Randall J. LeVeque -- Recent publications and preprints
Books and Lecture Notes
CV and publication list (pdf file)
ImpactStory profile
Papers and reviews on MathSciNet
Papers on the arXiv
Theses written by my students ... by me.
Slides/video from some talks.
Multiscale evaluation method of the drag effect on shallow water flow through coastal forests based on 3D numerical simulations
by R. Nomura, S. Takase, S. Moriguchi, K. Terada, and R.J. LeVeque, Int. J. Numer. Meth. Fluids 2021
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Towards Adaptive Simulations of Dispersive Tsunami Propagation from an Asteroid Impact
by M. J. Berger and R. J. LeVeque, Submitted to Proc. International Congress of Mathematicians, 2022
Comparison of Machine Learning Approaches for Tsunami Forecasting from Sparse Observations
by C.M. Liu, D. Rim, R. Baraldi, and R.J. LeVeque, Pure Appl. Geophys. (2021), DOI 10.1007/s00024-021-02841-9
Maritime Tsunami Hazard Assessment for the Port of Bellingham, Washington - Technical Report
by C. Garrison-Laney, R.J. LeVeque, and L.M. Adams, 2021
Writing an Interactive Textbook
by David I. Ketcheson, Randall J. LeVeque, and Mauricio J. del Razo SIAM News Vol 54, Number 1, January/February 2021.
A Source Clustering Approach for Efficient Inundation Modeling and Regional Scale Probabilistic Tsunami Hazard Assessment
by A.L. Williamson, D. Rim, L.M. Adams, R.J. LeVeque, D. Melgar, and F.I. Gonzalez, Frontiers in Earth Science, 2020.
Modeling Study of a Proposed Vertical Evacuation Structure Site for the Shoalwater Bay Tribe. Final Report
by L.M. Adams, Frank I. Gonzalez, Randall J. LeVeque, 2020.
Preliminary Modeling Study of a Vertical Evacuation Structure Site for the Aberdeen School District
Advances of International Collaboration on M9 Disaster Science: Scientific Session Report
by E. Maly, K. Terada, R.J. LeVeque, K. Daniel B. Abramson, L.T. Nguyen, A. Bostrom, J. Leon, M. Motley, P. A. Catalan, S. Koshimura, S. Moriguchi, Y. Yamaguchi, C. Garrison-Laney, A. Suppasri, and E. Mas, J. Disaster Res. 15(2020) pp. 890-899
Earthquake and Tsunami Early Warning on the Cascadia Subduction Zone: A Feasibility Study for an Offshore Geophysical Monitoring Network.
by D.W. Schmidt, D.W. Wilcock, R. LeVeque, F. Gonzalez, G. Gram, D. Manalang, M. Harrington, E. Roland, and P. Bodin, University of Washington, 2019, 81 pp.
The Geomorphic Impact of Outburst Floods: Integrating Observations and Numerical Simulations of the 2000 Yigong Flood, Eastern Himalaya
by M. D. Turzewski, K. W. Huntington, and R. J. LeVeque JGR Earth Surface, 2019, doi:10.1029/2018JF004778
Issues Encountered with ASCE Compatibility Criteria
Efficient Tsunami Modeling on Adaptive Grids with Graphics Processing Units (GPUs)
by X. Qin, R. J. LeVeque, and M. Motley, To appear in Journal of Advances in Modeling Earth Systems, 2019
Shoaling on Steep Continental Slopes: Relating Transmission and Reflection Coefficients to Green's Law
by J. D. George, D. I. Ketcheson, and R. J. LeVeque, Pure and Applied Geophysics, 2019. doi:10.1007/s00024-019-02316-y
A path integral method for solution of the wave equation with continuously-varying coefficients
by J. D. George, D. I. Ketcheson, and R. J. LeVeque, SIAM J. Appl. Math. 79 (2019), pp. 2615-2638
A characteristics-based approximation for wave scattering from an arbitrary obstacle in one dimension
by J. D. George, D. I. Ketcheson, and R. J. LeVeque, preprint, 2019
Tsunami Hazard Assessment of Whatcom County, Washington, Project Report
by L.M. Adams, R.J. LeVeque, and F.I. Gonzalez, Submitted to Washington State Emergency Management Division and Department of Natural Resources, November, 2018.
Tsunami Hazard Assessment of Bainbridge Island, Washington Project Report
by V.V. Titov, D. Arcas, C.W. Moore, R.J. LeVeque, L.M. Adams, and F.I. Gonzalez, Submitted to Washington State Emergency Management Division and Department of Natural Resources, November, 2018.
Tsunami Hazard Assessment of Snohomish County, Washington, Project Report
by R.J. LeVeque, F.I. Gonzalez, and L.M. Adams, Submitted to Washington State Emergency Management Division and Department of Natural Resources, Version 2. October, 2018
Developing a Warning System for Inbound Tsunamis from the Cascadia Subduction Zone
by R.J. LeVeque, P. Bodin, G. Cram, B.W. Crowell, F.I. Gonzalez, M. Harrington, D. Manalang, D. Melgar, D.A. Schmidt, J.E. Vidale, C.J. Vogl, and W.S.D. Wilcock, Oceans 2018 conference.
Modeling Issues in Asteroid-Generated Tsunamis
by M.J. Berger and R.J. LeVeque NASA Technical Memorandum NASA/CR-2018-219786, ARC-E-DAA-TN53167, 2018
Analysis and Performance Evaluation of Adjoint-Guided Adaptive Mesh Refinement for Linear Hyperbolic PDEs Using Clawpack
by B. N. Davis and R. J. LeVeque, Transactions on Mathematical Software (TOMS) 46 (2020), pp. 26:1-26:28.
A comparison of a two-dimensional depth-averaged flow model and a three-dimensional RANS model for predicting tsunami inundation and fluid forces
by X. S. Qin, M. R. Motley, R. J. LeVeque, F. Gonzalez, and K. Mueller, Nat. Hazards Earth Syst. Sci., 18 (2018) , pp. 2489-2506,
Accelerating wave-propagation algorithms with adaptive mesh refinement using the Graphics Processing Unit (GPU)
by X. Qin, R. J. LeVeque, and M. R. Motley, Submitted, 2018.
Transport Reversal for Model Reduction of Hyperbolic Partial Differential Equations
by D. Rim, S. Moe, and R. J. LeVeque SIAM/ASA Journal on Uncertainty Quantification 6(2018), pp. 118-150.
Offshore Geophysical Monitoring of Cascadia for Early Warning and Hazards Research,
by Schmidt, D. A., W. Wilcock, P. Bodin, F. Gonzalez, M. Harrington, R.J. LeVeque, D. Manalang, E. Roland, and J. Vidale (2018), Workshop Report, Seattle WA, April 3-5, 2017.
Probabilistic Tsunami Hazard Analysis: Multiple Sources and Global Applications,
by A. Grezio, A. Babeyko, M. A. Baptista, J. Behrens, et al. Reviews of Geophysics 55 (2017), pp. 1158-1198.
GeoClaw Model Tsunamis Compared to Tide Gauge Results -- Final Report
by L. M. Adams and R. J. LeVeque
A High-Resolution Finite Volume Seismic Model to Generate Seafloor Deformation for Tsunami Modeling
by C. J. Vogl and R. J. LeVeque, J. Sci. Comput. 2017, DOI 10.1007/s10915-017-0459-y.
Probabilistic Source Selection for the Cascadia Subduction Zone. Results from a study supported by FEMA Region IX
by Loyce M. Adams, Randall J. LeVeque, Donsub Rim, and Frank I. Gonzalez, Project Report, 2017.
A Boussinesq type extension of the GeoClaw model - a study of wave breaking phenomena applying dispersive long wave models
by J. Kim, G. K. Pedersen, and F. Lovholt, and R. J. LeVeque, Coastal Engineering 122 (2017), pp. 75-86.
Assessing Tsunami Risk to Karachi Port through Simulation of Currents that were Reportedly Produced there by the 1945 Makran Tsunami
by H. Hasan, H.A. Lodhi, R.J. LeVeque, S.H. Lodi, and S. Ahmed, 16th World Conference on Earthquake, 16WCEE 2017, Santiago Chile, January 9th to 13th 2017
Designing an offshore geophysical network in the Pacific Northwest for earthquake and tsunami early warning and hazard research
by W. S. D. Wilcock, D. A. Schmidt, J. E. Vidale, et al. Oceans 2016 DOI 10.1109/OCEANS.2016.7761291
Clawpack: building an open source ecosystem for solving hyperbolic PDEs
by Kyle T. Mandli, Aron J. Ahmadia, Marsha Berger, Donna Calhoun, David L. George, Yiannis Hadjimichael, David I. Ketcheson, Grady I. Lemoine, Randall J. LeVeque. PeerJ Computer Science 2 (2016) e68.
Kinematic rupture scenarios and synthetic displacement data: An example application to the Cascadia subduction zone
by Diego Melgar, R. J. LeVeque, Douglas S. Dreger, Richard M. Allen J. Geophys. Res. -- Solid Earth 121 (2016), 6658-6674.
Sustained Offshore Geophysical Monitoring in Cascadia
by William S. D. Wilcock, David A. Schmidt, John E. Vidale, Michael J. Harrington, Paul Bodin, Geoffrey S. Cram, John R. Delaney, Frank I. Gonzalez, Heidi Houston, Deborah S. Kelley, Randall J. LeVeque, Dana A. Manalang, Chuck McGuire, Emily C. Roland, Mark W. Stoermer, James W. Tilley, and Christopher J. Vogl, The Subduction Zone Observatory Workshop, Boise, 2016.
Adjoint Methods for Guiding Adaptive Mesh Refinement in Tsunami Modeling
by Brisa N. Davis and R. J. LeVeque, Pure Appl. Geophys., 2016.
Generating Random Earthquake Events for Probabilistic Tsunami Hazard Assessment
by R. J. LeVeque, K. Waagan, F. I. Gonzalez, D. Rim, and G. Lin, Pure Appl. Geophys., 2016. DOI 10.1007/s00024-016-1357-1.
Observations and Modelling of Tsunami Currents at the Port of Tauranga, New Zealand,
by J. C. Borerro, R. J. LeVeque, S. D. Greer, S. O'Neill, and B. N. Davis,
Australasian Coasts & Ports Conference 2015: 22nd Australasian Coastal and Ocean Engineering Conference and the 15th Australasian Port and Harbour Conference.
Tsunami Hazard Assessment of the Strait of Juan de Fuca
by Frank I. Gonzalez, Randall J. LeVeque, Loyce M. Adams, 2015.
Adjoint Methods for Guiding Adaptive Mesh Refinement in Wave Propagation Problems
by Brisa N. Davis and R. J. LeVeque
Computational and in vitro studies of blast-induced blood-brain barrier disruption
by 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, Submitted, 2015.
Computational study of shock waves propagating through air-plastic-water interfaces
by Mauricio J. Del Razo and R. J. LeVeque, 2015.
Probabilistic Tsunami Hazard Assessment (PTHA) for Crescent City, CA. Final Report
by Frank I. Gonzalez, Randall J. LeVeque, Loyce M. Adams, Chris Goldfinger, George R. Priest, and Kelin Wang
The pattern method for incorporating tidal uncertainty into probabilistic tsunami hazard assessment (PTHA)
by L. M. Adams, R. J. LeVeque and F. I. Gonzalez, Natural Hazards 76(2015), pp. 19-39.
Tsunami Hazard Assessment of the Elementary School Berm Site in Long Beach, WA
Tsunami Hazard Assessment of the Ocosta School Site in Westport, WA
Probabilistic Tsunami Hazard Assessment (PTHA) for Crescent City, CA. Final Report for Phase I
by Frank I. Gonzalez, Randall J. LeVeque, Loyce M. Adams, February, 2013.
Setting the Default to Reproducible: Reproducibility in Computational and Experimental Mathematics
Developed collaboratively by the ICERM workshop participants,
Compiled and edited by the Organizers: V. Stodden, D. H. Bailey, J. Borwein, R. J. LeVeque, W. Rider, and W. Stein, February, 2013.
Top Ten Reasons to Not Share Your Code (and why you should anyway)
by R. J. LeVeque, To appear in SIAM News, 2013.
Validating Velocities in the GeoClaw Tsunami Model using Observations Near Hawaii from the 2011 Tohoku Tsunami
by M. E. M. Arcos and R. J. LeVeque, Pure and Applied Geophysics 172(2015), pp. 849-867.
Tsunami Modeling,
by R. J. LeVeque, to appear in the Princeton Companion to Applied Mathematics (N. J. Higham, Editor).
Reproducible Research for Scientific Computing: Tools and Strategies for Changing the Culture
by R.J. LeVeque and I. Mitchell and V. Stodden Computing in Sci. and Eng. 14 (2012), 13-17.
High-Resolution Finite Volume Modeling of Wave Propagation in Orthotropic Poroelastic Media
by Grady I. Lemoine, M. Yvonne Ou, Randall J. LeVeque SIAM J. Sci. Comput. 35 (2013), B176-B206.
Comparison of earthquake source models for the 2011 Tohoku event using tsunami simulations and near field observations
by Breanyn T MacInnes, Aditya Riadi Gusman, Randall J LeVeque, Yuichiro Tanioka. Bulletin of the Seismological Society of America, 103(2013), pp. 1256-1274.
Reproducibility: Methods
by Randall J. LeVeque Encyclopedia of Applied and Computational Mathematics, (Björn Engquist, Editor) 2015. ISBN 978-3-540-70528-4.
Tsunami modeling with adaptively refined finite volume methods
by R.J. LeVeque, D.L. George, and M.J. Berger Acta Numerica (2011), pp. 211-289.
Shock Dynamics in Layered Periodic Media
by David I Ketcheson, Randall J. LeVeque
High-order Wave Propagation Algorithms for Hyperbolic Systems
by David I. Ketcheson, Matteo Parsani, Randall J. LeVeque
Computational Models of Material Interfaces for the Study of Extracorporeal Shock Wave Therapy
by K. M. Fagnan, R. J. LeVeque and T. J. Matula, Comm. App. Math. and Comp. Sci. 8 (2013), pp. 159-194.
Reproducible Research: Addressing the Need for Data and Code Sharing in Computational Science.
by Yale Law School Roundtable on Data and Code Sharing, Computing in Science and Engineering (CiSE) 12(2010), pp. 8-13.
Universality in the run-up of shock waves to the surface of a star
by Carsten Gundlach and Randall J Leveque. J. Fluid Mech., 676 (2011), pp. 237 - 264 .
The GeoClaw software for depth-averaged flows with adaptive refinement
by M. J. Berger, D. L. George, R. J. LeVeque, and K. T. Mandli Advances in Water Resources 34 (2011), pp. 1195-1206.
A Well-Balanced Path-Integral f-wave Method for Hyperbolic Problems with Source Terms
by Randall J. LeVeque, To appear in a Special Issue of the Journal of Scientific Computing 48(2010), pp. 209-226.
Special issue for the proceedings of NumHyp2009, a workshop on Numerical approximations of hyperbolic systems with source terms and applications, Castro-Urdiales, Spain, 2009
Thoughts for the Roundtable on "Data and Code Sharing in the Computational Sciences",
by Randall J. LeVeque, Information Society Project, Yale Law School, 2009.
Logically Rectangular Finite Volume Methods with Adaptive Refinement on the Sphere
by M. J. Berger and D. A. Calhoun, and C. Helzel, and R. J. LeVeque Phil. Trans. R. Soc. A (2009) 367, 4483-4496.
CSE 2009: Python for Scientific Computing at CSE 2009
by F. Perez, H. P. Langtangen, and R. LeVeque SIAM News 42, Number 5, June 15, 2009.
Python Tools for Reproducible Research on Hyperbolic Problems
by R. J. LeVeque. Computing in Science and Engineering (CiSE) 11(2009), pp. 19-27. (Special issue on reproducible research.)
Two-layer shallow water system and its applications
by Jihwan Kim and R. J. LeVeque Proc. 12th International Conference on Hyperbolic Problems, College Park, Maryland, 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.
by J. T. Beale, D. L. Chopp, R. J. LeVeque, and Zhilin Li Comm. Appl. Math. Comput. Sci. 3 (2008), pp. 95-100.
Numerical Approximation of Stiff Reacting Flow
by Christiane Helzel and Randall J. LeVeque, to appear.
Logically Rectangular Grids and Finite Volume Methods for PDEs in Circular and Spherical Domains
by Donna A. Calhoun, Christiane Helzel, and Randall J. LeVeque, SIAM Review 50 (2008), 723-752.
WENOCLAW: A higher order wave propagation method
by D. I. Ketcheson and R. J. LeVeque, To appear in Proceedings of the Eleventh Int'l Conference on Hyperbolic Problems, Lyon, 2006.
High-resolution finite volume methods for extracorporeal shock wave therapy
by K. Fagnan and R. J. LeVeque and T. J. Matula and B. MacConaghy To appear in Proceedings of the Eleventh Int'l Conference on Hyperbolic Problems, Lyon, 2006.
High resolution methods and adaptive refinement for tsunami propagation and inundation
by D. L. George and R. J. LeVeque, To appear in Proceedings of the Eleventh Int'l Conference on Hyperbolic Problems, Lyon, 2006.
A finite volume grid for solving hyperbolic problems on the sphere
by Donna A. Calhoun, Christiane Helzel, and Randall J. LeVeque, To appear in Proceedings of the Eleventh Int'l Conference on Hyperbolic Problems, Lyon, 2006.
Finite volume methods and adaptive refinement for global tsunami propagation and local inundation
by D. L. George and R. J. LeVeque, Science of Tsunami Hazards 24(2006), pp. 319-328.
Wave Propagation Software, Computational Science, and Reproducible Research
by R. J. LeVeque, Proceedings of the International Congress of Mathematicians (M Sanz-Sole, J. Soria, J. L. Varona and J. Verdera, eds.) Madrid, August 22-30, 2006, pp. 1227-1254
High-Resolution Finite Volume Methods for Dusty Gas Jets and Plumes
by M. Pelanti and R. J. LeVeque SIAM J. Sci. Comput. 28 (2006) 1335-1360.
High-resolution finite volume methods for the shallow water equations with bathymetry and dry states
by Randall J. LeVeque and David L. George
In Advanced Numerical Models for Simulationg Tsunami Waves and Runup, P. L-F. Liu, H. Yeh, C. Synolakis, eds., Advances in Coastal and Ocean Engineering, Vol 10, pp. 43-73, World Scientific, 2007. Proceedings of the Third International Workshop on Long-Wave Runup Models, Catalina, 2004.
A high-resolution rotated grid method for conservation laws with embedded geometries
by C. Helzel, M. J. Berger, and R. J. LeVeque, SIAM J. Sci. Comput. 26 (2005), pp. 785-809.
The dynamics of pressureless dust clouds and delta waves
by R. J. LeVeque, J. Hyperbolic Differential Equations, Vol 1 (2004), pp. 315-327.
An accuracy study of mesh refinement on mapped grids
by D. Calhoun and R. J. LeVeque, Adaptive Mesh Refinement - Theory And Applications: Proceedings of the Chicago Workshop on Adaptive Mesh Refinement Methods, September, 2003. (T. Plewa, Ed.), Springer Verlag, Lecture Notes in Computational Science and Engineering, Vol. 41 (2003) pp. 91-102.
A wave propagation algorithm for hyperbolic systems on curved manifolds,
by J. A. Rossmanith, D. S. Bale, and R. J. LeVeque J. Comput. Phys. 199 (2004), pp. 631-662.
H-box methods for the approximation of one-dimensional conservation laws on irregular grids
by M. J. Berger, C. Helzel and R. J. LeVeque SIAM J. Numer. Anal., 41 (2003), pp. 893-918.
Immersed Interface Methods for Incompressible Navier-Stokes Equations,
by Long Lee and R. J. LeVeque, SIAM J. Sci. Comput., 25 (2003), pp. 832-856.
Moving-Mesh Methods for One-Dimensional Hyperbolic Problems Using CLAWPACK
by R. Fazio and R. J. LeVeque Computers and Mathematics with Applications 45 (2003) 273-298.
Solitary Waves in Layered Nonlinear Media
by Randall J. LeVeque and Darryl H. Yong, SIAM J. Appl. Math., 63 (2003), pp. 1539-1560.
A wave-propagation method for conservation laws with spatially varying flux functions,
by D. S. Bale, R. J. LeVeque, S. Mitran, and J. A. Rossmanith, SIAM J. Sci. Comput 24 (2002), 955-978.
Phase Plane Behavior of Solitary Waves in Nonlinear Layered Media
by R. J. LeVeque and D. H. Yong, Proceedings of the 9'th Intl. Conf. on Hyperbolic Problems: Theory, Numerics, Applications , Caltech, (T. Hou and E. Tadmor, eds.) Springer, 2002, pp. 43-51.
Finite-volume methods for non-linear elasticity in heterogeneous media
by R. J. LeVeque Int. J. Numer. Meth. Fluids 40(2002), pp. 93-104.
Wave-Propagation Methods and Software for Complex Applications
by Randall J. LeVeque and Sorin Mitran. To appear in the Proceedings of the Third International Symposium on Finite Volumes for Complex Applications, Porquerolles, France, June, 2002.
Some Traffic Flow Models Illustrating Interesting Hyperbolic Behavior
by R. J. LeVeque, technical report, July, 2001.
Finite Volume Methods for Nonlinear Elasticity in Heterogeneous Media
by R. J. LeVeque, Proceedings of the ICFD Conference on Numerical Methods for Fluid Dynamics, Oxford University, March, 2001.
A Class of Approximate Riemann Solvers and Their Relation to Relaxation Schemes
by R. J. LeVeque and M. Pelanti J. Comput. Phys. , 172 (2001), 572-591.
A Modified Fractional Step Method for the Accurate Approximation of Detonation Waves
by C. Helzel, R. J. LeVeque, and G. Warnecke, SIAM J. Sci. Comput., 22 (2000) 1489-1510.
Fractional step methods applied to a chemotaxis model
by Rebecca Tyson, L.G. Stern, and Randall J. LeVeque Journal of Mathematical Biology , 41 (2000), pp. 455-475.
A wave propagation method for three-dimensional hyperbolic conservation laws
by Jan Olav Langseth and R. J. LeVeque, J. Comput. Phys. 165 (2000) pp. 126-166.
Cartesian Grid Methods for Fluid Flow in Complex Geometries,
by R. J. LeVeque and D. Calhoun, Appears in "Computational Modeling in Biological Fluid Dynamics", (L. J. Fauci and S. Gueron, eds.) IMA Volumes in Mathematics and its Applications 124, pp. 117-143, Springer-Verlag, 2001. (Proceedings of an IMA Workshop January, 1999.)
Solving the advection-diffusion equation in irregular geometries
by D. Calhoun and R. J. LeVeque J. Comput. Phys., 156(2000) pp. 1-38.
High-resolution finite volume methods for acoustics in periodic or random media
by T. R. Fogarty and R. J. LeVeque, J. Acoust. Soc. Amer. 106 (1999) pp. 17-28.
Crack jump conditions for elliptic problems
by A. Wiegmann, Z. Li, and R. J. LeVeque Applied Mathematics Letters, 12,6 (1999), pp. 81-86
Adaptive Mesh Refinement Using Wave-Propagation Algorithms for Hyperbolic Systems
by Marsha J. Berger and Randall J. LeVeque SIAM J. Numer. Anal., 35(1998), pp. 2298-2316.
Balancing Source Terms and Flux Gradients in High-Resolution Godunov Methods: The Quasi-Steady Wave-Propagation Algorithm
by Randall J. LeVeque J. Comput. Phys., 146 (1998) 346-365.
Wave propagation methods for conservation laws with source terms
by R. J. LeVeque and D. S. Bale Proc. 7'th Intl. Conf. on Hyperbolic Problems, (M. Fey, R. Jeltsch, eds.) Birkhauser Verlag, 1998, p. 609-618.
Wave propagation algorithms for multi-dimensional hyperbolic systems
by R. J. LeVeque J. Comput. Phys., 131 (1997), pp. 327-353.
Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension
by R. J. LeVeque and Z. Li SIAM J. Sci. Comput 18(1997), p.. 709-735.
Two-Dimensional Front Tracking Based on High Resolution Wave Propagation Methods
by Randall J. LeVeque and Keh-Ming Shyue, J. Comput. Phys., 123 (1996), 354-368.
High-Resolution Conservative Algorithms for Advection in Incompressible Flow
by Randall LeVeque, SIAM J. Numer. Anal., 33 (1996), 627-665
The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
by R. J. LeVeque and Z. Li SIAM J. Numer. Anal., 31(1994), pp. 1019-1044
Finite Volume Methods for Irregular One-Dimensional Grids
by M. J. Berger, R. J. LeVeque, and L. G. Stern, Proc. Symp. Appl. Math., 48 (1994) 255-259.
A Linear Hyperbolic System with Stiff Source Terms
by R. J. LeVeque and J. Wang (Wang Jinghua), in Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects (A. Donato and F. Oliveri, Eds.), Proceedings of the Fourth Int'l Conference on Hyperbolic Problems, Taormina, Italy, 1992, 401-408.
Analysis of a one-dimensional model for the immersed boundary method
by R. P. Beyer and R. J. LeVeque SIAM J. Numer. Anal. 29(1992), pp. 332-364.
A Rotated Difference Scheme for Cartesian Grids in Complex Geometries
by M. Berger and R. J. LeVeque, AIAA Paper CP-91-1602, 1991
Stable boundary conditions for Cartesian grid calculations,
by M. Berger and R. J. LeVeque, Computing Systems in Engineering, 1 (1990) 305-311.
Cartesian meshes and adaptive mesh refinement for hyperbolic partial differential equations
by M. Berger and R. J. LeVeque, Proc. Third Int'l Conf. Hyperbolic Problems, Uppsala (B. Engquist and B. Gustafsson, editors), Studentlitteratur, Lund, 1990, pp. 67-73.
An adaptive Cartesian mesh algorithm for the Euler equations in arbitrary geometries
by M. Berger and R. LeVeque, AIAA-89-1930, 1989
High resolution finite volume methods on arbitrary grids via wave propagation
R. J. LeVeque, J. Comput. Phys., 78 (1988), 36-63.
Cartesian grid methods for flow in irregular regions
R. J. LeVeque, Num. Meth. Fl. Dyn. III (K. W. Morton and M. J. Baines, eds.), 1988, pp. 375-382.
A geometric approach to high resolution TVD schemes
by J. B. Goodman and R. J. LeVeque SIAM J. Numer. Anal. 25(1988), pp. 268-284.
Intermediate boundary conditions for LOD, ADI, and approximate factorization methods
by R. J. LeVeque ICASE Report 85-21, NASA-CR-172591, NASA Langley Research Center, 1985
Time-Split Methods for Partial Differential Equations.
by Randall J. LeVeque. PhD Dissertation, Stanford University, 1982.
Linear Difference Equations and Matrix Theorems
by Germund Dahquist and Randall LeVeque, KTH Lecture Notes, 1981.
Extensions and Uses of the Variable Projection Algorith for Solving Nonlinear Least Squares Problems
by G. H. Golub and R. J. LeVeque, ARO Report 79-3, Proceedings of the 1979 Army Numerical Analsysis and Computers Conference
This page is still under construction.
Older papers tend to appear only if someone requests it, so please send me a note if you're looking for something that's not here.
CV and publication list (pdf file) gives a more complete listing of publications.