations 4 Russian Journal of Numerical Analysis and Mathematical Modelling ...and 208 more Serials all top 5 Cited in 49 Fields 2,136 Numerical analysis (65-XX) 1,923 Fluid mechanics (76-XX) 1,342 Partial differential equations (35-XX) 309 Mechanics of deformable solids (74-XX) 255 Biology and other natural sciences (92-XX) 178 Geophysics (86-XX) 128 Classical thermodynamics, heat transfer (80-XX) 120 Statistical mechanics, structure of matter (82-XX) 85 Ordinary differential equations (34-XX) 83 Optics, electromagnetic theory (78-XX) 80 Operations research, mathematical programming (90-XX) 63 Probability theory and stochastic processes (60-XX) 52 Dynamical systems and ergodic theory (37-XX) 46 Calculus of variations and optimal control; optimization (49-XX) 40 Systems theory; control (93-XX) 38 Astronomy and astrophysics (85-XX) 38 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 35 Computer science (68-XX) 33 Statistics (62-XX) 25 Operator theory (47-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 16 Functional analysis (46-XX) 16 Mechanics of particles and systems (70-XX) 15 Approximations and expansions (41-XX) 15 Quantum theory (81-XX) 13 Relativity and gravitational theory (83-XX) 12 Integral equations (45-XX) 12 Information and communication theory, circuits (94-XX) 10 Difference and functional equations (39-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Real functions (26-XX) 7 Number theory (11-XX) 7 Functions of a complex variable (30-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Differential geometry (53-XX) 3 Combinatorics (05-XX) 3 Measure and integration (28-XX) 2 General and overarching topics; collections (00-XX) 2 Convex and discrete geometry (52-XX) 1 History and biography (01-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 1 Mathematics education (97-XX) Citations by Year