- Home
- Best Scientists - Mathematics
- Russel E. Caflisch

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
43
Citations
10,326
191
World Ranking
1140
National Ranking
527

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

- Quantum mechanics
- Mathematical analysis
- Electron

Russel E. Caflisch focuses on Mathematical analysis, Nonlinear system, Boltzmann equation, Euler equations and Hybrid Monte Carlo. His research combines Stokes' law and Mathematical analysis. His Nonlinear system research integrates issues from Mechanics and Surface wave, Ground wave propagation.

His Euler equations study integrates concerns from other disciplines, such as Differential algebraic equation, Direct simulation Monte Carlo, Boltzmann relation, Independent equation and Lattice Boltzmann methods. The concepts of his Hybrid Monte Carlo study are interwoven with issues in Mathematical optimization, Monte Carlo molecular modeling and Dynamic Monte Carlo method. His research in Dynamic Monte Carlo method intersects with topics in Monte Carlo method in statistical physics, Kinetic Monte Carlo, Markov chain Monte Carlo, Statistical physics and Control variates.

- Monte Carlo and quasi-Monte Carlo methods (1273 citations)
- Valuation of mortgage-backed securities using Brownian bridges to reduce effective dimension (408 citations)
- Quasi-Monte Carlo integration (349 citations)

Russel E. Caflisch spends much of his time researching Mathematical analysis, Statistical physics, Boltzmann equation, Classical mechanics and Singularity. His research is interdisciplinary, bridging the disciplines of Nonlinear system and Mathematical analysis. His Statistical physics research is multidisciplinary, incorporating perspectives in Kinetic Monte Carlo, Monte Carlo molecular modeling, Plasma, Coulomb and Dynamic Monte Carlo method.

Within one scientific family, he focuses on topics pertaining to Monte Carlo method in statistical physics under Monte Carlo molecular modeling, and may sometimes address concerns connected to Quantum Monte Carlo. The various areas that Russel E. Caflisch examines in his Boltzmann equation study include Direct simulation Monte Carlo, Lattice Boltzmann methods and Mathematical physics. His work in Singularity addresses subjects such as Vortex sheet, which are connected to disciplines such as Curvature.

- Mathematical analysis (24.40%)
- Statistical physics (20.10%)
- Boltzmann equation (12.92%)

- Statistical physics (20.10%)
- Mathematical analysis (24.40%)
- Boltzmann equation (12.92%)

His primary areas of investigation include Statistical physics, Mathematical analysis, Boltzmann equation, Kinetic energy and Plasma. His Statistical physics research is multidisciplinary, relying on both Kinetic Monte Carlo, Direct simulation Monte Carlo, Coulomb and Reduced cost. His Direct simulation Monte Carlo research incorporates elements of Monte Carlo molecular modeling and Hybrid Monte Carlo.

In general Hybrid Monte Carlo study, his work on Monte Carlo method in statistical physics often relates to the realm of Collisionality, thereby connecting several areas of interest. His biological study spans a wide range of topics, including Basis and Eigenvalues and eigenvectors. The Boltzmann equation study combines topics in areas such as Inverse problem, Constrained optimization, Applied mathematics, Nonlinear system and Adjoint equation.

- Compressed modes for variational problems in mathematics and physics. (114 citations)
- Sparse dynamics for partial differential equations. (94 citations)
- Compressed plane waves yield a compactly supported multiresolution basis for the Laplace operator (26 citations)

- Quantum mechanics
- Mathematical analysis
- Electron

Mathematical analysis, Boltzmann equation, Statistical physics, Subgradient method and Gravitational singularity are his primary areas of study. He interconnects Yield, Eigenvalues and eigenvectors and Plane wave in the investigation of issues within Mathematical analysis. Russel E. Caflisch has included themes like Electron, Coulomb and Plasma in his Boltzmann equation study.

His Statistical physics study incorporates themes from Monte Carlo molecular modeling, Direct simulation Monte Carlo, Dynamic Monte Carlo method, Discretization and Numerical analysis. Russel E. Caflisch combines subjects such as Linear algebra, Norm, Term, Laplace's equation and Compressed sensing with his study of Subgradient method. His work deals with themes such as Euler's formula, Fluid mechanics, Fourier transform, Padé approximant and Complex plane, which intersect with Gravitational singularity.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Monte Carlo and quasi-Monte Carlo methods

Russel E. Caflisch.

Acta Numerica **(1998)**

1614 Citations

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

Russel Caflisch;William Morokoff;Art Owen.

Journal of Computational Finance **(1997)**

668 Citations

Quasi-Monte Carlo integration

William J. Morokoff;Russel E. Caflisch.

Journal of Computational Physics **(1995)**

610 Citations

Quasi-random sequences and their discrepancies

William J. Morokoff;Russel E. Caflisch.

SIAM Journal on Scientific Computing **(1994)**

530 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.

Communications in Mathematical Physics **(1998)**

388 Citations

Effective equations for wave propagation in bubbly liquids

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

Journal of Fluid Mechanics **(1985)**

362 Citations

The fluid dynamic limit of the nonlinear boltzmann equation

Russel E. Caflisch.

Communications on Pure and Applied Mathematics **(1980)**

336 Citations

Variance in the sedimentation speed of a suspension

Russel E. Caflisch;Jonathan H. C. Luke.

Physics of Fluids **(1985)**

312 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.

Communications in Mathematical Physics **(1998)**

289 Citations

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

Russel E. Caflisch;Isaac Klapper;Gregory Steele.

Communications in Mathematical Physics **(1997)**

272 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

University of California, Los Angeles

Stanford University

University of Ferrara

Université Paris Cité

California Institute of Technology

University of California, Irvine

University of Catania

Stanford University

Stanford University

Shanghai Jiao Tong University

Xi'an Jiaotong University

Czech Academy of Sciences

Texas A&M University

Universidade de São Paulo

Saint Louis University

Max Delbrück Center for Molecular Medicine

Duke University

University of Manchester

Oulu University Hospital

University of South Florida

Spanish National Research Council

Mario Negri Institute for Pharmacological Research

University of Michigan–Ann Arbor

Grenoble Alpes University

University of Queensland

University of California, Davis

Something went wrong. Please try again later.