Russel E. Caflisch

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All published works

Action	Title	Year	Authors
+ PDF Chat	Gradient-Based Monte Carlo Methods for Relaxation Approximations of Hyperbolic Conservation Laws	2024	Giulia Bertaglia Lorenzo Pareschi Russel E. Caflisch
+	Adjoint Monte Carlo Method	2024	Russel E. Caflisch Yunan Yang
+	Adjoint Monte Carlo Method	2024	Russel E. Caflisch Yunan Yang
+	Adjoint DSMC for nonlinear spatially-homogeneous Boltzmann equation with a general collision model	2023	Yunan Yang Denis A. Silantyev Russel E. Caflisch
+	Gradient-based Monte Carlo methods for relaxation approximations of hyperbolic conservation laws	2023	Giulia Bertaglia Lorenzo Pareschi Russel E. Caflisch
+	Adjoint DSMC for Nonlinear Spatially-Homogeneous Boltzmann Equation With a General Collision Model	2022	Yunan Yang Denis A. Silantyev Russel E. Caflisch
+ PDF Chat	Adjoint Dsmc for Nonlinear Spatially-Homogeneous Boltzmann Equation with a General Collision Model	2022	Yunan Yang Denis A. Silantyev Russel E. Caflisch
+ PDF Chat	Adjoint DSMC for nonlinear Boltzmann equation constrained optimization	2021	Russel E. Caflisch Denis A. Silantyev Yunan Yang
+ PDF Chat	Vortex Layers of Small Thickness	2020	Russel E. Caflisch Maria Carmela Lombardo M. Sammartino
+	Singularities for Complex Hyperbolic Equations	2018	Russel E. Caflisch
+	Accelerated Simulation of Kinetic Transport Using Variational Principles and Sparsity	2017	Russel E. Caflisch
+ PDF Chat	Monte Carlo simulation of excitation and ionization collisions with complexity reduction	2017	Hai Le Bokai Yan Russel E. Caflisch Jean-Luc Cambier
+ PDF Chat	Regularized Euler- $$\alpha $$ α motion of an infinite array of vortex sheets	2016	Russel E. Caflisch Francesco Gargano M. Sammartino Vincenzo Sciacca
+	An hybrid method for the Boltzmann equation	2016	Russel E. Caflisch Giacomo Dimarco Lorenzo Pareschi
+	Accelerated simulation methods for plasma kinetics	2016	Russel E. Caflisch
+	Complex singularities and PDEs	2015	Russel E. Caflisch Francesco Gargano M. Sammartino Vincenzo Sciacca
+	A Monte Carlo method with negative particles for Coulomb collisions	2015	Bokai Yan Russel E. Caflisch
+	Complex singularities and PDEs	2015	M. Sammartino Vincenzo Sciacca Francesco Gargano Russel E. Caflisch
+ PDF Chat	PDEs with compressed solutions	2015	Russel E. Caflisch Stanley Osher Hayden Schaeffer Giang Tran
+	Monte Carlo Simulation	2015	Russel E. Caflisch
+ PDF Chat	Simulation with Fluctuating and Singular Rates	2014	Farzin Barekat Russel E. Caflisch
+ PDF Chat	European option pricing with transaction costs and stochastic volatility: an asymptotic analysis	2014	Russel E. Caflisch G. Gambino M. Sammartino Carlo Sgarra
+	Multilevel Monte Carlo simulation of Coulomb collisions	2014	Mark Rosin Lee Ricketson A. M. Dimits Russel E. Caflisch B. I. Cohen
+ PDF Chat	An entropy based thermalization scheme for hybrid simulations of Coulomb collisions	2014	Lee Ricketson Mark Rosin Russel E. Caflisch A. M. Dimits
+	Compressed modes for variational problems in mathematical physics and compactly supported multiresolution basis for the Laplace operator	2014	Vidvuds Ozoliņš Rongjie Lai Russel E. Caflisch Stanley Osher
+	Projection to the Set of Shift Orthogonal Functions	2014	Farzin Barekat Rongjie Lai Ke Yin Stanley Osher Russel E. Caflisch Vidvuds Ozoliņš
+	Compressed Wannier modes found from an $L_1$ regularized energy functional	2014	Farzin Barekat Ke Yin Russel E. Caflisch Stanley Osher Rongjie Lai Vidvuds Ozoliņš
+ PDF Chat	Compressed modes for variational problems in mathematics and physics	2013	Vidvuds Ozoliņš Rongjie Lai Russel E. Caflisch Stanley Osher
+	Detection of complex singularities for a function of several variables	2013	Kamyar Malakuti Russel E. Caflisch M. Siegel Alexander Virodov
+	Sparse dynamics for partial differential equations	2013	Hayden Schaeffer Russel E. Caflisch Cory D. Hauck Stanley Osher
+	PDEs with Compressed Solutions	2013	Russel E. Caflisch Stanley Osher Hayden Schaeffer Giang Tran
+	Higher-order Time Integration of Coulomb Collisions in a Plasma Using Langevin Equations	2012	A. M. Dimits B. I. Cohen Russel E. Caflisch Mark Rosin Lee Ricketson
+	Multiscale Mathematics For Plasma Kinetics Spanning Multiple Collisionality Regimes	2012	Russel E. Caflisch
+ PDF Chat	Beyond the Child-Langmuir limit	2012	Russel E. Caflisch Mark Rosin
+	European Option Pricing with Transaction Costs and Stochastic Volatility: an Asymptotic Analysis	2012	Russel E. Caflisch G. Gambino M. Sammartino Carlo Sgarra
+ PDF Chat	Asymptotic Analysis of a Slightly Rarefied Gas with Nonlocal Boundary Conditions	2011	Russel E. Caflisch Maria Carmela Lombardo M. Sammartino
+	Beyond the Child-Langmuir Limit	2011	Russel E. Caflisch Mark Rosin
+	Calculation of complex singular solutions to the 3D incompressible Euler equations	2009	M. Siegel Russel E. Caflisch
+	Calculation Of The Nanbu-Trubnikov Kernel: Implications For Numerical Modeling Of Coulomb Collisions	2009	A. M. Dimits B. I. Cohen C. M. Wang Russel E. Caflisch Yanghong Huang
+	Understanding the accuracy of Nanbu’s numerical Coulomb collision operator	2009	A. M. Dimits Chia-Ming Wang Russel E. Caflisch B. I. Cohen Yanghong Huang
+	Hibrid Monte Carlo Methods for fluid and plasma dynamcis	2008	Russel E. Caflisch
+	Efficient hybrid algorithms for collisional plasma simulation	2008	Yanghong Huang A. M. Dimits Russel E. Caflisch B. I. Cohen C.M. Wang
+	Calculation of the Trubnikov and Nanbu Collision Kernels: Implications for Numerical Modeling of Coulomb Collisions	2008	A. M. Dimits C Wang Russel E. Caflisch B. I. Cohen Yanghong Huang
+	Particle simulation of Coulomb collisions: Comparing the methods of Takizuka & Abe and Nanbu	2008	Chia-Ming Wang Tungyou Lin Russel E. Caflisch B. I. Cohen A. M. Dimits
+ PDF Chat	Anisotropic Step Stiffness from a Kinetic Model of Epitaxial Growth	2008	Dionisios Margetis Russel E. Caflisch
+ PDF Chat	Non-Local Scattering Kernel and the Hydrodynamic Limit	2007	Maria Carmela Lombardo Russel E. Caflisch M. Sammartino
+	Particle Simulation of Coulomb Collisions: Comparing the Methods of Takizuka & Abe and Nanbu	2007	C Wang T.Y. Lin Russel E. Caflisch B. I. Cohen A. M. Dimits
+	Anisotropic step stiffness from a kinetic model of epitaxial growth	2007	Dionisios Margetis Russel E. Caflisch
+	Hybrid Simulation of Plasma Boundary Problems	2006	A. M. Dimits B. I. Cohen Russel E. Caflisch C.M. Wang
+	A Hybrid Method that Interpolates Between DSMC and CFD	2006	Russel E. Caflisch Han Chen Erding Luo Lorenzo Pareschi
+	Monte Carlo Methods for American Options	2005	Russel E. Caflisch Suneal K. Chaudhary
+	Monte Carlo methods for American options	2004	Russel E. Caflisch Suneal K. Chaudhary
+ PDF Chat	Global existence, singular solutions, and ill‐posedness for the Muskat problem	2004	Michael Siegel Russel E. Caflisch Sam Howison
+	Towards a Hybrid Monte Carlo Method for Rarefied Gas Dynamics	2004	Russel E. Caflisch Lorenzo Pareschi
+	Monte Carlo Simulation for American Options	2004	Russel E. Caflisch Suneal K. Chaudhary
+ PDF Chat	A Semi-Analytic Approach to Euler Singularities	2004	Russel E. Caflisch Michael Siegel
+	Singularity formation for the Muskat problem	2002	Michael Siegel Russel E. Caflisch Sam Howison
+ PDF Chat	Level set approach to reversible epitaxial growth	2001	Marie Weinreich Petersen Christian Rätsch Russel E. Caflisch Andrew Zangwill
+	Modeling and Numerical Methods for Material Growth and Convection	2001	Russel E. Caflisch
+	Rate equations and capture numbers with implicit islands correlations	2001	Frédéric Gibou Christian Rätsch Mark F. Gyure S. Chen Russel E. Caflisch
+ PDF Chat	ASYMPTOTIC ANALYSIS OF THE LINEARIZED NAVIER–STOKES EQUATION ON AN EXTERIOR CIRCULAR DOMAIN: EXPLICIT SOLUTION AND THE ZERO VISCOSITY LIMIT	2001	Maria Carmela Lombardo Russel E. Caflisch M. Sammartino
+	Existence and Singularities for the Prandtl Boundary Layer Equations	2000	Russel E. Caflisch M. Sammartino
+	An Implicit Monte Carlo Method for Rarefied Gas Dynamics	1999	Lorenzo Pareschi Russel E. Caflisch
+	Zero Viscosity Limit for Analytic Solutions, of the Navier-Stokes Equation on a Half-Space.¶I. Existence for Euler and Prandtl Equations	1998	M. Sammartino Russel E. Caflisch
+	Zero Viscosity Limit for Analytic Solutions of the Navier-Stokes Equation on a Half-Space.¶ II. Construction of the Navier-Stokes Solution	1998	M. Sammartino Russel E. Caflisch
+	Island-Size Distributions for Submonolayer Epitaxy: Rate Equations and Beyond	1998	Dimitri D. Vvedensky Russel E. Caflisch Mark F. Gyure Barry Merriman Stanley Osher Christian Rätsch J. J. Zinck
+	Monte Carlo and quasi-Monte Carlo methods	1998	Russel E. Caflisch
+	Quasi-Monte Carlo Simulation of Random Walks in Finance	1998	William J. Morokoff Russel E. Caflisch
+	Generic singularities for the steady Boussinesq equations	1997	Russel E. Caflisch Nicholas M. Ercolani Gregory V. Steele
+ PDF Chat	Remarks on Singularities, Dimension and Energy Dissipation for Ideal Hydrodynamics and MHD	1997	Russel E. Caflisch Isaac Klapper Gregory V. Steele
+	Navier-Stokes equations on an exterior circular domain: construction of the solution and the zero viscosity limit	1997	Russel E. Caflisch M. Sammartino
+ PDF Chat	Uniformly Accurate Schemes for Hyperbolic Systems with Relaxation	1997	Russel E. Caflisch Shi Jin Giovanni Russo
+	Valuation of mortgage-backed securities using Brownian bridges to reduce effective dimension	1997	Russel E. Caflisch William J. Morokoff Art B. Owen
+ PDF Chat	Pole dynamics and oscillations for the complex Burgers equation in the small-dispersion limit	1996	David Senouf Russel E. Caflisch Nicholas M. Ercolani
+	Smoothness and dimension reduction in Quasi-Monte Carlo methods	1996	B.S. Moskowitz Russel E. Caflisch
+	Geometry of singularities for the steady Boussinesq equations	1996	Russel E. Caflisch Nicholas M. Ercolani Gregory V. Steele
+	Quasi-Monte Carlo Integration	1995	William J. Morokoff Russel E. Caflisch
+	Modified Monte Carlo Methods Using Quasi-Random Sequences	1995	Russel E. Caflisch B.S. Moskowitz
+ PDF Chat	Quasi-Random Sequences and Their Discrepancies	1994	William J. Morokoff Russel E. Caflisch
+	Nonlinear and Stochastic Numerical Methods and Their Applications	1994	Russel E. Caflisch
+	Vortex Dynamics (P. G. Saffman)	1994	Russel E. Caflisch
+	QUASI-RANDOM SEQUENCESAND THEIR DISCREPANCIES*	1994	William J. Morokoff Russel E. Caflisch
+	Complex singularities for burgers' equation with complex viscosity and asymptotic approximations of the zeros of fourier integrals	1994	David Senouf Russel E. Caflisch
+ PDF Chat	A Quasi-Monte Carlo Approach to Particle Simulation of the Heat Equation	1993	William J. Morokoff Russel E. Caflisch
+ PDF Chat	Singularity formation for complex solutions of the 3D incompressible Euler equations	1993	Russel E. Caflisch
+	Multi‐valued solutions and branch point singularities for nonlinear hyperbolic or elliptic systems	1993	Russel E. Caflisch Nicholas M. Ercolani Thomas Y. Hou Yelena Landis
+	Singularity Formation for Models of Axi-Symmetric Swirling Flow	1993	Russel E. Caflisch Peter Smereka
+	Implicit Numerical Methods for Kinetic Equations	1993	Giovanni Russo Russel E. Caflisch
+	Singularities in Fluids, Plasmas and Optics	1993	Russel E. Caflisch George Papanicolaou
+ PDF Chat	A Numerical Study of Riemann Problem Solutions and Stability for a System of Viscous Conservation Laws of Mixed Type	1991	Mahmoud Affouf Russel E. Caflisch
+	Singularity formation for vortex sheets and hyperbolic equations	1991	Russel E. Caflisch
+	A nonlinear approximation for vortex sheet evolution and singularity formation	1990	Russel E. Caflisch Stephen Semmes
+ PDF Chat	A simplified version of the abstract Cauchy-Kowalewski theorem with weak singularities	1990	Russel E. Caflisch
+	Convergence of the Vortex Method for Vortex Sheets	1989	Russel E. Caflisch John Lowengrub
+ PDF Chat	Singular Solutions and Ill-Posedness for the Evolution of Vortex Sheets	1989	Russel E. Caflisch Oscar Orellana
+	Well-posedness of initial and boundary value problems for the Boltzman equation	1989	Russel E. Caflisch
+ PDF Chat	Stability of shock waves for the Broadwell equations	1988	Russel E. Caflisch Tai-Ping Liu
+	Asymptotics of the Boltzmann Equation and Fluid Dynamics	1988	Russel E. Caflisch
+	Asymptotic expansions of solutions for the Boltzmann equation	1987	Russel E. Caflisch
+	Different aspects of the milne problem (based on energy estimates)	1987	Claude Bardos Russel E. Caflisch B. Nicolaenko
+	Planar boundary value problems for rarefied gases	1987	Russel E. Caflisch
+	The milne and kramers problems for the boltzmann equation of a hard sphere gas	1986	Claude Bardos Russel E. Caflisch B. Nicolaenko
+	Equilibrium for radiation in a homogeneous plasma	1986	Russel E. Caflisch C. David Levermore
+	Stability of shock wave profiles for a model Boltzmann equation	1986	Russel E. Caflisch Tai-Ping Liu
+	The half‐space problem for the boltzmann equation at zero temperature	1985	Russel E. Caflisch
+	Global existence for a nonlinear theory of bubbly liquids	1985	Russel E. Caflisch
+	Thermal Layer Solutions of the Boltzmann Equation	1985	Claude Bardos Russel E. Caflisch B. Nicolaenko
+	Fluid dynamics and the Boltzmann equation	1984	Russel E. Caflisch
+	Shock waves and the Boltzmann equation	1983	Russel E. Caflisch B. Nicolaenko
+ PDF Chat	Shock profile solutions of the Boltzmann equation	1982	Russel E. Caflisch B. Nicolaenko
+	An inverse problem for Toeplitz matrices and the synthesis of discrete transmission lines	1981	Russel E. Caflisch
+	Evaluation of a Function at Infinity from Its Power Series	1981	Russel E. Caflisch Kevin C. Nunan
+	The fluid dynamic limit of the nonlinear boltzmann equation	1980	Russel E. Caflisch
+	The Boltzmann equation with a soft potential	1980	Russel E. Caflisch
+	The Boltzmann equation with a soft potential	1980	Russel E. Caflisch
+	The Fluid Dynamic Limit of the Nonlinear Boltzmann Equation,	1980	Russel E. Caflisch
+	The Boltzmann Equation with a Soft Potential. Part I. Linear, Spatially-Homogeneous.	1979	Russel E. Caflisch
+	The fluid‐dynamical limit of a nonlinear model boltzmann equation	1979	Russel E. Caflisch George Papanicolaou
+	Navier‐stokes and boltzmann shock profiles for a model of gas dynamics	1979	Russel E. Caflisch
+	The fluid dynamic limit and shocks for a model Boltzmann equation	1978	Russel E. Caflisch

Common Coauthors

Coauthor	Papers Together
M. Sammartino	13
A. M. Dimits	10
B. I. Cohen	9
Stanley Osher	8
Lorenzo Pareschi	6
Yunan Yang	6
William J. Morokoff	6
Mark Rosin	5
B. Nicolaenko	5
Denis A. Silantyev	4
Yanghong Huang	4
Maria Carmela Lombardo	4
Nicholas M. Ercolani	4
Rongjie Lai	4
Vidvuds Ozoliņš	4
Vincenzo Sciacca	3
Hayden Schaeffer	3
Lee Ricketson	3
Michael Siegel	3
Gregory V. Steele	3
Suneal K. Chaudhary	3
Farzin Barekat	3
Christian Rätsch	3
Francesco Gargano	3
Claude Bardos	3
G. Gambino	2
Dionisios Margetis	2
Mark F. Gyure	2
C Wang	2
C.M. Wang	2
Giulia Bertaglia	2
Chia-Ming Wang	2
B.S. Moskowitz	2
Ke Yin	2
Giovanni Russo	2
David Senouf	2
Carlo Sgarra	2
Giang Tran	2
M. Siegel	2
Bokai Yan	2
Barry Merriman	1
Cory D. Hauck	1
Kamyar Malakuti	1
John Lowengrub	1
Alexander Virodov	1
Shi Jin	1
Yelena Landis	1
Oscar Orellana	1
Art B. Owen	1
Giacomo Dimarco	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Monte Carlo and quasi-Monte Carlo methods	1998	Russel E. Caflisch	10
+ PDF Chat	Singular Solutions and Ill-Posedness for the Evolution of Vortex Sheets	1989	Russel E. Caflisch Oscar Orellana	10
+	Quasi-Monte Carlo Integration	1995	William J. Morokoff Russel E. Caflisch	8
+	Direct Simulation Scheme Derived from the Boltzmann Equation. I. Monocomponent Gases	1980	Kenichi Nanbu	8
+ PDF Chat	Remarks on the breakdown of smooth solutions for the 3-D Euler equations	1984	J. Thomas Beale T. Kato Andrew J. Majda	8
+	Molecular Gas Dynamics And The Direct Simulation Of Gas Flows	1994	G. A. Bird	7
+ PDF Chat	Asymptotic equivalence of the Navier-Stokes and nonlinear Boltzmann equations	1965	Harold Grad	7
+	Theory of collision algorithms for gases and plasmas based on the Boltzmann equation and the Landau-Fokker-Planck equation	2000	A. V. Bobylev K. Nanbu	7
+	Tracing complex singularities with spectral methods	1983	Catherine Sulem P. L. Sulem H. Frisch	7
+	Particle simulation of Coulomb collisions: Comparing the methods of Takizuka & Abe and Nanbu	2008	Chia-Ming Wang Tungyou Lin Russel E. Caflisch B. I. Cohen A. M. Dimits	7
+	A binary collision model for plasma simulation with a particle code	1977	T. Takizuka Hirotada Abe	6
+	An Implicit Monte Carlo Method for Rarefied Gas Dynamics	1999	Lorenzo Pareschi Russel E. Caflisch	6
+	Molecular gas dynamics	1976	Graeme A. Bird	6
+ PDF Chat	Quasi-Random Sequences and Their Discrepancies	1994	William J. Morokoff Russel E. Caflisch	6
+ PDF Chat	Singularity formation for complex solutions of the 3D incompressible Euler equations	1993	Russel E. Caflisch	6
+	On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals	1960	John H. Halton	6
+ PDF Chat	A Quasi-Monte Carlo Approach to Particle Simulation of the Heat Equation	1993	William J. Morokoff Russel E. Caflisch	6
+ PDF Chat	Finite time analyticity for the two and three dimensional Kelvin-Helmholtz instability	1981	Catherine Sulem P. L. Sulem Claude Bardos U. Frisch	6
+	Domaine d’analycité des solutions de l’équation d’Euler dans un ouvert de $R^n$	1977	Claude Bardos S. Benachour	6
+	Zero Viscosity Limit for Analytic Solutions, of the Navier-Stokes Equation on a Half-Space.¶I. Existence for Euler and Prandtl Equations	1998	M. Sammartino Russel E. Caflisch	6
+	Multi‐valued solutions and branch point singularities for nonlinear hyperbolic or elliptic systems	1993	Russel E. Caflisch Nicholas M. Ercolani Thomas Y. Hou Yelena Landis	5
+	Evidence for a singularity of the three-dimensional, incompressible Euler equations	1993	Robert M. Kerr	5
+	Shock Structure in a Simple Discrete Velocity Gas	1964	James E. Broadwell	5
+	Molecular Gas Dynamics	1977	M A Cayless	5
+	Relaxation Schemes for Nonlinear Kinetic Equations	1997	Ester Gabetta Lorenzo Pareschi Giuseppe Toscani	5
+	Global vortex sheet solutions of Euler equations in the plane	1988	Jean Duchon Raoul Robert	5
+	Functions of a Complex Variable: Theory and Technique.	1967	Ernest C. Schlesinger G. F. Carrier Max Krook Carl E. Pearson	5
+	Direct Simulation and the Boltzmann Equation	1970	G. A. Bird	5
+	Zero Viscosity Limit for Analytic Solutions of the Navier-Stokes Equation on a Half-Space.¶ II. Construction of the Navier-Stokes Solution	1998	M. Sammartino Russel E. Caflisch	5
+	Principles of the Kinetic Theory of Gases	1958	Harold Grad	5
+ PDF Chat	Average case complexity of multivariate integration	1991	H. Woźniakowski	5
+	Asymptotic preserving Monte Carlo methods for the Boltzmann equation	2000	Lorenzo Pareschi Giovanni Russo	5
+	Ill-posedness of the rayleigh-taylor and helmholtz problems for incompressible fluids	1988	David G. Ebin	4
+	Convergence of the Vortex Method for Vortex Sheets	1989	Russel E. Caflisch John Lowengrub	4
+	Quasi-Random Methods for Estimating Integrals Using Relatively Small Samples	1994	Jerome Spanier Earl Maize	4
+	Random Number Generation and Quasi-Monte Carlo Methods.	1993	Bruce Jay Collings Harald Niederreiter	4
+	Blow-up of unsteady two-dimensional Euler and Navier-Stokes solutions having stagnation-point form	1989	Stephen Childress Glenn Ierley E. A. Spiegel W. R. Young	4
+	The abstract cauchy‐kovalevskaya theorem in a weighted banach space	1995	M. V. Safonov	4
+ PDF Chat	Uniformly Accurate Schemes for Hyperbolic Systems with Relaxation	1997	Russel E. Caflisch Shi Jin Giovanni Russo	4
+ PDF Chat	An introduction to Monte Carlo method for the Boltzmann equation	2001	Lorenzo Pareschi Giovanni Russo	4
+ PDF Chat	Supersonic Flow and Shock Waves	1949	M. J. Lighthill	4
+	Smoothness and dimension reduction in Quasi-Monte Carlo methods	1996	B.S. Moskowitz Russel E. Caflisch	4
+	A low-variance deviational simulation Monte Carlo for the Boltzmann equation	2007	Thomas Homolle Nicolas G. Hadjiconstantinou	4
+	The fluid‐dynamical limit of a nonlinear model boltzmann equation	1979	Russel E. Caflisch George Papanicolaou	4
+	<i>Theory and Application of the Boltzmann Equation</i>	1977	C. Cercignani Raphael Aronson	4
+	The Solution of the Boltzmann Equation for a Shock Wave	1951	H. M. Mott-Smith	4
+	Energy dissipation without viscosity in ideal hydrodynamics I. Fourier analysis and local energy transfer	1994	Gregory L. Eyink	4
+	A Convergence Proof for Nanbu’s Simulation Method for the Full Boltzmann Equation	1989	Hans Babovsky Reinhard Illner	4
+	Development of singular solutions to the axisymmetric Euler equations	1992	Alain Pumir Eric D. Siggia	4
+	Asymptotic Theory of the Boltzmann Equation	1963	Harold Grad	4