Time-split methods for partial differential equations. - Randall J. LeVeque (1982)

Numerical methods for conservation laws (2. ed.). - Randall J. LeVeque (Birkhäuser, 1992)

Adaptive Finite Element Solution Algorithm for the Euler Equations (R. A. Shapiro). - Randall J. LeVeque (SIAM Rev., 1993)

One-Dimensional Front Tracking Based on High Resolution Wave Propagation Methods. - Randall J. LeVeque; Keh-Ming Shyue (SIAM J. Sci. Comput., 1995)

Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension. - Randall J. LeVeque; Zhilin Li 002 (SIAM J. Sci. Comput., 1997)

A Modified Fractional Step Method for the Accurate Approximation of Detonation Waves. - Christiane Helzel; Randall J. LeVeque; Gerald Warnecke (SIAM J. Sci. Comput., 2000)

Solitary Waves in Layered Nonlinear Media. - Darryl H. Yong; Randall J. LeVeque (SIAM J. Appl. Math., 2003)

H-Box Methods for the Approximation of Hyperbolic Conservation Laws on Irregular Grids. - Marsha J. Berger; Christiane Helzel; Randall J. LeVeque (SIAM J. Numer. Anal., 2003)

A Wave Propagation Method for Conservation Laws and Balance Laws with Spatially Varying Flux Functions. - Derek S. Bale; Randall J. LeVeque; Sorin Mitran; James A. Rossmanith (SIAM J. Sci. Comput., 2003)

An Immersed Interface Method for Incompressible Navier-Stokes Equations. - Long Lee; Randall J. LeVeque (SIAM J. Sci. Comput., 2003)

A High-Resolution Rotated Grid Method for Conservation Laws with Embedded Geometries. - Christiane Helzel; Marsha J. Berger; Randall J. LeVeque (SIAM J. Sci. Comput., 2005)

High-Resolution Finite Volume Methods for Dusty Gas Jets and Plumes. - Marica Pelanti; Randall J. LeVeque (SIAM J. Sci. Comput., 2006)

Finite difference methods for ordinary and partial differential equations - steady-state and time-dependent problems. - Randall J. LeVeque (SIAM, 2007)

Logically Rectangular Grids and Finite Volume Methods for PDEs in Circular and Spherical Domains. - Donna A. Calhoun; Christiane Helzel; Randall J. LeVeque (SIAM Rev., 2008)

Python Tools for Reproducible Research on Hyperbolic Problems. - Randall J. LeVeque (Comput. Sci. Eng., 2009)

Tsunami modelling with adaptively refined finite volume methods. - Randall J. LeVeque; David L. George; Marsha J. Berger (Acta Numer., 2011)

A Well-Balanced Path-Integral f-Wave Method for Hyperbolic Problems with Source Terms. - Randall J. LeVeque (J. Sci. Comput., 2011)

Reproducible Research for Scientific Computing: Tools and Strategies for Changing the Culture. - Victoria Stodden; Randall J. LeVeque; Ian Mitchell 001 (Comput. Sci. Eng., 2012)

High-Order Wave Propagation Algorithms for Hyperbolic Systems. - David I. Ketcheson; Matteo Parsani; Randall J. LeVeque (SIAM J. Sci. Comput., 2013)

High-Resolution Finite Volume Modeling of Wave Propagation in Orthotropic Poroelastic Media. - Grady I. Lemoine; Miao-Jung Yvonne Ou; Randall J. LeVeque (SIAM J. Sci. Comput., 2013)

Clawpack: building an open source ecosystem for solving hyperbolic PDEs. - Kyle T. Mandli; Aron J. Ahmadia; Marsha J. Berger; Donna A. Calhoun; David L. George; Yiannis Hadjimichael; David I. Ketcheson; Grady I. Lemoine; Randall J. LeVeque (PeerJ Comput. Sci., 2016)

The Clawpack 5.x software. - Kyle T. Mandli; Aron J. Ahmadia; Marsha J. Berger; Donna A. Calhoun; David L. George; Yiannis Hadjimichael; David I. Ketcheson; Grady I. Lemoine; Randall J. LeVeque (PeerJ Prepr., 2016)

Computational and In Vitro Studies of Blast-Induced Blood-Brain Barrier Disruption. - Mauricio J. Del Razo; Yoichi Morofuji; James S. Meabon; B. Russell Huber; Elaine R. Peskind; William A. Banks; Pierre D. Mourad; Randall J. LeVeque; David G. Cook (SIAM J. Sci. Comput., 2016)

A High-Resolution Finite Volume Seismic Model to Generate Seafloor Deformation for Tsunami Modeling. - Christopher J. Vogl; Randall J. LeVeque (J. Sci. Comput., 2017)

Numerical Methods for Interface Coupling of Compressible and Almost Incompressible Media. - Mauricio J. Del Razo; Randall J. LeVeque (SIAM J. Sci. Comput., 2017)

Accelerating wave-propagation algorithms with adaptive mesh refinement using the Graphics Processing Unit (GPU). - Xinsheng Qin; Randall J. LeVeque; Michael R. Motley (CoRR, 2018)

Transport Reversal for Model Reduction of Hyperbolic Partial Differential Equations. - Donsub Rim; Scott Moe; Randall J. LeVeque (SIAM/ASA J. Uncertain. Quantification, 2018)

Efficient Tsunami Modeling on Adaptive Grids with Graphics Processing Units (GPUs). - Xinsheng Qin; Randall J. LeVeque; Michael R. Motley (CoRR, 2019)

A Path-Integral Method for Solution of the Wave Equation with Continuously Varying Coefficients. - Jithin D. George; David I. Ketcheson; Randall J. LeVeque (SIAM J. Appl. Math., 2019)

Analysis and Performance Evaluation of Adjoint-guided Adaptive Mesh Refinement for Linear Hyperbolic PDEs Using Clawpack. - Brisa N. Davis; Randall J. LeVeque (ACM Trans. Math. Softw., 2020)

Towards Adaptive Simulations of Dispersive Tsunami Propagation from an Asteroid Impact. - Marsha J. Berger; Randall J. LeVeque (CoRR, 2021)

On the performance of sequential Bayesian update for database of diverse tsunami scenarios. - Reika Nomura; Louise A. Hirao Vermare; Saneiki Fujita; Donsub Rim; Shuji Moriguchi; Randall J. LeVeque; Kenjiro Terada (CoRR, 2024)

Implicit Adaptive Mesh Refinement for Dispersive Tsunami Propagation. - Marsha J. Berger; Randall J. LeVeque (SIAM J. Sci. Comput., 2024)