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J. Thomas Beale
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Journal Articles
- 2024
- [j15]J. Thomas Beale, Michael Storm, Svetlana Tlupova
:
The adjoint double layer potential on smooth surfaces in $\mathbb {R}^3$ and the Neumann problem. Adv. Comput. Math. 50(3): 29 (2024) - [j14]J. Thomas Beale, Svetlana Tlupova:
Extrapolated regularization of nearly singular integrals on surfaces. Adv. Comput. Math. 50(4): 61 (2024) - 2020
- [j13]J. Thomas Beale:
Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids. SIAM J. Sci. Comput. 42(2): A1052-A1070 (2020) - 2019
- [j12]Svetlana Tlupova
, J. Thomas Beale:
Regularized single and double layer integrals in 3D Stokes flow. J. Comput. Phys. 386: 568-584 (2019) - [j11]J. Thomas Beale, Wenjun Ying:
Solution of the Dirichlet problem by a finite difference analog of the boundary integral equation. Numerische Mathematik 141(3): 605-626 (2019) - 2015
- [j10]J. Thomas Beale:
Uniform Error Estimates for Navier-Stokes Flow with an Exact Moving Boundary Using the Immersed Interface Method. SIAM J. Numer. Anal. 53(4): 2097-2111 (2015) - 2012
- [j9]J. Thomas Beale:
Partially implicit motion of a sharp interface in Navier-Stokes flow. J. Comput. Phys. 231(18): 6159-6172 (2012) - 2009
- [j8]J. Thomas Beale, Anita T. Layton:
A velocity decomposition approach for moving interfaces in viscous fluids. J. Comput. Phys. 228(9): 3358-3367 (2009) - [j7]J. Thomas Beale:
Smoothing Properties of Implicit Finite Difference Methods for a Diffusion Equation in Maximum Norm. SIAM J. Numer. Anal. 47(4): 2476-2495 (2009) - 2008
- [j6]J. Thomas Beale:
A proof that a discrete delta function is second-order accurate. J. Comput. Phys. 227(4): 2195-2197 (2008) - [j5]J. Thomas Beale, John Strain:
Locally corrected semi-Lagrangian methods for Stokes flow with moving elastic interfaces. J. Comput. Phys. 227(8): 3896-3920 (2008) - 2004
- [j4]J. Thomas Beale:
A Grid-Based Boundary Integral Method for Elliptic Problems in Three Dimensions. SIAM J. Numer. Anal. 42(2): 599-620 (2004) - 2001
- [j3]J. Thomas Beale:
A convergent boundary integral method for three-dimensional water waves. Math. Comput. 70(235): 977-1029 (2001) - [j2]J. Thomas Beale, Ming-Chih Lai:
A Method for Computing Nearly Singular Integrals. SIAM J. Numer. Anal. 38(6): 1902-1925 (2001) - 1990
- [j1]J. Thomas Beale:
Navier-Stokes Equations (Peter Constantin and Ciprian Foias). SIAM Rev. 32(1): 156-158 (1990)
Informal and Other Publications
- 2023
- [i5]J. Thomas Beale, Svetlana Tlupova:
Extrapolated regularization of nearly singular integrals on surfaces. CoRR abs/2309.14169 (2023) - [i4]J. Thomas Beale, Michael Storm, Svetlana Tlupova:
The adjoint double layer potential on smooth surfaces in R3 and the Neumann problem. CoRR abs/2310.00188 (2023) - 2021
- [i3]J. Thomas Beale, Christina Jones, Jillian Reale, Svetlana Tlupova:
A Novel Regularization for Higher Accuracy in the Solution of 3D Stokes Flow. CoRR abs/2108.13330 (2021) - 2020
- [i2]J. Thomas Beale:
Neglecting discretization corrections in regularized singular or nearly singular integrals. CoRR abs/2004.06686 (2020) - 2019
- [i1]J. Thomas Beale:
Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids. CoRR abs/1908.01796 (2019)
Coauthor Index
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