J. Thomas Beale

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All published works

Action	Title	Year	Authors
+	Extrapolated regularization of nearly singular integrals on surfaces	2024	J. Thomas Beale Svetlana Tlupova
+	The adjoint double layer potential on smooth surfaces in $$\mathbb {R}^3$$ and the Neumann problem	2024	J. Thomas Beale Michael Storm Svetlana Tlupova
+	Extrapolated regularization of nearly singular integrals on surfaces	2023	J. Thomas Beale Svetlana Tlupova
+	The adjoint double layer potential on smooth surfaces in $\mathbb{R}^3$ and the Neumann problem	2023	J. Thomas Beale Michael Storm Svetlana Tlupova
+ PDF Chat	A novel regularization for higher accuracy in the solution of the 3-dimensional Stokes flow	2022	J. Thomas Beale Christina Jones Jillian Reale Svetlana Tlupova
+	A Novel Regularization for Higher Accuracy in the Solution of 3D Stokes Flow.	2021	J. Thomas Beale Christina Jones Jillian Reale Svetlana Tlupova
+	A Novel Regularization for Higher Accuracy in the Solution of 3D Stokes Flow	2021	J. Thomas Beale Christina Jones Jillian Reale Svetlana Tlupova
+	Neglecting discretization corrections in regularized singular or nearly singular integrals.	2020	J. Thomas Beale
+ PDF Chat	Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids	2020	J. Thomas Beale
+	Neglecting discretization corrections in regularized singular or nearly singular integrals	2020	J. Thomas Beale
+	Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids	2019	J. Thomas Beale
+ PDF Chat	Regularized single and double layer integrals in 3D Stokes flow	2019	Svetlana Tlupova J. Thomas Beale
+	Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids	2019	J. Thomas Beale
+ PDF Chat	Solution of the Dirichlet problem by a finite difference analog of the boundary integral equation	2018	J. Thomas Beale Wenjun Ying
+	Solution of the Dirichlet problem by a finite difference analog of the boundary integral equation	2018	J. Thomas Beale Wenjun Ying
+ PDF Chat	A Simple Method for Computing Singular or Nearly Singular Integrals on Closed Surfaces	2016	J. Thomas Beale Wenjun Ying Jason Wilson
+	Uniform error estimates for Navier-Stokes flow with an exact moving boundary using the immersed interface method	2015	J. Thomas Beale
+ PDF Chat	Uniform Error Estimates for Navier--Stokes Flow with an Exact Moving Boundary Using the Immersed Interface Method	2015	J. Thomas Beale
+	Uniform error estimates for Navier-Stokes flow with an exact moving boundary using the immersed interface method	2015	J. Thomas Beale
+ PDF Chat	Nearly Singular Integrals in 3D Stokes Flow	2013	Svetlana Tlupova J. Thomas Beale
+ PDF Chat	Smoothing Properties of Implicit Finite Difference Methods for a Diffusion Equation in Maximum Norm	2009	J. Thomas Beale
+	A THIRD ORDER NUMERICAL METHOD FOR 3D DOUBLY PERIODIC ELECTROMAGNETIC SCATTERING PROBLEMS	2007	J. Thomas Beale Malcolm Reed John A. Trangenstein
+	A Method for Computing Nearly Singular Integrals	2001	J. Thomas Beale Ming‐Chih Lai
+ PDF Chat	Convergence of a Boundary Integral Method for Water Waves	1996	J. Thomas Beale Thomas Y. Hou John Lowengrub
+	Analytical and Numerical Aspects of Fluid Interfaces	1995	J. Thomas Beale
+	Spatial and temporal stability issues for interfacial flows with surface tension	1994	J. Thomas Beale Tingzheng Hou John Lowengrub Michael Shelley
+	Convergence of euler‐stokes splitting of the navier‐stokes equations	1994	J. Thomas Beale Claude Greengard
+	Validity of the Quasigeostrophic Model for Large-Scale Flow in the Atmosphere and Ocean	1994	Alfred J. Bourgeois J. Thomas Beale
+	Growth rates for the linearized motion of fluid interfaces away from equilibrium	1993	J. Thomas Beale Thomas Y. Hou John Lowengrub
+	Operator Splitting for Navier-Stokes and Chorin-Marsden Product Formula	1993	J. Thomas Beale Claude Greengard Enrique Thomann
+	On the Well-Posedness of Two Fluid Interfacial Flows with Surface Tension	1993	J. Thomas Beale Thomas Y. Hou John Lowengrub
+	The Approximation of Weak Solutions to the 2-D Euler Equations by Vortex Elements	1991	J. Thomas Beale
+	Navier–Stokes Equations (Peter Constantin and Ciprian Foias)	1990	J. Thomas Beale
+	LARGE-TIME BEHAVIOR OF MODEL GASES WITH A DISCRETE SET OF VELOCITIES	1988	J. Thomas Beale
+ PDF Chat	Large-time behavior of discrete velocity boltzmann equations	1986	J. Thomas Beale
+ PDF Chat	Large-time behavior of the Broadwell model of a discrete velocity gas	1985	J. Thomas Beale
+	Large-time behavior of viscous surface waves	1985	J. Thomas Beale Takaaki Nishida
+	Large-Time Behavior of Viscous Surface Waves	1985	J. Thomas Beale Takaaki Nishida
+	Large-time regularity of viscous surface waves	1984	J. Thomas Beale
+ PDF Chat	Remarks on the breakdown of smooth solutions for the 3-D Euler equations	1984	J. Thomas Beale T. Kato Andrew J. Majda
+	Explicit smooth velocity kernels for vortex methods	1983	J. Thomas Beale Andrew J. Majda
+	Explicit smooth velocity kernels for vortex methods.	1983	J. Thomas Beale Andrew J. Majda
+ PDF Chat	Rates of Convergence for Viscous Splitting of the Navier-Stokes Equations	1981	J. Thomas Beale Andrew J. Majda
+	The initial value problem for the navier‐stokes equations with a free surface	1981	J. Thomas Beale
+	Eigenfunction expansions for objects floating in an open sea	1977	J. Thomas Beale
+	Purely imaginary scattering frequencies for exterior domains	1974	J. Thomas Beale

Common Coauthors

Coauthor	Papers Together
Svetlana Tlupova	9
John Lowengrub	4
Andrew J. Majda	4
Thomas Y. Hou	3
Wenjun Ying	3
Jillian Reale	3
Christina Jones	2
Michael Storm	2
Claude Greengard	2
Takaaki Nishida	2
Alfred J. Bourgeois	1
T. Kato	1
Malcolm Reed	1
Enrique Thomann	1
Michael Shelley	1
Jason Wilson	1
Tingzheng Hou	1
Ming‐Chih Lai	1
Christina Jones	1
John A. Trangenstein	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	A Simple Method for Computing Singular or Nearly Singular Integrals on Closed Surfaces	2016	J. Thomas Beale Wenjun Ying Jason Wilson	8
+	A Method for Computing Nearly Singular Integrals	2001	J. Thomas Beale Ming‐Chih Lai	7
+	The Fast Solution of Poisson’s and the Biharmonic Equations on Irregular Regions	1984	Anita Mayo	6
+ PDF Chat	Regularized single and double layer integrals in 3D Stokes flow	2019	Svetlana Tlupova J. Thomas Beale	5
+ PDF Chat	On the Euler equations of incompressible perfect fluids	1975	Roger Témam	4
+	Removing the stiffness from interfacial flows with surface tension	1994	Thomas Y. Hou John Lowengrub Michael Shelley	4
+ PDF Chat	Convergence of the ghost fluid method for elliptic equations with interfaces	2003	Xudong Liu Thomas C. Sideris	4
+ PDF Chat	Quadrature by expansion: A new method for the evaluation of layer potentials	2013	Andreas Klöckner Alexander H. Barnett Leslie Greengard Michael O’Neil	4
+	Introduction to Partial Differential Equations	1976	Gerald B. Folland	4
+	Integral Equation Methods in Scattering Theory	2013	David Colton Rainer Kreß	4
+	Growth rates for the linearized motion of fluid interfaces away from equilibrium	1993	J. Thomas Beale Thomas Y. Hou John Lowengrub	4
+	Introduction to Partial Differential Equations	1949	Gerald B. Folland	3
+ PDF Chat	Product formulas and numerical algorithms	1978	Alexandre J. Chorin Thomas J.R. Hughes Marjorie F. McCracken Jerrold E. Marsden	3
+	Elliptic Differential Equations: Theory and Numerical Treatment	2017	Wolfgang Hackbusch	3
+ PDF Chat	On the Broadwell's model for a simple discrete velocity gas	1974	Takaaki Nishida Masayasu Mimura	3
+	Convergence of the point vortex method for the 2‐D euler equations	1990	Jonathan Goodman Thomas Y. Hou John Lowengrub	3
+	Convergence of Vortex Methods for Euler’s Equations. II	1979	Ole H. Hald	3
+	Numerical study of slightly viscous flow	1973	Alexandre J. Chorin	3
+	On the connection between thin vortex layers and vortex sheets	1990	Gregory R. Baker Michael Shelley	3
+	ON DISCRETE MODELS OF THE KINETIC BOLTZMANN EQUATION	1971	С. К. Годунов U. M. Sultangazin	3
+	A local target specific quadrature by expansion method for evaluation of layer potentials in 3D	2018	Michael Siegel Anna‐Karin Tornberg	3
+ PDF Chat	Convergence of Chorin-Marsden product formula in the half-plane	1986	G. Benfatto Mario Pulvirenti	2
+ PDF Chat	A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction–Diffusion Equations on Surfaces	2014	Varun Shankar Grady B. Wright Robert M. Kirby Aaron L. Fogelson	2
+	Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids	1981	Sergiù Klainerman Andrew J. Majda	2
+	Vorticity and the mathematical theory of incompressible fluid flow	1986	Andrew J. Majda	2
+	Discrete maximum principle for finite-difference operators	1970	Philippe G. Ciarlet	2
+	Superconvergence of the Shortley–Weller approximation for Dirichlet problems	2000	Nami Matsunaga Tetsuro Yamamoto	2
+	Remarks on the Euler equation	1974	J P Bourguignon Haı̈m Brezis	2
+	Nonstationary flows of viscous and ideal fluids in R3	1972	Tosio Kato	2
+	Monotonicity of some perturbations of irreducibly diagonally dominant M-matrices	2006	François Bouchon	2
+	An L_r-theorem of the Helmholtz decomposition of vector fields	1977	Daisuke Fujiwara Hiroko Morimoto	2
+	Analyticity of the semigroup generated by the Stokes operator inL r spaces	1981	Yoshikazu Giga	2
+ PDF Chat	Global solution of the initial value problem for a discrete velocity model of the Boltzmann equation	1981	Shuichi Kawashima	2
+ PDF Chat	Simple computation of reaction–diffusion processes on point clouds	2013	Colin B. Macdonald Barry Merriman Steven J. Ruuth	2
+	Shock Structure in a Simple Discrete Velocity Gas	1964	James E. Broadwell	2
+	Numerical Analysis of Spectral Methods	1977	David Gottlieb Steven A. Orszag	2
+ PDF Chat	Vortex sheet approximation of boundary layers	1978	Alexandre J. Chorin	2
+ PDF Chat	Convergence of a Boundary Integral Method for Water Waves	1996	J. Thomas Beale Thomas Y. Hou John Lowengrub	2
+	Quadrature methods for periodic singular and weakly singular Fredholm integral equations	1988	Avram Sidi M. Israeli	2
+ PDF Chat	Smoothing Properties of Implicit Finite Difference Methods for a Diffusion Equation in Maximum Norm	2009	J. Thomas Beale	2
+	Groups of Diffeomorphisms and the Motion of an Incompressible Fluid	1970	David G. Ebin Jerrold E. Marsden	2
+	Spatial and temporal stability issues for interfacial flows with surface tension	1994	J. Thomas Beale Tingzheng Hou John Lowengrub Michael Shelley	2
+ PDF Chat	Large-time behavior of the Broadwell model of a discrete velocity gas	1985	J. Thomas Beale	2
+	The initial value problem for the navier‐stokes equations with a free surface	1981	J. Thomas Beale	2
+ PDF Chat	On uniqueness questions in the theory of viscous flow	1976	John G. Heywood	2
+ PDF Chat	Generation of vorticity near the boundary in planar Navier-Stokes flows	1984	G. Benfatto Mario Pulvirenti	2
+	An existence theory for water waves and the boussinesq and korteweg-devries scaling limits	1985	Walter Craig	2
+ PDF Chat	An approximate layering method for the Navier-Stokes equations in bounded cylinders	1983	Giovanni Alessandrini Avron Douglis Eugene B. Fabes	2
+	A nonlinear approximation for vortex sheet evolution and singularity formation	1990	Russel E. Caflisch Stephen Semmes	2
+ PDF Chat	Viscous splitting for the unbounded problem of the Navier-Stokes equations	1990	Lung‐an Ying	2