**Papers Published**

- Tlupova, S; Beale, JT,
*Regularized single and double layer integrals in 3D Stokes flow*, Journal of Computational Physics, vol. 386 (June, 2019), pp. 568-584 - Beale, JT; Ying, W,
*Solution of the Dirichlet problem by a finite difference analog of the boundary integral equation*, Numerische Mathematik, vol. 141 no. 3 (March, 2019), pp. 605-626 - Beale, JT; Ying, W; Wilson, JR,
*A Simple Method for Computing Singular or Nearly Singular Integrals on Closed Surfaces*, Communications in Computational Physics, vol. 20 no. 03 (September, 2016), pp. 733-753, Global Science Press - Beale, JT,
*Uniform Error Estimates for Navier--Stokes Flow with an Exact Moving Boundary Using the Immersed Interface Method*, Siam Journal on Numerical Analysis, vol. 53 no. 4 (2015), pp. 2097-2111, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1429 - Ying, W; Beale, JT,
*A Fast Accurate Boundary Integral Method for Potentials on Closely Packed Cells*, Communications in Computational Physics, vol. 14 no. 04 (2013), pp. 1073-1093, Global Science Press, ISSN 1815-2406 - Tlupova, S; Beale, JT,
*Nearly singular integrals in 3D stokes flow*, Communications in Computational Physics, vol. 14 no. 5 (2013), pp. 1207-1227, Global Science Press, ISSN 1815-2406 - Layton, AT; Beale, JT,
*A partially implicit hybrid method for computing interface motion in stokes flow*, Discrete and Continuous Dynamical Systems Series B, vol. 17 no. 4 (2012), pp. 1139-1153, American Institute of Mathematical Sciences (AIMS), ISSN 1531-3492 - Beale, JT,
*Partially implicit motion of a sharp interface in Navier-Stokes flow*, J. Comput. Phys., vol. 231 no. 18 (2012), pp. 6159-6172, Elsevier BV - Beale, JT,
*Smoothing properties of implicit finite difference methods for a diffusion equation in maximum norm*, Siam Journal on Numerical Analysis, vol. 47 no. 4 (2009), pp. 2476-2495, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1429 - Beale, JT; Layton, AT,
*A velocity decomposition approach for moving interfaces in viscous fluids*, Journal of Computational Physics, vol. 228 no. 9 (2009), pp. 3358-3367, Elsevier BV, ISSN 0021-9991 - Beale, JT; Chopp, D; LeVeque, R; Li, Z,
*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.*, Commun. Appl. Math. Comput. Sci., vol. 3 no. 1 (2008), pp. 95-100, Mathematical Sciences Publishers - Beale, JT; Strain, J,
*Locally corrected semi-Lagrangian methods for Stokes flow with moving elastic interfaces*, Journal of Computational Physics, vol. 227 no. 8 (2008), pp. 3896-3920, Elsevier BV, ISSN 0021-9991 - Beale, JT,
*A proof that a discrete delta function is second-order accurate*, Journal of Computational Physics, vol. 227 no. 4 (2008), pp. 2195-2197, Elsevier BV, ISSN 0021-9991 - Thomas Beale, J; Layton, AT,
*On the accuracy of finite difference methods for elliptic problems with interfaces*, Communications in Applied Mathematics and Computational Science, vol. 1 no. 1 (2006), pp. 91-119, Mathematical Sciences Publishers - Beale, JT,
*A grid-based boundary integral method for elliptic problems in three dimensions*, Siam Journal on Numerical Analysis, vol. 42 no. 2 (2004), pp. 599-620, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1429 - Baker, GR; Beale, JT,
*Vortex blob methods applied to interfacial motion*, Journal of Computational Physics, vol. 196 no. 1 (2004), pp. 233-258, Elsevier BV - Beale, JT; Lai, MC,
*A method for computing nearly singular integrals*, Siam Journal on Numerical Analysis, vol. 38 no. 6 (December, 2001), pp. 1902-1925, Society for Industrial & Applied Mathematics (SIAM) - Beale, JT,
*Discretization of Layer Potentials and Numerical Methods for Water Waves (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)*, Rims Kokyuroku, vol. 1234 (October, 2001), pp. 18-26, Kyoto University, ISSN 1880-2818 - Beale, JT,
*A convergent boundary integral method for three-dimensional water waves*, Mathematics of Computation, vol. 70 no. 235 (July, 2001), pp. 977-1029, American Mathematical Society (AMS) - Beale, JT; Hou, TY; Lowengrub, J,
*Stability of boundary integral methods for water waves*, Ams Ims Siam Joint Summer Research Conference (January, 1996), pp. 241-245 - Beale, JT; Hou, TY; Lowengrub, J,
*Convergence of a boundary integral method for water waves*, Siam Journal on Numerical Analysis, vol. 33 no. 5 (January, 1996), pp. 1797-1843, Society for Industrial & Applied Mathematics (SIAM) - Lifschitz, A; Suters, WH; Beale, JT,
*The onset of instability in exact vortex rings with swirl*, Journal of Computational Physics, vol. 129 no. 1 (January, 1996), pp. 8-29, Elsevier BV - Beale, JT; Greengard, C,
*Convergence of euler-stokes splitting of the navier-stokes equations*, Communications on Pure and Applied Mathematics, vol. 47 no. 8 (August, 1994), pp. 1083-1115, WILEY, ISSN 0010-3640 - Bourgeois, AJ; Beale, JT,
*Validity of the Quasigeostrophic Model for Large-Scale Flow in the Atmosphere and Ocean*, Siam Journal on Mathematical Analysis, vol. 25 no. 4 (July, 1994), pp. 1023-1068, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1410 - Beale, JT; Hou, TY; Lowengrub, JS; Shelley, MJ,
*Spatial and temporal stability issues for interfacial flows with surface tension*, Mathematical and Computer Modelling, vol. 20 no. 10-11 (January, 1994), pp. 1-27, Elsevier BV, ISSN 0895-7177 - Beale, JT; Hou, TY; Lowengrub, JS,
*Growth rates for the linearized motion of fluid interfaces away from equilibrium*, Communications on Pure and Applied Mathematics, vol. 46 no. 9 (1993), pp. 1269-1301, WILEY, ISSN 0010-3640 - J. T. Beale, T. Y. Hou, J. S. Lowengrub,
*On the well-posedness of two-fluid interfacial flows with surface tension*, Singularities in Fluids, Plasmas, and Optics, R. Caflisch et al., ed., NATO ASI Series, Kluwer (1993), pp. 11-38 - Beale, JT,
*Exact solitary water waves with capillary ripples at infinity*, Communications on Pure and Applied Mathematics, vol. 44 no. 2 (March, 1991), pp. 211-257, WILEY, ISSN 0010-3640 - Beale, JT; Schaeffer, DG,
*Nonlinear behavior of model equations which are linearly ill-posed*, Communications in Partial Differential Equations, vol. 13 no. 4 (January, 1988), pp. 423-467, Informa UK Limited, ISSN 0360-5302 - Beale, JT,
*Large-time behavior of discrete velocity boltzmann equations*, Communications in Mathematical Physics, vol. 106 no. 4 (December, 1986), pp. 659-678, Springer Nature, ISSN 0010-3616 - BEALE, JT,
*ANALYSIS OF VORTEX METHODS FOR INCOMPRESSIBLE-FLOW*, Journal of Statistical Physics, vol. 44 no. 5-6 (September, 1986), pp. 1009-1011, ISSN 0022-4715 - Beale, JT,
*A Convergent 3-D Vortex Method With Grid-Free Stretching*, Mathematics of Computation, vol. 46 no. 174 (April, 1986), pp. 401-401, JSTOR - Beale, JT,
*Convergent 3-D vortex method with grid-free stretching.*(January, 1986) - Beale, JT,
*Large-time behavior of the Broadwell model of a discrete velocity gas*, Communications in Mathematical Physics, vol. 102 no. 2 (June, 1985), pp. 217-235, Springer Nature, ISSN 0010-3616 - Beale, JT; Nishida, T,
*Large-Time Behavior of Viscous Surface Waves*, North-Holland Mathematics Studies, vol. 128 no. C (January, 1985), pp. 1-14, Elsevier, ISSN 0304-0208 - Beale, JT; Majda, A,
*High order accurate vortex methods with explicit velocity kernels*, Journal of Computational Physics, vol. 58 no. 2 (January, 1985), pp. 188-208, Elsevier BV, ISSN 0021-9991 - Beale, JT,
*Large-time regularity of viscous surface waves*, Archive for Rational Mechanics and Analysis, vol. 84 no. 4 (December, 1984), pp. 307-352, Springer Nature, ISSN 0003-9527 - Beale, JT; Kato, T; Majda, A,
*Remarks on the breakdown of smooth solutions for the 3-D Euler equations*, Communications in Mathematical Physics, vol. 94 no. 1 (1984), pp. 61-66, Springer Nature, ISSN 0010-3616 - Beale, JT; Majda, AJ,
*Explicit smooth velocity kernels for vortex methods.*(January, 1983) - Beale, JT; Majda, A,
*Vortex methods. II. Higher order accuracy in two and three dimensions*, Mathematics of Computation, vol. 39 no. 159 (September, 1982), pp. 29-29, American Mathematical Society (AMS) - Beale, JT; Majda, A,
*Vortex Methods. II: Higher Order Accuracy in Two and Three Dimensions*, Mathematics of Computation, vol. 39 no. 159 (July, 1982), pp. 29-29, JSTOR, ISSN 0025-5718 - Beale, JT; MAJDA, A,
*Vortex Methods 1: Convergence in 3 Dimensions*, Mathematics of Computation, vol. 39 no. 159 (1982), pp. 1-27, American Mathematical Society (AMS), ISSN 0025-5718 - Beale, JT; Majda, A,
*Rates of Convergence for Viscous Splitting of the Navier-Stokes Equations*, Mathematics of Computation, vol. 37 no. 156 (October, 1981), pp. 243-243, JSTOR, ISSN 0025-5718 - Beale, JT,
*The initial value problem for the navierāstokes equations with a free surface*, Communications on Pure and Applied Mathematics, vol. 34 no. 3 (January, 1981), pp. 359-392, WILEY, ISSN 0010-3640 - Beale, JT,
*Water-Waves Generated by a Pressure Disturbance on a Steady Stream*, Duke Mathematical Journal, vol. 47 no. 2 (1980), pp. 297-323, Duke University Press, ISSN 0012-7094 - Beale, JT,
*The existence of cnoidal water waves with surface tension*, Journal of Differential Equations, vol. 31 no. 2 (January, 1979), pp. 230-263, Elsevier BV, ISSN 0022-0396 - Thomas Beale, J,
*The existence of solitary water waves*, Communications on Pure and Applied Mathematics, vol. 30 no. 4 (July, 1977), pp. 373-389, WILEY, ISSN 0010-3640 - Thomas Beale, J,
*Eigenfunction expansions for objects floating in an open sea*, Communications on Pure and Applied Mathematics, vol. 30 no. 3 (May, 1977), pp. 283-313, WILEY, ISSN 0010-3640 - BEALE, JT,
*ACOUSTIC SCATTERING FROM LOCALLY REACTING SURFACES*, Indiana University Mathematics Journal, vol. 26 no. 2 (1977), pp. 199-222 - Beale, JT,
*Spectral Properties of an Acoustic Boundary Condition*, Indiana University Mathematics Journal, vol. 25 no. 9 (1976), pp. 895-917 - Beale, JT,
*Purely imaginary scattering frequencies for exterior domains*, Duke Mathematical Journal, vol. 41 no. 3 (September, 1974), pp. 607-637, Duke University Press, ISSN 0012-7094 - Beale, JT; Rosencrans, SI,
*Acoustic boundary conditions*, Bulletin of the American Mathematical Society, vol. 80 no. 6 (January, 1974), pp. 1276-1278, American Mathematical Society (AMS), ISSN 0002-9904 - Beale, JT,
*Scattering frequencies of resonators*, Communications on Pure and Applied Mathematics, vol. 26 no. 4 (July, 1973), pp. 549-563, WILEY, ISSN 0010-3640 - J. T. Beale,
*Methods for computing singular and nearly singular integrals*, J. Turbulence, vol. 3, (2002), article 041 (4 pp.) - J. T. Beale,
*Discretization of Layer Potentials and Numerical Methods for Water Waves*, Proc. of Workshop on Kato's Method and Principle for Evolution Equations in Mathematical Physics, H. Fujita, S. T. Kuroda, H.Okamoto, eds., Univ. of Tokyo Press, pp. 18-26. - J. T. Beale,
*Boundary Integral Methods for Three-Dimensional Water Waves*, Equadiff 99, Proceedings of the International Conference on Differential Equations, Vol. 2, pp. 1369-78 - J. T. Beale, T.Y. Hou, J.S. Lowengrub,
*Stability of Boundary Integral Methods for Water Waves*, Nonlinear Evolutionary Partial Differential Equations, X. X. Ding and T.P. Liu eds., A.M.S., 1997, 107-27. - J. T. Beale, T.Y. Hou, J.S. Lowengrub,
*Stability of Boundary Integral Methods for Water Waves*, Advances in Multi-Fluid Flows, Y. Renardy et al., ed., pp. 241-45, SIAM, Philadelphia, 1996. - J. T. Beale, A. Lifschitz, W.H. Suters,
*A Numerical and Analytical Study of Vortex Rings with Swirl*, Vortex Flows and Related Numerical Methods, II, ESAIM Proc. 1, 565-75, Soc. Math. Appl. Indust., Paris, 1996. - J. T. Beale, E. Thomann, C. Greengard,
*Operator splitting for Navier-Stokes and the Chorin-Marsden product formula*, Vortex Flows and Related Numerical Methods, J. T. Beale et al., ed., pp. 27-38, NATO ASI Series, Kluwer, 1993. - J. T. Beale,
*The approximation of weak solutions to the Euler equations by vortex elements*, Multidimensional Hyperbolic Problems and Computations, J. Glimm et al., ed., pp. 23-37, Springer-Verlag, New York, 1991. - J. T. Beale, A. Eydeland, B. Turkington,
*Numerical tests of 3-D vortex methods using a vortex ring with swirl*, Vortex Dynamics and Vortex Methods, C. Anderson and C. Greengard, ed., pp. 1-9, A.M.S., 1991. - J. T. Beale,
*Solitary water waves with ripples beyond all orders*, Asymptotics beyond All Orders, H. Segur et al., ed., pp. 293-98, NATO ASI Series, Plenum, 1991. - J. T. Beale,
*Large-time behavior of model gases with a discrete set of velocities*, Mathematics Applied to Science, J. Goldstein et al., ed. pp. 1-12, Academic Press, Orlando, 1988. - J. T. Beale,
*On the accuracy of vortex methods at large times*, Computational Fluid Dynamics and Reacting Gas Flows, B. Engquist et al., ed., pp. 19-32, Springer-Verlag, New York, 1988. - J. T. Beale,
*Existence, regularity, and decay of viscous surface waves*, Nonlinear Systems of Partial Differential Equations in Applied Mathematics, Part 2, Lectures in Applied Mathematics, Vol. 23, A.M.S., Providence, 1986, 137-48. - J. T. Beale,
*A convergent three-dimensional vortex method with grid-free stretching*, Math. Comp. 46 (1986), 401-24 and S15-S20. - J. T. Beale,
*Large-time regularity of viscous surface waves*, Arch. Rational Mech. Anal. 84 (1984), 307-52. - J. T. Beale, A. Majda,
*Vortex methods for fluid flow in two or three dimensions*, Contemp. Math. 28 (1984), 221-29. - J. T. Beale,
*Large-time regularity of viscous surface waves*, Contemp. Math. 17 (1983), 31-33. - J. T. Beale, A. Majda,
*Vortex methods I: Convergence in three dimensions*, Math. Comp. 39 (1982), 1-27. - J. T. Beale, A. Majda,
*The design and numerical analysis of vortex methods*, Transonic, Shock, and Multidimensional Flows, R. E. Meyer, ed., Academic Press, New York, 1982.

**Papers Submitted**

- J. t. Beale, W. YIng, and J. R. Wilson,
*A simple method for computing singular or nearly singular integrals on closed surfaces*, Commun. Comput. Phys. (August, 2015)