Scenario Superposition Method for Real-Time Tsunami
Prediction Using a Bayesian Approach
by S. Fujita, R. Nomura, S. Moriguchi, Y. Otake, R.J. LeVeque,
and K. Terada,
J. Geophys. Res. Oceans 129, e2023EA003144 (2024)
Info/Download
Comparative Performance of Scenario Superposition by Sequential
Bayesian Update for Tsunami Risk Evaluation
by
R. Nomura, L.A. Hirao Vermare, S. Fujita, D. Rim,
S. Moriguchi, R. J. LeVeque, K. Terada,
J. Disaster Research 19 (2024), pp. 896-911
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On the performance of sequential Bayesian update for database of
diverse tsunami scenarios
by
R. Nomura, L.A. Hirao Vermare, S. Fujita, D. Rim,
S. Moriguchi, R. J. LeVeque, K. Terada,
preprint, 2024.
Info/Download
Hawaiian legends of coastal devastation and paleotsunami
reconstruction, Nu'u, Kaupō, Maui, Hawai'i
by S. Fisher, J. Goff, A. Cundy, D. Sear, J. Terry, R.J.
LeVeque, L.M. Adams, Marine Geology 447 (2024)
Info/Download
Implicit Adaptive Mesh Refinement for Dispersive Tsunami
Propagation
by M. J. Berger and R. J. LeVeque,
SIAM J. Sci. Comput. 46 (2024) pp. B554 - B578.
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Possible Mechanisms for Tsunami-like Surge Deposits Due to the
Chicxulub Impact at the K-Pg Boundary at the Tanis Site, North Dakota
by R.J. LeVeque, R.A. DePalma, C. Garrision-Laney, S. Maurya, J. Smit, and
M.A. Richards,
J. Geophys. Res. 129 (2024)
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Optimization of a Tsunami Gauge Configuration for
Pseudo-Super-Resolution of Wave Height Distribution
by S. Fujita, R. Nomura, S. Moriguchi, Y. Otake, S. Koshimura, R.J. LeVeque,
and K. Terada,
Earth and Space Science 11, e2023EA003144 (2024).
Info/Download
A Stability Analysis of Neural Networks and Its Application to Tsunami
Early Warning
by D. Rim, S. Suri, S. Hong, K. Lee, and R.J. LeVeque
JGR: Machine Learning and Computation 1
(2024) e2024JH000223.
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Sequential Bayesian Update to Detect the Most Likely Tsunami Scenario
Using Observational Wave Sequences
by R. Nomura, S. Fujita, J. M. Galbreath, Y. Otake, S. Moriguchi, S.
Koshimura, R. J. LeVeque, and K. Terada
J. Geophys. Res. Oceans 2022.
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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
Info/Download
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
Info/Download
Maritime Tsunami Hazard Assessment for the
Port of Bellingham, Washington - Technical Report
by C. Garrison-Laney, R.J. LeVeque, and L.M. Adams, 2021
Info/Download
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.
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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.
Info/Download
Modeling Study of a Proposed Vertical Evacuation Structure Site for
the Shoalwater Bay Tribe. Final Report
by L.M. Adams, F. I. Gonzalez, R. J. LeVeque, 2020.
Info/Download
Preliminary Modeling Study of a Vertical Evacuation Structure Site
for the Aberdeen School District
by L.M. Adams, F. I. Gonzalez, Randall J. LeVeque, 2020.
Info/Download
Advances of International Collaboration on M9 Disaster Science:
Scientific Session Report
by E. Maly, K. Terada, R.J. LeVeque,
K. D. 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
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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.
Info/Download
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
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Issues Encountered with ASCE Compatibility Criteria
by L.M. Adams, Frank I. Gonzalez, Randall J. LeVeque, 2019.
Info/Download
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
Info/Download
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
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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
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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
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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.
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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.
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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
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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.
Info/Download
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
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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.
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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,
Info/Download
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.
Info/Download
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.
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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.
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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.
Info/Download
GeoClaw Model Tsunamis Compared to Tide Gauge Results -- Final Report
by L. M. Adams and R. J. LeVeque
Info/Download
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.
Info/Download
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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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
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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
Info/Download
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.
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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 121 (2016), 6658-6674.
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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,
The Subduction Zone Observatory Workshop, Boise, 2016.
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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.
Info/Download
Tsunami Hazard Assessment of the Strait of Juan de Fuca
by Frank I. Gonzalez, Randall J. LeVeque, Loyce M. Adams, 2015.
Info/Download
Adjoint Methods for Guiding Adaptive Mesh Refinement in Wave
Propagation Problems
by Brisa N. Davis and R. J. LeVeque
Info/Download
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
Info/Download
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.
Info/Download
Tsunami Hazard Assessment of the Ocosta School Site in Westport, WA
by Frank I. Gonzalez, Randall J. LeVeque, Loyce M. Adams, 2013.
Info/Download
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.
Info/Download
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 SIAM News, 2013.
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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).
Info/Download
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.
Info/Download
Shock Dynamics in Layered Periodic Media
by David I Ketcheson, Randall J. LeVeque
Info/Download
High-order Wave Propagation Algorithms for Hyperbolic Systems
by David I. Ketcheson, Matteo Parsani, Randall J. LeVeque
Info/Download
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.)
Info/Download
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.
Info/Download
The dynamics of pressureless dust clouds and delta waves
by R. J. LeVeque,
J. Hyperbolic
Differential Equations, Vol 1 (2004), pp. 315-327.
Info/Download
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.
Info/Download
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.
Info/Download
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.
Info/Download
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.
Info/Download
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.
Info/Download
Some Traffic Flow Models Illustrating Interesting Hyperbolic Behavior
by R. J. LeVeque, technical report, July, 2001.
Info/Download
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.
Info/Download
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.
Info/Download
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.
Info/Download
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.
Info/Download
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.
Info/Download
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.
Info/Download
Wave propagation algorithms for multi-dimensional hyperbolic systems
by R. J. LeVeque
J. Comput. Phys., 131 (1997), pp. 327-353.
Info/Download
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.
Info/Download
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.
Info/Download
High-Resolution Conservative Algorithms for Advection in
Incompressible Flow
by Randall LeVeque,
SIAM J. Numer. Anal., 33 (1996), 627-665
Info/Download
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.
Info/Download
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.
Info/Download
An adaptive Cartesian mesh algorithm for the Euler equations in
arbitrary geometries
by M. Berger and R. LeVeque,
AIAA-89-1930, 1989
Info/Download
High resolution finite volume methods on arbitrary grids via wave
propagation
R. J. LeVeque,
J. Comput. Phys., 78 (1988), 36-63.
Info/Download
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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Time-Split Methods for Partial Differential Equations.
by Randall J. LeVeque. PhD Dissertation, Stanford University, 1982.
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Linear Difference Equations and Matrix Theorems
by
Germund Dahquist and Randall LeVeque, KTH Lecture Notes, 1981.
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A test problem for kidney models
by R. Mejia, J.L. Stephenson, R.J. LeVeque
Math. Biosci. 50 (1980), pp. 129-131
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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.