2026 Russel E. Caflisch: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	45	1433	1233	635	507	198	11804

Research.com Recognitions

2019 - Member of the National Academy of Sciences
2013 - Fellow of the American Mathematical Society
2012 - Fellow of the American Academy of Arts and Sciences
2009 - SIAM Fellow For advances in physical applied mathematics and in mathematics applied to physical systems.
1985 - Fellow of Alfred P. Sloan Foundation

Overview

Russel E. Caflisch is affiliated with the Courant Institute of Mathematical Sciences in the United States. Their research primarily spans the fields of mathematics and engineering, with a focus on applied mathematics, materials chemistry, and computational mechanics. The work also touches on statistical and nonlinear physics as well as statistics and probability.

The scientist's main topics of investigation include gas dynamics and kinetic theory, fluid dynamics and turbulent flows, and Markov chains and Monte Carlo methods. Additional topics covered in their work are advanced thermodynamics and statistical mechanics, nanopore and nanochannel transport studies, catalytic processes in materials science, and model reduction and neural networks.

Russel E. Caflisch has contributed research papers published in several reputable venues. Frequent publication venues include:

arXiv (Cornell University)
Journal of Computational Physics
Journal of Fluid Mechanics
Communications on Pure and Applied Mathematics
Journal of Scientific Computing

Notable recent papers include:

Adjoint DSMC for nonlinear Boltzmann equation constrained optimization, 2021, Journal of Computational Physics
Vortex Layers of Small Thickness, 2020, Communications on Pure and Applied Mathematics
Adjoint DSMC for nonlinear spatially-homogeneous Boltzmann equation with a general collision model, 2023, Journal of Computational Physics
Complex singularity analysis for vortex layer flows, 2021, Journal of Fluid Mechanics
Gradient-Based Monte Carlo Methods for Relaxation Approximations of Hyperbolic Conservation Laws, 2024, Journal of Scientific Computing

Frequent co-authors collaborating with Russel E. Caflisch include:

Yunan Yang
Denis A. Silantyev
M. Sammartino
Giulia Bertaglia
Lorenzo Pareschi

The scientist has been recognized with multiple honors, including:

Member of the National Academy of Sciences (2019)
Fellow of the American Mathematical Society (2013)
Fellow of the American Academy of Arts and Sciences (2012)
SIAM Fellow (2009), recognized for advances in physical applied mathematics and in mathematics applied to physical systems
Fellow of Alfred P. Sloan Foundation (1985)

Best Publications

Monte Carlo and quasi-Monte Carlo methods

Russel E. Caflisch

1881
Citations
Quasi-Monte Carlo integration

William J. Morokoff;Russel E. Caflisch

700
Citations
Valuation of mortgage-backed securities using Brownian bridges to reduce effective dimension

Russel Caflisch;William Morokoff;Art Owen

699
Citations
Quasi-random sequences and their discrepancies

William J. Morokoff;Russel E. Caflisch

566
Citations
Zero Viscosity Limit for Analytic Solutions, of the Navier-Stokes Equation on a Half-Space.I. Existence for Euler and Prandtl Equations

Marco Sammartino;Russel E. Caflisch

482
Citations
Effective equations for wave propagation in bubbly liquids

Russel E. Caflisch;Michael J. Miksis;George C. Papanicolaou;Lu Ting

413
Citations
The fluid dynamic limit of the nonlinear boltzmann equation

Russel E. Caflisch

383
Citations
Zero Viscosity Limit for Analytic Solutions of the Navier-Stokes Equation on a Half-Space. II. Construction of the Navier-Stokes Solution

Marco Sammartino;Russel E. Caflisch

364
Citations
Variance in the sedimentation speed of a suspension

Russel E. Caflisch;Jonathan H. C. Luke

324
Citations
Remarks on Singularities, Dimension and Energy Dissipation for Ideal Hydrodynamics and MHD

Russel E. Caflisch;Isaac Klapper;Gregory Steele

310
Citations
The Boltzmann equation with a soft potential. I. Linear, spatially-homogeneous

Russel E. Caflisch

263
Citations
The milne and kramers problems for the boltzmann equation of a hard sphere gas

Claude Bardos;Russel E. Caflisch;Basil Nicolaenko

247
Citations
A Level Set Approach for the Numerical Simulation of Dendritic Growth

Frédéric Gibou;Ronald Fedkiw;Russel Caflisch;Stanley Osher

240
Citations
Smoothness and dimension reduction in Quasi-Monte Carlo methods

B. Moskowitz;R. E. Caflisch

220
Citations
Uniformly Accurate Schemes for Hyperbolic Systems with Relaxation

Russel E. Caflisch;Shi Jin;Giovanni Russo

218
Citations
Sparse dynamics for partial differential equations.

Hayden Schaeffer;Russel Caflisch;Cory D. Hauck;Stanley Osher

200
Citations
Compressed modes for variational problems in mathematics and physics.

Vidvuds Ozoliņš;Rongjie Lai;Russel Caflisch;Stanley Osher

179
Citations
Global Existence, Singular Solutions, and Ill-Posedness for the Muskat Problem

Michael Siegel;Russel E. Caflisch;S. A. M. Howison

178
Citations
Singular solutions and ill-posedness for the evolution of vortex sheets

Russel E. Caflisch;Oscar F. Orellana

176
Citations
Shock profile solutions of the Boltzmann equation

Russel E. Caflisch;Basil Nicolaenko

142
Citations

Frequent Co-Authors

Stanley Osher University of California, Los Angeles

George Papanicolaou Stanford University

Frédéric Gibou University of California, Santa Barbara

Claude Bardos Université Paris Cité

Lorenzo Pareschi Heriot-Watt University

Thomas Y. Hou California Institute of Technology

John Lowengrub University of California, Irvine

Ronald Fedkiw Stanford University

Joseph B. Keller Stanford University

Michael J. Miksis Northwestern University

External Links

Wikipedia of Russel E. Caflisch Personal website of Russel E. Caflisch Google Scholar page

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