2026 Randall J. LeVeque: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	62	452	378	233	182	218	36609

Research.com Recognitions

2013 - Fellow of the American Mathematical Society
2010 - SIAM Fellow For contribution to numerical analysis and scientific computing, particularly for conservation laws.

Overview

Randall J. LeVeque is affiliated with the University of Washington in the United States. Their research primarily spans the fields of Earth and Planetary Sciences and Computer Science, with a notable focus on Geophysics and Artificial Intelligence, supported by activities in Computational Mechanics, Atmospheric Science, and Environmental Engineering.

LeVeque's work covers several specialized topics, including:

Earthquake and tectonic studies
Seismology and earthquake studies
Seismic imaging and inversion techniques
Target tracking and data fusion in sensor networks
Earthquake detection and analysis
Geology and paleoclimatology research
Computational fluid dynamics and aerodynamics

Recent publications illustrate a strong engagement with tsunami forecasting and hazard assessment, employing advanced computational and machine learning methods. Recent papers include:

"Comparison of Machine Learning Approaches for Tsunami Forecasting from Sparse Observations," 2021, Pure and Applied Geophysics
"A Source Clustering Approach for Efficient Inundation Modeling and Regional Scale Probabilistic Tsunami Hazard Assessment," 2020, Frontiers in Earth Science
"Tsunami Early Warning From Global Navigation Satellite System Data Using Convolutional Neural Networks," 2022, Geophysical Research Letters
"Multiscale evaluation method of the drag effect on shallow water flow through coastal forests based on 3D numerical simulations," 2021, International Journal for Numerical Methods in Fluids
"Sequential Bayesian Update to Detect the Most Likely Tsunami Scenario Using Observational Wave Sequences," 2022, Journal of Geophysical Research Oceans

LeVeque frequently publishes in venues such as arXiv (Cornell University), Journal of Geophysical Research Oceans, Journal of Disaster Research, Zenodo (CERN European Organization for Nuclear Research), and Pure and Applied Geophysics.

They have collaborated extensively with several coauthors, who include Kenjiro Terada, Reika Nomura, Shuji Moriguchi, Donsub Rim, and Saneiki Fujita.

In addition to research articles, Randall J. LeVeque has contributed to book publications, including "Riemann Problems and Jupyter Solutions," published by the Society for Industrial and Applied Mathematics in 2020.

Their contributions have been recognized through awards such as the SIAM Fellow in 2010 for contributions to numerical analysis and scientific computing, particularly conservation laws, and as a Fellow of the American Mathematical Society since 2013.

Best Publications

Finite Volume Methods for Hyperbolic Problems

Randall J. LeVeque

9360
Citations
Numerical methods for conservation laws

Randall J. LeVeque

6192
Citations
Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-dependent Problems

Randall J. LeVeque

2686
Citations
the immersed interface method for elliptic equations with discontinuous coefficients and singular sources

Randall J. Leveque;Zhilin Li

1911
Citations
Balancing Source Terms and Flux Gradients in High-Resolution Godunov Methods

Randall J. LeVeque

1179
Citations
High-resolution conservative algorithms for advection in incompressible flow

Randall J. LeVeque

959
Citations
Wave Propagation Algorithms for Multidimensional Hyperbolic Systems

Randall J. LeVeque

822
Citations
Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension

Randall J. LeVeque;Zhilin Li

641
Citations
A study of numerical methods for hyperbolic conservation laws with stiff source terms

R. J. LeVeque;H. C. Yee

621
Citations
Approximate Riemann Solvers

Randall J. LeVeque

573
Citations
An Immersed Interface Method for Incompressible Navier-Stokes Equations

Long Lee;Randall J. LeVeque

479
Citations
Algorithms for Computing the Sample Variance: Analysis and Recommendations

Tony F. Chan;Gene H. Golub;Randall J. Leveque

441
Citations
Tsunami modelling with adaptively refined finite volume methods

Randall J. LeVeque;David L. George;Marsha J. Berger

404
Citations
Adaptive Mesh Refinement Using Wave-Propagation Algorithms for Hyperbolic Systems

Marsha J. Berger;Randall J. LeVeque

403
Citations
A Wave Propagation Method for Conservation Laws and Balance Laws with Spatially Varying Flux Functions

Derek S. Bale;Randall J. LeVeque

400
Citations
Analysis of a one-dimensional model for the immersed boundary method

R. P. Beyer;R. J. Leveque

359
Citations
On the Accuracy of Stable Schemes for 2d Scalar Conservation Laws

Jonathan B. Goodman;Randall J. LeVeque

321
Citations
Probabilistic Tsunami Hazard Analysis: Multiple Sources and Global Applications

Anita Grezio;Andrey Babeyko;Maria Ana Baptista;Jörn Behrens

273
Citations
Updating formulae and a pairwise algorithm for computing sample variances

Tony F. Chan;Gene H. Golub;Randall J. LeVeque

258
Citations
4. Iterative Methods for Sparse Linear Systems

Randall J. LeVeque

54
Citations
Finite Volume Methods for Hyperbolic Problems: Characteristics and Riemann Problems for Linear Hyperbolic Equations

Randall J. LeVeque

0
Citations

Frequent Co-Authors

Marsha Berger New York University

Lloyd N. Trefethen University of Oxford

Katharine W. Huntington University of Washington

Paul Bodin University of Washington

William S. D. Wilcock University of Washington

Finn Løvholt Norwegian Geotechnical Institute

Diego Melgar University of Oregon

Andrey Babeyko Helmholtz Centre Potsdam - GFZ German Research Centre for Geosciences

Tom Parsons United States Geological Survey

John R. Delaney University of Washington

External Links

Wikipedia of Randall J. LeVeque Personal website of Randall J. LeVeque Google Scholar page

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