James Thomas Beale | Academic Influence

James Thomas Beale's AcademicInfluence.com Rankings

James Thomas Beale

Mathematics

#7882

World Rank

#10703

Historical Rank

Group Theory

#183

World Rank

#216

Historical Rank

Number Theory

#300

World Rank

#375

Historical Rank

Algebra

#445

World Rank

#606

Historical Rank

mathematics Degrees

Download Badge

Mathematics

James Thomas Beale's Degrees

Masters Mathematics Stanford University
Bachelors Mathematics Princeton University

Similar Degrees You Can Earn

Best Online Bachelor's in Math 2025

Why Is James Thomas Beale Influential?

(Suggest an Edit or Addition)

According to Wikipedia, James Thomas Beale is an American mathematician, specializing in fluid dynamics, partial differential equations, and numerical analysis. J. Thomas Beale grew up in Savannah, Georgia. In 1967 he graduated from California Institute of Technology with a B.S. in mathematics. In 1973 he received his PhD in mathematics from Stanford University. His PhD thesis Purely imaginary scattering frequencies for exterior domains. was written under the supervision of Ralph S. Phillips. Soon after receiving his PhD Beale became a faculty member at Tulane University. In 1983 he resigned from Tulane University and became a professor at Duke University, where he retired as professor emeritus in 2016.

(See a Problem?)

James Thomas Beale'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

Remarks on the breakdown of smooth solutions for the 3-D Euler equations (1984) (1508)
High order accurate vortex methods with explicit velocity kernels (1985) (277)
Large-time regularity of viscous surface waves (1984) (259)
Vortex methods. II. Higher order accuracy in two and three dimensions (1982) (254)
Vortex methods. I. Convergence in three dimensions (1982) (237)
The initial value problem for the navier-stokes equations with a free surface (1981) (230)
Rates of convergence for viscous splitting of the Navier-Stokes equations (1981) (198)
Growth rates for the linearized motion of fluid interfaces away from equilibrium (1993) (159)
Acoustic boundary conditions (1974) (139)
Validity of the quasigeostrophic model for large-scale ow in the atmosphere and ocean (1994) (130)
Scattering frequencies of resonators (1973) (118)
Exact solitary water waves with capillary ripples at infinity (1991) (118)
ON THE ACCURACY OF FINITE DIFFERENCE METHODS FOR ELLIPTIC PROBLEMS WITH INTERFACES (2006) (109)
The existence of solitary water waves (1977) (101)
A Method for Computing Nearly Singular Integrals (2000) (100)
Large-Time Behavior of Viscous Surface Waves. (1985) (93)
Convergence of a Boundary Integral Method for Water Waves (1996) (79)
A convergent 3-D vortex method with grid-free stretching (1986) (72)
Acoustic scattering from locally reacting surfaces (1977) (63)
On the Accuracy of Vortex Methods at Large Times (1988) (55)
A convergent boundary integral method for three-dimensional water waves (2001) (53)
Large-time behavior of the Broadwell model of a discrete velocity gas (1985) (48)
A Grid-Based Boundary Integral Method for Elliptic Problems in Three Dimensions (2004) (46)
Large-time behavior of discrete velocity boltzmann equations (1986) (45)
Eigenfunction expansions for objects floating in an open sea (1977) (36)
Vortex blob methods applied to interfacial motion (2004) (30)
A Simple Method for Computing Singular or Nearly Singular Integrals on Closed Surfaces (2015) (27)
Nearly Singular Integrals in 3D Stokes Flow (2013) (24)
Convergence of euler‐stokes splitting of the navier‐stokes equations (1994) (24)
Locally corrected semi-Lagrangian methods for Stokes flow with moving elastic interfaces (2008) (22)
A Fast Accurate Boundary Integral Method for Potentials on Closely Packed Cells (2013) (20)
The existence of cnoidal water waves with surface tension (1979) (18)
The Onset of Instability in Exact Vortex Rings with Swirl (1996) (17)
Smoothing Properties of Implicit Finite Difference Methods for a Diffusion Equation in Maximum Norm (2009) (16)
On the Well-Posedness of Two Fluid Interfacial Flows with Surface Tension (1993) (15)
A proof that a discrete delta function is second-order accurate (2008) (14)
A velocity decomposition approach for moving interfaces in viscous fluids (2009) (14)
Purely imaginary scattering frequencies for exterior domains (1974) (14)
Vortex Flows and Related Numerical Methods (2007) (14)
Regularized single and double layer integrals in 3D Stokes flow (2018) (13)
Spatial and temporal stability issues for interfacial flows with surface tension (1994) (13)
Water waves generated by a pressure disturbance on a steady stream (1980) (12)
Nonlinear behavior of model equations which are linearly ill-posed (1988) (11)
The Approximation of Weak Solutions to the 2-D Euler Equations by Vortex Elements (1991) (8)
Uniform Error Estimates for Navier-Stokes Flow with an Exact Moving Boundary Using the Immersed Interface Method (2015) (7)
On computing smooth, singular, and nearly singular integrals on implicitly defined surfaces (2010) (7)
A partially implicit hybrid method for computing interface motion in Stokes flow (2012) (7)
Operator Splitting for Navier-Stokes and Chorin-Marsden Product Formula (1993) (7)
Partially implicit motion of a sharp interface in Navier-Stokes flow (2012) (6)
Correction to the article ``A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources'' by Vaughan et al. (2008) (6)
The design and numerical analysis of vortex methods (1982) (5)
Pion photoproduction data below 1. 5 GeV (1966) (5)
Solution of the Dirichlet problem by a finite difference analog of the boundary integral equation (2018) (3)
Methods for computing singular and nearly singular integrals (2002) (2)
Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids (2019) (2)
Mathematical Theory of Water Waves 3009 Workshop : Mathematical Theory of Water Waves Table of Contents (2007) (2)
A grid-based boundary integral method for elliptic problems in 3D (2003) (2)
A numerical and analytical study of vortex rings with swirl (1996) (1)
Evaluating Singular and Nearly Singular Integrals Numerically (2002) (1)
Explicit smooth velocity kernels for vortex methods. (1983) (1)
Analytical and Numerical Aspects of Fluid Interfaces (1995) (1)
Navier-Stokes Equations (Peter Constantin and Ciprian Foias) (1990) (1)
Boundary Integral Methods for Three-Dimensional Water Waves (2000) (1)
A THIRD ORDER NUMERICAL METHOD FOR 3D DOUBLY PERIODIC ELECTROMAGNETIC SCATTERING PROBLEMS (2007) (1)
Solitary Water Waves with Ripples Beyond All Orders (1991) (1)
Discretization of Layer Potentials and Numerical Methods for Water Waves (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics) (2001) (0)
Banff Conference on Waves in Fluids `Waves in Fluids IV' Book of Abstracts (2013) (0)
Supplement to A Convergent 3-D Vortex Method with Grid-Free Stretching (1986) (0)
Boundary Integral Methodsfor Three-Dimensional Water WavesJ (2001) (0)
UNIFORM ERROR ESTIMATES FOR NAVIER-STOKES FLOW WITH A MOVING BOUNDARY USING THE IMMERSED INTERFACE METHOD (2015) (0)
Abstracts from the international conference on mathematical problems from the physics of fluids (1986) (0)
and Numerical Methods for Water Waves (2001) (0)
A Novel Regularization for Higher Accuracy in the Solution of 3D Stokes Flow (2021) (0)
Neglecting discretization corrections in regularized singular or nearly singular integrals (2020) (0)
A novel regularization for higher accuracy in the solution of the 3-dimensional Stokes flow (2021) (0)
Solution of the Dirichlet problem by a finite difference analog of the boundary integral equation (2018) (0)
ON TIlE A<XllRACY OF VORTEX METHODS AT LARGE TIMES (1988) (0)
Computing Singular and Nearly Singular Integrals (2013) (0)
LARGE-TIME BEHAVIOR OF MODEL GASES WITH A DISCRETE SET OF VELOCITIES (1988) (0)

This paper list is powered by the following services:

Other Resources About James Thomas Beale

en.wikipedia.org

What Schools Are Affiliated With James Thomas Beale?

James Thomas Beale is affiliated with the following schools: