Navier-Stokes Equations (Peter Constantin and Ciprian Foias). - J. Thomas Beale (SIAM Rev., 1990)

A convergent boundary integral method for three-dimensional water waves. - J. Thomas Beale (Math. Comput., 2001)

A Method for Computing Nearly Singular Integrals. - J. Thomas Beale; Ming-Chih Lai (SIAM J. Numer. Anal., 2001)

A Grid-Based Boundary Integral Method for Elliptic Problems in Three Dimensions. - J. Thomas Beale (SIAM J. Numer. Anal., 2004)

A proof that a discrete delta function is second-order accurate. - J. Thomas Beale (J. Comput. Phys., 2008)

Locally corrected semi-Lagrangian methods for Stokes flow with moving elastic interfaces. - J. Thomas Beale; John Strain (J. Comput. Phys., 2008)

A velocity decomposition approach for moving interfaces in viscous fluids. - J. Thomas Beale; Anita T. Layton (J. Comput. Phys., 2009)

Smoothing Properties of Implicit Finite Difference Methods for a Diffusion Equation in Maximum Norm. - J. Thomas Beale (SIAM J. Numer. Anal., 2009)

Partially implicit motion of a sharp interface in Navier-Stokes flow. - J. Thomas Beale (J. Comput. Phys., 2012)

Uniform Error Estimates for Navier-Stokes Flow with an Exact Moving Boundary Using the Immersed Interface Method. - J. Thomas Beale (SIAM J. Numer. Anal., 2015)

Regularized single and double layer integrals in 3D Stokes flow. - Svetlana Tlupova; J. Thomas Beale (J. Comput. Phys., 2019)

Solution of the Dirichlet problem by a finite difference analog of the boundary integral equation. - J. Thomas Beale; Wenjun Ying (Numerische Mathematik, 2019)

Neglecting discretization corrections in regularized singular or nearly singular integrals. - J. Thomas Beale (CoRR, 2020)

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids. - J. Thomas Beale (SIAM J. Sci. Comput., 2020)

A Novel Regularization for Higher Accuracy in the Solution of 3D Stokes Flow. - J. Thomas Beale; Christina Jones; Jillian Reale; Svetlana Tlupova (CoRR, 2021)

The adjoint double layer potential on smooth surfaces in R3 and the Neumann problem. - J. Thomas Beale; Michael Storm; Svetlana Tlupova (CoRR, 2023)

The adjoint double layer potential on smooth surfaces in $ mathbb {R}^3$ and the Neumann problem. - J. Thomas Beale; Michael Storm; Svetlana Tlupova (Adv. Comput. Math., 2024)

Extrapolated regularization of nearly singular integrals on surfaces. - J. Thomas Beale; Svetlana Tlupova (Adv. Comput. Math., 2024)