- Books and Lecture Notes
- CV and publication list (pdf file)
- ORCID: 0000-0003-1384-4504
- Google Scholar profile
- ImpactStory profile
- Papers and reviews on MathSciNet
- Papers on the arXiv
- Theses written by my students.
- Slides/video from some talks.

**A High-Resolution Finite Volume Seismic Model to Generate Seafloor
Deformation for Tsunami Modeling
**

by C. J. Vogl and R. J. LeVeque, Submitted 2017.

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**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.

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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.

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**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*, 2016.

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**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

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**Adjoint Methods for Guiding Adaptive Mesh Refinement in Tsunami Modeling
**

by Brisa N. Davis and R. J. LeVeque,
*Pure Appl. Geophys.*, 2016.

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**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.

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**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.

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**Tsunami Hazard Assessment of the Strait of Juan de Fuca
**

by Frank I. Gonzalez, Randall J. LeVeque, Loyce M. Adams, 2015.

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**Adjoint Methods for Guiding Adaptive Mesh Refinement in Wave
Propagation Problems
**

by Brisa N. Davis and R. J. LeVeque

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**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.

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**Computational study of shock waves propagating through
air-plastic-water interfaces
**

by Mauricio J. Del Razo and R. J. LeVeque, 2015.

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**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

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**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.

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**Tsunami Hazard Assessment of the Elementary School Berm Site in Long
Beach, WA
**

by Frank I. Gonzalez, Randall J. LeVeque, Loyce M. Adams, 2013.

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**Tsunami Hazard Assessment of the Ocosta School Site in Westport, WA
**

by Frank I. Gonzalez, Randall J. LeVeque, Loyce M. Adams, 2013.

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**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.

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**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.

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**Top Ten Reasons to Not Share Your Code
(and why you should anyway)
**

by R. J. LeVeque, To appear in

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**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.

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**Tsunami Modeling,
**

by R. J. LeVeque, to appear in the
*Princeton Companion to Applied Mathematics* (N. J. Higham, Editor).

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**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.

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**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.

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**
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.

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**Reproducibility: Methods
**

by Randall J. LeVeque
*Encyclopedia of Applied and Computational
Mathematics,* (Björn Engquist, Editor) 2015. ISBN 978-3-540-70528-4.

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**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.

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**Shock Dynamics in Layered Periodic Media
**

by David I Ketcheson, Randall J. LeVeque

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**High-order Wave Propagation Algorithms for Hyperbolic Systems
**

by David I. Ketcheson, Matteo Parsani, Randall J. LeVeque

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**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.

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**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.

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**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 .

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**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.

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**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

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**Thoughts for the Roundtable on
"Data and Code Sharing in the Computational Sciences",
**

by Randall J. LeVeque,
Information Society Project, Yale Law School, 2009.

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**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.

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**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.

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**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.)

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by Jihwan Kim and R. J. LeVeque

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by J. T. Beale, D. L. Chopp, R. J. LeVeque, and Zhilin Li

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by Christiane Helzel and Randall J. LeVeque, to appear.

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by Donna A. Calhoun, Christiane Helzel, and Randall J. LeVeque, SIAM Review 50 (2008), 723-752.

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by D. I. Ketcheson and R. J. LeVeque, To appear in Proceedings of the Eleventh Int'l Conference on Hyperbolic Problems, Lyon, 2006.

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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.

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by D. L. George and R. J. LeVeque, To appear in Proceedings of the Eleventh Int'l Conference on Hyperbolic Problems, Lyon, 2006.

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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.

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by D. L. George and R. J. LeVeque,

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**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

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**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.

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**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.

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**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.

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**The dynamics of pressureless dust clouds and delta waves
**

by R. J. LeVeque,
*J. Hyperbolic
Differential Equations*, Vol 1 (2004), pp. 315-327.

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**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.

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**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.

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**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.

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**Immersed Interface Methods for Incompressible Navier-Stokes
Equations, **

by Long Lee and R. J. LeVeque,
*SIAM J. Sci. Comput.*, 25 (2003), pp. 832-856.

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**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.

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**Solitary Waves in Layered Nonlinear Media
**

by Randall J. LeVeque and Darryl H. Yong,
*SIAM J. Appl. Math.*, 63 (2003), pp. 1539-1560.

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**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.

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**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.

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**Finite-volume methods for non-linear elasticity
in heterogeneous media
**

by R. J. LeVeque
*Int. J. Numer. Meth. Fluids* 40(2002), pp. 93-104.

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**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.

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**Some Traffic Flow Models Illustrating Interesting Hyperbolic Behavior
**

by R. J. LeVeque, technical report, July, 2001.

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by R. J. LeVeque, Proceedings of the ICFD Conference on Numerical Methods for Fluid Dynamics, Oxford University, March, 2001.

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**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.

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**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.

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** 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.

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**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.

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**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.)

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**Solving the advection-diffusion equation in irregular geometries
**

by D. Calhoun and R. J. LeVeque
*J. Comput. Phys.*, 156(2000) pp. 1-38.

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by T. R. Fogarty and R. J. LeVeque,

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**Crack jump conditions for elliptic problems
**

by A. Wiegmann, Z. Li, and R. J. LeVeque
*Applied Mathematics Letters*, 12,6 (1999), pp. 81-86

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** 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.

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**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.

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**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.

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** Wave propagation algorithms for multi-dimensional hyperbolic systems
**

by R. J. LeVeque
*J. Comput. Phys.*, 131 (1997), pp. 327-353.

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**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.

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**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.

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**High-Resolution Conservative Algorithms for Advection in
Incompressible Flow
**

by Randall LeVeque,
*SIAM J. Numer. Anal.*, 33 (1996), 627-665

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by R. J. LeVeque and Z. Li

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**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.

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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.

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by R. P. Beyer and R. J. LeVeque

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**A Rotated Difference Scheme for Cartesian Grids in
Complex Geometries
**

by M. Berger and R. J. LeVeque,
*AIAA Paper CP-91-1602*, 1991

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**Stable boundary conditions for Cartesian grid calculations,
**

by M. Berger and R. J. LeVeque,
*Computing Systems in Engineering*, 1 (1990) 305-311.

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**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.

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**An adaptive Cartesian mesh algorithm for the Euler equations in
arbitrary geometries
**

by M. Berger and R. LeVeque,
*AIAA-89-1930*, 1989

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**High resolution finite volume methods on arbitrary grids via wave
propagation
**

R. J. LeVeque,
*J. Comput. Phys.*, 78 (1988), 36-63.

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**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.

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**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.

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**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

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**
Linear Difference Equations and Matrix Theorems
**

by
Germund Dahquist and Randall LeVeque, KTH Lecture Notes, 1981.

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**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

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**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.