- Books and Lecture Notes
- CV and publication list (pdf file)
- Google Scholar profile
- Papers and reviews on MathSciNet
- Theses written by my students.
- Slides/video from some talks.

**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,
To appear in Natural Hazards, 2014.

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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* 2014

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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,* to be published by Springer.

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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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**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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**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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**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. 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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**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.