Russel E. Caflisch
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American mathematician and academic
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Russel E. Caflischmathematics Degrees
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Mathematics
Russel E. Caflisch's Degrees
- PhD Mathematics University of California, Berkeley
- Bachelors Mathematics University of California, Berkeley
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Why Is Russel E. Caflisch Influential?
(Suggest an Edit or Addition)According to Wikipedia, Russel E. Caflisch is an American mathematician. Biography Caflisch is Director of the Courant Institute of Mathematical Sciences at New York University , and a Professor in the Mathematics Department. Russel Edward Caflisch was born in Charleston, West Virginia. He received his bachelor's degree from Michigan State University in 1975. He earned a master's degree and Ph.D. in Mathematics from the Courant Institute of Mathematical Sciences at New York University. His dissertation was titled "The Fluid Dynamic Limit and Shocks for a Model Boltzmann Equation." He has also held faculty positions at Stanford and NYU. He has served as PhD advisor for 22 students, with 55 descendants. Up until August 2017, Caflisch was the director of the Institute for Pure & Applied Mathematics and a professor in the Mathematics department, where he also held a joint appointment in the department of Materials Science and Engineering.
Russel E. Caflisch's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Monte Carlo and quasi-Monte Carlo methods (1998) (1687)
- Quasi-Monte Carlo integration (1995) (479)
- Valuation of mortgage-backed securities using Brownian bridges to reduce effective dimension (1997) (466)
- Zero Viscosity Limit for Analytic Solutions of the Navier-Stokes Equation on a Half-Space.¶ II. Construction of the Navier-Stokes Solution (1998) (403)
- Quasi-Random Sequences and Their Discrepancies (1994) (399)
- Zero Viscosity Limit for Analytic Solutions, of the Navier-Stokes Equation on a Half-Space.¶I. Existence for Euler and Prandtl Equations (1998) (387)
- Effective equations for wave propagation in bubbly liquids (1985) (290)
- The fluid dynamic limit of the nonlinear boltzmann equation (1980) (269)
- Remarks on Singularities, Dimension and Energy Dissipation for Ideal Hydrodynamics and MHD (1997) (267)
- Variance in the sedimentation speed of a suspension (1985) (197)
- The milne and kramers problems for the boltzmann equation of a hard sphere gas (1986) (189)
- A Level Set Approach for the Numerical Simulation of Dendritic Growth (2003) (182)
- Compressed modes for variational problems in mathematics and physics (2013) (181)
- Uniformly Accurate Schemes for Hyperbolic Systems with Relaxation (1997) (179)
- Smoothness and dimension reduction in Quasi-Monte Carlo methods (1996) (178)
- Sparse dynamics for partial differential equations (2012) (160)
- Singular solutions and ill-posedness for the evolution of vortex sheets (1989) (152)
- Global existence, singular solutions, and ill‐posedness for the Muskat problem (2004) (127)
- Shock profile solutions of the Boltzmann equation (1982) (114)
- The Boltzmann equation with a soft potential (1980) (114)
- The Boltzmann equation with a soft potential (1980) (110)
- The fluid‐dynamical limit of a nonlinear model boltzmann equation (1979) (96)
- Level-set method for island dynamics in epitaxial growth (2002) (94)
- Singularity formation during Rayleigh–Taylor instability (1993) (92)
- A quasi-Monte Carlo approach to particle simulation of the heat equation (1993) (90)
- Wave propagation in bubbly liquids at finite volume fraction (1985) (82)
- Singularity formation for complex solutions of the 3D incompressible Euler equations (1993) (81)
- Dynamic Theory of Suspensions with Brownian Effects (1983) (80)
- Long time existence for a slightly perturbed vortex sheet (1986) (77)
- Island dynamics and the level set method for epitaxial growth (1999) (76)
- A level set method for thin film epitaxial growth (2001) (75)
- Level-set methods for the simulation of epitaxial phenomena (1998) (75)
- An Implicit Monte Carlo Method for Rarefied Gas Dynamics (1999) (65)
- Nonlinear dynamical theory of the elastica (1984) (64)
- Mathematical aspects of vortex dynamics (1989) (64)
- Kinetic model for a step edge in epitaxial growth. (1999) (62)
- Navier-stokes and boltzmann shock profiles for a model of gas dynamics (1979) (59)
- Existence and Singularities for the Prandtl Boundary Layer Equations (2000) (59)
- Convergence of the vortex method for vortex sheets (1989) (54)
- Modified Monte Carlo Methods Using Quasi-Random Sequences (1995) (50)
- Multi-valued solutions and branch point singularities for nonlinear hyperbolic or elliptic systems (1993) (49)
- Particle simulation of Coulomb collisions: Comparing the methods of Takizuka & Abe and Nanbu (2007) (45)
- Periodic solutions for three sedimenting spheres (1988) (42)
- Compressed plane waves yield a compactly supported multiresolution basis for the Laplace operator (2014) (41)
- The collapse of an axi-symmetric, swirling vortex sheet (1993) (40)
- A simplified version of the abstract Cauchy-Kowalewski theorem with weak singularities (1990) (38)
- Singularities in fluids, plasmas and optics (1993) (38)
- Equilibrium for radiation in a homogeneous plasma (1986) (37)
- Analysis of Island Dynamics in Epitaxial Growth of Thin Films (2003) (37)
- A numerical study of Riemann problem solutions and stability for a system of viscous conservation laws of mixed type (1991) (35)
- Pricing and Hedging American-Style Options: A Simple Simulation-Based Approach (2009) (35)
- Level set approach to reversible epitaxial growth. (2001) (33)
- Stability of shock waves for the Broadwell equations (1988) (33)
- Lagrangian theory for 3D vortex sheets with axial or helical symmetry (1992) (31)
- Pole dynamics and oscillations for the complex Burgers equation in the small-dispersion limit (1996) (30)
- Theory of strain relaxation in heteroepitaxial systems (2003) (29)
- Level set simulation of directed self-assembly during epitaxial growth (2006) (28)
- Quasi-Monte Carlo Simulation of Random Walks in Finance (1998) (27)
- Calculation of complex singular solutions to the 3D incompressible Euler equations (2007) (26)
- Capture numbers in rate equations and scaling laws for epitaxial growth (2003) (26)
- A localized approximation method for vortical flow (1990) (26)
- Navier-Stokes equations on an exterior circular domain: construction of the solution and the zero viscosity limit* (1997) (25)
- Rate equations and capture numbers with implicit islands correlations (2001) (25)
- Multiscale modeling for epitaxial growth (2006) (24)
- Beyond the Child-Langmuir limit. (2011) (23)
- Quench front propagation (1981) (23)
- Multilevel Monte Carlo simulation of Coulomb collisions (2013) (22)
- Time-Step Considerations in Particle Simulation Algorithms for Coulomb Collisions in Plasmas (2009) (21)
- PDEs with Compressed Solutions (2013) (21)
- A Multiscale Method for Epitaxial Growth (2011) (21)
- A Hybrid Method for Accelerated Simulation of Coulomb Collisions in a Plasma (2007) (21)
- A nonlinear approximation for vortex sheet evolution and singularity formation (1990) (20)
- The challenges in guided self-assembly of Ge and InAs quantum dots on Si (2006) (20)
- A localized approximation method for vortical flows (1990) (18)
- An inverse problem for Toeplitz matrices and the synthesis of discrete transmission lines (1981) (17)
- Understanding the accuracy of Nanbu's numerical Coulomb collision operator (2009) (16)
- Higher-order time integration of Coulomb collisions in a plasma using Langevin equations (2011) (16)
- Submonolayer growth in the presence of defect sites (2004) (15)
- Monte Carlo methods for American options (2004) (15)
- Fluid dynamics and the Boltzmann equation (1984) (15)
- Towards a Hybrid Monte Carlo Method for Rarefied Gas Dynamics (2004) (14)
- Parallel Tempering For The Traveling Salesman Problem (2009) (13)
- Influence of edge diffusion on the growth mode on vicinal surfaces (2005) (13)
- Vortex layers in the small viscosity limit (2006) (13)
- A Semi-Analytic Approach to Euler Singularities (2004) (13)
- Thermal Layer Solutions of the Boltzmann Equation (1985) (13)
- Direct simulation Monte Carlo schemes for Coulomb interactions in plasmas (2010) (12)
- Asymptotic expansions of solutions for the Boltzmann equation (1987) (12)
- Growth, Structure and Pattern Formation for Thin Films (2008) (12)
- A Monte Carlo method with negative particles for Coulomb collisions (2015) (12)
- The half-space problem for the boltzmann equation at zero temperature (1985) (11)
- Optimal capping layer thickness for stacked quantum dots. (2008) (11)
- ASYMPTOTIC ANALYSIS OF THE LINEARIZED NAVIER–STOKES EQUATION ON AN EXTERIOR CIRCULAR DOMAIN: EXPLICIT SOLUTION AND THE ZERO VISCOSITY LIMIT (2001) (11)
- Compressed plane waves - compactly supported multiresolution basis for the Laplace operator (2013) (10)
- On the Support of Compressed Modes (2017) (10)
- Exact Artificial Boundary Conditions for Continuum and Discrete Elasticity (2006) (10)
- Almost optimal convergence of the point vortex method for vortex sheets using numerical filtering (1999) (10)
- Different aspects of the milne problem (based on energy estimates) (1987) (9)
- Modeling, Design, and Optimization of a Solid State Electron Spin Qubit (2005) (9)
- Waves in Bubbly Liquids (1986) (9)
- Atomic size effects in continuum modeling. (2001) (8)
- Global existence for a nonlinear theory of bubbly liquids (1985) (8)
- Optimal pricing, use and exploration of uncertain natural resources (1994) (8)
- The elastic field of a surface step: the Marchenko-Parshin formula in the linear case (2006) (8)
- Compressed Wannier modes found from an $L_1$ regularized energy functional (2014) (7)
- An application of multigrid methods for a discrete elastic model for epitaxial systems (2006) (7)
- Fast Computation of Upper Bounds for American-Style Options Without Nested Simulation (2010) (7)
- Regularized Euler-$$\alpha $$α motion of an infinite array of vortex sheets (2017) (6)
- Vortex Layers of Small Thickness (2020) (6)
- Wave propagation in a Bubbly Liquid (1986) (6)
- Anisotropic Step Stiffness from a Kinetic Model of Epitaxial Growth (2007) (6)
- Island Dynamics and Level Set Methods for Continuum Modeling of Epitaxial Growth (2000) (5)
- Asymptotics of the Boltzmann Equation and Fluid Dynamics (1988) (5)
- Distortion of the arterial pulse (1980) (5)
- An entropy based thermalization scheme for hybrid simulations of Coulomb collisions (2013) (5)
- Analysis and simulation for a model of electron impact excitation/deexcitation and ionization/recombination (2015) (5)
- Characterizing equilibrium in epitaxial growth (2012) (5)
- A hybrid method that interpolates between DSMC and CFD (2006) (4)
- Detection of complex singularities for a function of several variables (2013) (4)
- Regularized Euler- α motion of an infinite array of vortex sheets (2016) (4)
- Adjoint DSMC for nonlinear Boltzmann equation constrained optimization (2020) (4)
- Simulation with Fluctuating and Singular Rates (2013) (4)
- Geometry of singularities for the steady Boussinesq equations (1996) (4)
- Complex singularity analysis for vortex layer flows (2021) (3)
- Strain in layered nanocrystals (2005) (3)
- Atomistic and Continuum Elastic Effects in Heteroepitaxial Systems (2002) (3)
- Monte Carlo Simulation for American Options (2004) (3)
- Non-Local Scattering Kernel and the Hydrodynamic Limit (2007) (3)
- Long time existence and singularity formation for vortex sheets (1988) (3)
- The sound of a singularity (1989) (3)
- Level Set Methods, with an Application to Modeling the Growth of Thin Films (2019) (3)
- Multiple domain dynamics simulated with coupled level sets (2003) (3)
- Island-Size Distributions for Submonolayer Epitaxy: Rate Equations and Beyond (1998) (2)
- Special Section on Multiscale Materials Modeling (2009) (2)
- Nonlinear analysis for the evolution of vortex sheets (1988) (2)
- Erratum: Time-step Considerations in Particle Simulation Algorithms for Coulomb Collisions in Plasmas [B.I. Cohen, A. M. Dimits, A. Friedman, and R. E. Caflisch, IEEE Trans. Plasma Sci. 38, 2394 (2010)] (2010) (2)
- An hybrid method for the Boltzmann equation (2016) (2)
- Projection to the Set of Shift Orthogonal Functions (2014) (2)
- Steady buoyant droplets with circulation (1998) (2)
- Monte Carlo simulation of excitation and ionization collisions with complexity reduction (2017) (2)
- Lateral alloy segregation in thin heteroepitaxial films (2008) (2)
- A Discrete Elastic Model for Epitaxial Systems and the Force Field at a Step ∗ (2003) (1)
- Asymptotic Analysis of a Slightly Rarefied Gas with Nonlocal Boundary Conditions (2011) (1)
- Accelerated simulation methods for plasma kinetics (2016) (1)
- Modeling, Simulation, and Design for a Customizable Electrodeposition Process (2009) (1)
- Mathematical aspects of vortex dynamics; Proceedings of the Workshop, Leesburg, VA, Apr. 25-27, 1988 (1989) (1)
- Adjoint DSMC for Nonlinear Spatially-Homogeneous Boltzmann Equation With a General Collision Model (2022) (1)
- Planar boundary value problems for rarefied gases (1987) (1)
- Level Set Methods for Simulation of Thin Film Growth (2005) (1)
- Compressed modes for variational problems in mathematical physics and compactly supported multiresolution basis for the Laplace operator (2014) (1)
- Efficient Hybrid Methods for the Simulation of Plasmas with Coulomb Collisions (2011) (1)
- Calculation of complex singular solutions to the 3 D incompressible (2009) (1)
- Calculation of the Trubnikov and Nanbu Collision Kernels: Implications for Numerical Modeling of Coulomb Collisions (2008) (1)
- Evaluation of a Function at Infinity from Its Power Series (1981) (1)
- ARTIFICIAL BOUNDARY CONDITIONS FOR ATOMISTIC STRAIN MODELS (2005) (1)
- Complex singularities for burgers' equation with complex viscosity and asymptotic approximations of the zeros of fourier integrals (1994) (0)
- Hibrid Monte Carlo Methods for fluid and plasma dynamcis (2008) (0)
- A level-set method for self-organized pattern formation during heteroepitaxial growth (2007) (0)
- Two Phase Flows and Waves (Daniel D. Joseph and David G. Schaeffer, eds.) (1992) (0)
- Stochastic Modelling of a Dilute Fluid-Particle Suspension (1987) (0)
- Corrections to “Time-Step Considerations in Particle Simulation Algorithms for Coulomb Collisions in Plasmas” [Sep 10 2394-2406] (2011) (0)
- Simulation and Analysis for a Model of Excitation/Deexcitation and Ionization/Recombination in a Plasma ∗ (2014) (0)
- Strain and Structure in Nanocrystals (2005) (0)
- Steady Buoyant Droplets with Circulation and Surface Tension (1997) (0)
- Entropy-Based Accelerated Monte Carlo Methods for Coulomb Collisions (2012) (0)
- Chapter 1 MONTE CARLO SIMULATION FOR AMERICAN OPTIONS (2005) (0)
- A Compressed Sensing Approach to Signal Fragmentation (2019) (0)
- The level-set method for modeling epitaxial growth (2002) (0)
- Strained Epitaxial Growth on Pits, Mounds, and Films (2003) (0)
- A Level-Set Method for Epitaxial Growth and Self-Organization of Quantum Dots (2006) (0)
- FINAL TECHNICAL REPORT Analytic and Numerical Methods for Epitaxial Growth and Computer Aided Design Grant #DAAD19-02-1-0336 Grant Period: 8/1/02 - 1/31/06 (0)
- Finding Symmetry-adapted Wannier Functions from $L_1$ Sparse Optimization (2015) (0)
- Generic singularities for the steady Boussinesq equations (1997) (0)
- Singularity Formation for Models of Axi-Symmetric Swirling Flow (1993) (0)
- Analysis and Computation for Vortex Dynamics and Rarefied Gases (1992) (0)
- Martingales and upper bounds for American-style options (2015) (0)
- Sparse Representation of Wannier functions from L 1 regulariztion (2018) (0)
- A ug 2 01 4 PDES WITH COMPRESSED SOLUTIONS (0)
- Critical Thickness for Misfit Dislocation Formation in InAs/GaAs(110) Heteroepitaxy (2008) (0)
- Center for Analysis of Heterogeneous and Nonlinear Media (1989) (0)
- Modeling and Numerical Methods for Material Growth and Convection (2001) (0)
- Rarefied gas dynamics and Monte Carlo methods (1995) (0)
- Singularity formation for vortex sheets and hyperbolic equations (1991) (0)
- Analytic and Numerical Methods for Epitaxial Growth and Computer Aided Design (2006) (0)
- Nonlinear and Stochastic Numerical Methods and Their Applications (1994) (0)
- Symmetry-adapted Wannier Functions from $L_1$ regularized Sparse Optimization (2016) (0)
- A Hybrid Monte Carlo Method for Coulomb Collisions (2007) (0)
- Coarse-grained Monte Carlo simulation of excitation and ionization collisions (2016) (0)
- A double quantum well single charge electrometer (2002) (0)
- Accelerated Monte Carlo Methods for Coulomb Collisions (2008) (0)
- Calculation Of The Nanbu-Trubnikov Kernel: Implications For Numerical Modeling Of Coulomb Collisions (2008) (0)
- Electrostatically driven plasma hydrodynamic instability. I. The failure of vacuum-insulated, long wavelength laser fusion pellets (1977) (0)
- Hybrid Simulation of Plasma Boundary Problems (2006) (0)
- Simulation of sheath problems with an accelerated Monte Carlo method (2007) (0)
- Efficient hybrid algorithms for collisional plasma simulation (2008) (0)
- Hybrid Simulation of Ion Acoustic Waves Including Coulomb Collisions (2007) (0)
- The effect of inhomogenous diffusion on the formation of quantum dots (2005) (0)
- Growth and Pattern Formation for Thin Films (2008) (0)
- Accelerated Simulation of Kinetic Transport Using Variational Principles and Sparsity (2017) (0)
- Vortex Dynamics (P. G. Saffman) (1994) (0)
- Multiscale Mathematics For Plasma Kinetics Spanning Multiple Collisionality Regimes (2015) (0)
- Singularities for Complex Hyperbolic Equations (2018) (0)
- Geometric control of kinetic pathways : Characterizing equilibrium in epitaxial growth (2011) (0)
- Implicit Numerical Methods for Kinetic Equations (1993) (0)
- Accuracy, Efficiency and Optimization of Signal Fragmentation (2020) (0)
- Zero-viscosity Limit of Burgers' Equation (0)
- A Hybrid Model for Multiscale Laser Plasma Simulations with Detailed Collisional Physics (2015) (0)
- Electron confinement and correlation in double quantum well single charge electrometers (2002) (0)
- QUASI-RANDOM SEQUENCESAND THEIR DISCREPANCIES* (1994) (0)
- Computational Tools, Methods & Software Overview (2016) (0)
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