Publications of J. Thomas Beale     :chronological  combined listing:

%% Papers Published   
@article{fds159910,
   Author = {J. T. Beale},
   Title = {Smoothing properties of implicit finite difference methods
             for a diffusion equation in maximum norm},
   Journal = {SIAM J. Numer. Anal.},
   Volume = {47},
   Pages = {2476-95},
   Year = {2009},
   Month = {April},
   url = {http://www.math.duke.edu/faculty/beale/papers/parab.pdf},
   Key = {fds159910}
}

@article{fds157267,
   Author = {J. T. Beale and A. T. Layton},
   Title = {A velocity decomposition approach for moving interfaces in
             viscous fluids},
   Journal = {J. Comput. Phys. 228, 3358-67},
   Year = {2009},
   url = {http://www.math.duke.edu/faculty/beale/papers/velcomp.pdf},
   Key = {fds157267}
}

@article{fds148392,
   Author = {J. T. Beale and D. Chopp and R LeVeque and Z.
             Li},
   Title = {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.},
   Journal = {Commun. Appl. Math. Comput. Sci.},
   Volume = {3},
   Pages = {95-100},
   Year = {2008},
   Month = {August},
   url = {http://www.math.duke.edu/faculty/beale/papers/camcoscorr.pdf},
   Key = {fds148392}
}

@article{fds144448,
   Author = {J. T. Beale},
   Title = {A proof that a discrete delta function is second-order
             accurate},
   Journal = {J. Comput. Phys.},
   Volume = {227},
   Pages = {2195-97},
   Year = {2008},
   url = {http://www.math.duke.edu/faculty/beale/papers/ddel.pdf},
   Key = {fds144448}
}

@article{fds144449,
   Author = {J. T. Beale and J. Strain},
   Title = {Locally corrected semi-Lagrangian methods for Stokes flow
             with moving elastic interfaces},
   Journal = {J. Comput. Phys.},
   Volume = {227},
   Pages = {3896-3920},
   Year = {2008},
   url = {http://www.math.duke.edu/faculty/beale/papers/bealestrain.pdf},
   Key = {fds144449}
}

@article{fds48246,
   Author = {J. T. Beale and A. T. Layton},
   Title = {On the accuracy of finite difference methods for elliptic
             problems with interfaces},
   Journal = {Commun. Appl. Math. Comput. Sci.},
   Volume = {1},
   Pages = {91-119},
   Year = {2006},
   url = {http://www.math.duke.edu/faculty/beale/papers/alayton.pdf},
   Key = {fds48246}
}

@article{fds22060,
   Author = {G. R. Baker and J. T. Beale},
   Title = {Vortex blob methods applied to interfacial
             motion},
   Journal = {J. Comput. Phys.},
   Volume = {196},
   Pages = {233-58},
   Year = {2004},
   url = {http://www.math.duke.edu/faculty/beale/papers/baker.pdf},
   Key = {fds22060}
}

@article{fds22061,
   Author = {J. T. Beale},
   Title = {A grid-based boundary integral method for elliptic problems
             in three dimensions},
   Journal = {SIAM J. Numer. Anal.},
   Volume = {42},
   Pages = {599-620},
   Year = {2004},
   url = {http://www.math.duke.edu/faculty/beale/papers/gbbim.pdf},
   Key = {fds22061}
}

@article{fds10348,
   Author = {J. T. Beale},
   Title = {Methods for computing singular and nearly singular
             integrals},
   Journal = {J. Turbulence, vol. 3, (2002), article 041 (4
             pp.)},
   url = {http://www.math.duke.edu/faculty/beale/papers/jot.pdf},
   Key = {fds10348}
}

@article{fds10345,
   Author = {J. T. Beale},
   Title = {Discretization of Layer Potentials and Numerical Methods for
             Water Waves},
   Journal = {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.},
   Key = {fds10345}
}

@article{fds9824,
   Author = {J. T. Beale and M.-C. Lai},
   Title = {A Method for Computing Nearly Singular Integrals},
   Journal = {SIAM J. Numer. Anal., 38 (2001), 1902-25},
   url = {http://www.math.duke.edu/faculty/beale/papers/nearsing.ps},
   Key = {fds9824}
}

@article{fds9823,
   Author = {J. T. Beale},
   Title = {A Convergent Boundary Integral Method for Three-Dimensional
             Water Waves},
   Journal = {Math. Comp. 70 (2001), 977-1029},
   url = {http://www.math.duke.edu/faculty/beale/papers/mathcomp.ps},
   Key = {fds9823}
}

@article{fds9732,
   Author = {J. T. Beale},
   Title = {Boundary Integral Methods for Three-Dimensional Water
             Waves},
   Journal = {Equadiff 99, Proceedings of the International Conference on
             Differential Equations, Vol. 2, pp. 1369-78},
   url = {http://www.math.duke.edu/faculty/beale/papers/equadiff.ps},
   Key = {fds9732}
}

@article{fds8750,
   Author = {J. T. Beale and T.Y. Hou and J.S. Lowengrub},
   Title = {Stability of Boundary Integral Methods for Water
             Waves},
   Journal = {Nonlinear Evolutionary Partial Differential Equations, X. X.
             Ding and T.P. Liu eds., A.M.S., 1997, 107-27.},
   Key = {fds8750}
}

@article{fds8704,
   Author = {J. T. Beale and T. Y. Hou and J. S. Lowengrub},
   Title = {Convergence of a Boundary Integral Method for Water
             Waves},
   Journal = {SIAM J. Numer. Anal. 33 (1996), 1797-1843.},
   Key = {fds8704}
}

@article{fds8705,
   Author = {J. T. Beale and A. Lifschitz and W.H. Suters},
   Title = {The Onset of Instability in Exact Vortex Rings with
             Swirl},
   Journal = {J. Comput. Phys. 129 (1996) 8-29},
   Key = {fds8705}
}

@article{fds8748,
   Author = {J. T. Beale and T.Y. Hou and J.S. Lowengrub},
   Title = {Stability of Boundary Integral Methods for Water
             Waves},
   Journal = {Advances in Multi-Fluid Flows, Y. Renardy et al., ed., pp.
             241-45, SIAM, Philadelphia, 1996.},
   Key = {fds8748}
}

@article{fds8749,
   Author = {J. T. Beale and A. Lifschitz and W.H. Suters},
   Title = {A Numerical and Analytical Study of Vortex Rings with
             Swirl},
   Journal = {Vortex Flows and Related Numerical Methods, II, ESAIM Proc.
             1, 565-75, Soc. Math. Appl. Indust., Paris,
             1996.},
   Key = {fds8749}
}

@article{fds8747,
   Author = {J. T. Beale},
   Title = {Analytical and Numerical Aspects of Fluid
             Interfaces},
   Journal = {Proc. International Congress of Mathematicians 1994, S.
             Chatterji, ed., Vol. II, pp. 1055-64, Birkhauser, Basel,
             1995.},
   Key = {fds8747}
}

@article{fds8701,
   Author = {J. T. Beale and C. Greengard},
   Title = {Convergence of Euler-Stokes Splitting of the Navier-Stokes
             Equations},
   Journal = {Comm. Pure Appl. Math. 47 (1994), 1083-1115.},
   Key = {fds8701}
}

@article{fds8702,
   Author = {J. T. Beale and T. Y. Hou and J. S. Lowengrub and M.
             Shelley},
   Title = {Spatial and Temporal Stability Issues for Interfacial Flows
             with Surface Tension},
   Journal = {Mathl. Comput. Modeling 20 (1994), No. 10/11,
             1-27},
   Key = {fds8702}
}

@article{fds8703,
   Author = {A. Bourgeois and J. T. Beale},
   Title = {Validity of the Quasigeostrophic Model for Large Scale Flow
             in the Atmosphere and Ocean},
   Journal = {SIAM J. Math. Anal. 25 (1994), 1023-68.},
   Key = {fds8703}
}

@article{fds9207,
   Author = {J. T. Beale and T. Y. Hou and J. S. Lowengrub},
   Title = {Growth rates for the linearized motion of fluid interfaces
             away from equilibrium},
   Journal = {Comm. Pure Appl. Math. 46 (1993), 1269-1301.},
   Key = {fds9207}
}

@article{fds9208,
   Author = {J. T. Beale and T. Y. Hou and J. S. Lowengrub},
   Title = {On the well-posedness of two-fluid interfacial flows with
             surface tension},
   Journal = {Singularities in Fluids, Plasmas, and Optics, R. Caflisch et
             al., ed., pp. 11-38, NATO ASI Series, Kluwer,
             1993.},
   Key = {fds9208}
}

@article{fds9209,
   Author = {J. T. Beale and E. Thomann and C. Greengard},
   Title = {Operator splitting for Navier-Stokes and the Chorin-Marsden
             product formula},
   Journal = {Vortex Flows and Related Numerical Methods, J. T. Beale et
             al., ed., pp. 27-38, NATO ASI Series, Kluwer,
             1993.},
   Key = {fds9209}
}

@article{fds9203,
   Author = {J. T. Beale},
   Title = {The approximation of weak solutions to the Euler equations
             by vortex elements},
   Journal = {Multidimensional Hyperbolic Problems and Computations, J.
             Glimm et al., ed., pp. 23-37, Springer-Verlag, New York,
             1991.},
   Key = {fds9203}
}

@article{fds9204,
   Author = {J. T. Beale},
   Title = {Exact solitary water waves with capillary ripples at
             infinity},
   Journal = {Comm. Pure Appl. Math. 44 (1991), 211-257.},
   Key = {fds9204}
}

@article{fds9205,
   Author = {J. T. Beale and A. Eydeland and B. Turkington},
   Title = {Numerical tests of 3-D vortex methods using a vortex ring
             with swirl},
   Journal = {Vortex Dynamics and Vortex Methods, C. Anderson and C.
             Greengard, ed., pp. 1-9, A.M.S., 1991.},
   Key = {fds9205}
}

@article{fds9206,
   Author = {J. T. Beale},
   Title = {Solitary water waves with ripples beyond all
             orders},
   Journal = {Asymptotics beyond All Orders, H. Segur et al., ed., pp.
             293-98, NATO ASI Series, Plenum, 1991.},
   Key = {fds9206}
}

@article{fds9200,
   Author = {J. T. Beale},
   Title = {Large-time behavior of model gases with a discrete set of
             velocities},
   Journal = {Mathematics Applied to Science, J. Goldstein et al., ed. pp.
             1-12, Academic Press, Orlando, 1988.},
   Key = {fds9200}
}

@article{fds9201,
   Author = {J. T. Beale},
   Title = {On the accuracy of vortex methods at large
             times},
   Journal = {Computational Fluid Dynamics and Reacting Gas Flows, B.
             Engquist et al., ed., pp. 19-32, Springer-Verlag, New York,
             1988.},
   Key = {fds9201}
}

@article{fds9202,
   Author = {J. T. Beale and D. Schaeffer},
   Title = {Nonlinear behavior of model equations which are linearly
             ill-posed},
   Journal = {Comm. P. D. E. 13 (1988), 423-67.},
   Key = {fds9202}
}

@article{fds9195,
   Author = {J. T. Beale},
   Title = {Existence, regularity, and decay of viscous surface
             waves},
   Journal = {Nonlinear Systems of Partial Differential Equations in
             Applied Mathematics, Part 2, Lectures in Applied
             Mathematics, Vol. 23, A.M.S., Providence, 1986,
             137-48.},
   Key = {fds9195}
}

@article{fds9196,
   Author = {J. T. Beale},
   Title = {A convergent three-dimensional vortex method with grid-free
             stretching},
   Journal = {Math. Comp. 46 (1986), 401-24 and S15-S20.},
   Key = {fds9196}
}

@article{fds9199,
   Author = {J. T. Beale},
   Title = {Large-time behavior of discrete velocity Boltzmann
             equations},
   Journal = {Comm. Math. Phys. 106 (1986), 659-78.},
   Key = {fds9199}
}

@article{fds9194,
   Author = {J. T. Beale and A. Majda},
   Title = {High order accurate vortex methods with explicit velocity
             kernels},
   Journal = {J. Comp. Phys. 58 (1985), 188-208.},
   Key = {fds9194}
}

@article{fds9197,
   Author = {J. T. Beale and T. Nishida},
   Title = {Large-time behavior of viscous surface waves},
   Journal = {North-Holland Mathematics Studies, 128 (1985),
             1-14.},
   Key = {fds9197}
}

@article{fds9198,
   Author = {J. T. Beale},
   Title = {Large-time behavior of the Broadwell model of a discrete
             velocity gas},
   Journal = {Comm. Math. Phys. 102 (1985), 217-35.},
   Key = {fds9198}
}

@article{fds9191,
   Author = {J. T. Beale},
   Title = {Large-time regularity of viscous surface
             waves},
   Journal = {Arch. Rational Mech. Anal. 84 (1984), 307-52.},
   Key = {fds9191}
}

@article{fds9192,
   Author = {J. T. Beale and T. Kato and A. Majda},
   Title = {Remarks on the breakdown of smooth solutions for the 3-D
             Euler equations},
   Journal = {Comm. Math. Phys. 94 (1984), 61-66.},
   Key = {fds9192}
}

@article{fds9193,
   Author = {J. T. Beale and A. Majda},
   Title = {Vortex methods for fluid flow in two or three
             dimensions},
   Journal = {Contemp. Math. 28 (1984), 221-29.},
   Key = {fds9193}
}

@article{fds9190,
   Author = {J. T. Beale},
   Title = {Large-time regularity of viscous surface
             waves},
   Journal = {Contemp. Math. 17 (1983), 31-33.},
   Key = {fds9190}
}

@article{fds9187,
   Author = {J. T. Beale and A. Majda},
   Title = {Vortex methods I: Convergence in three dimensions},
   Journal = {Math. Comp. 39 (1982), 1-27.},
   Key = {fds9187}
}

@article{fds9188,
   Author = {J. T. Beale and A. Majda},
   Title = {Vortex methods II: Higher order accuracy in two and three
             dimensions},
   Journal = {Math. Comp. 39 (1982), 29-52.},
   Key = {fds9188}
}

@article{fds9189,
   Author = {J. T. Beale and A. Majda},
   Title = {The design and numerical analysis of vortex
             methods},
   Journal = {Transonic, Shock, and Multidimensional Flows, R. E. Meyer,
             ed., Academic Press, New York, 1982.},
   Key = {fds9189}
}

@article{fds9185,
   Author = {J. T. Beale},
   Title = {The initial value problem for the Navier-Stokes equations
             with a free surface},
   Journal = {Comm. Pure Appl. Math. 34 (1981), 359-392.},
   Key = {fds9185}
}

@article{fds9186,
   Author = {J. T. Beale and A. Majda},
   Title = {Rates of convergence for viscous splitting of the
             Navier-Stokes equations},
   Journal = {Math. Comp. 37 (1981), 243-259.},
   Key = {fds9186}
}

@article{fds9184,
   Author = {J. T. Beale},
   Title = {Water waves generated by a pressure disturbance on a steady
             stream},
   Journal = {Duke Math. J. 47 (1980), 297-323.},
   Key = {fds9184}
}

@article{fds9183,
   Author = {J. T. Beale},
   Title = {The existence of cnoidal water waves with surface
             tension},
   Journal = {J. Differential Eqns. 31(1979), 230-263.},
   Key = {fds9183}
}

@article{fds9180,
   Author = {J. T. Beale},
   Title = {Acoustic scattering from locally reacting
             surfaces},
   Journal = {Indiana Univ. Math. J. 26 (1977), 199-222.},
   Key = {fds9180}
}

@article{fds9181,
   Author = {J. T. Beale},
   Title = {Eigenfunction expansions for objects floating in an open
             sea},
   Journal = {Comm. Pure Appl. Math. 30 (1977), 283-313.},
   Key = {fds9181}
}

@article{fds9182,
   Author = {J. T. Beale},
   Title = {The existence of solitary water waves},
   Journal = {Comm. Pure Appl. Math. 30 (1977), 373-389.},
   Key = {fds9182}
}

@article{fds9179,
   Author = {J. T. Beale},
   Title = {Spectral properties of an acoustic boundary
             condition},
   Journal = {Indiana Univ. Math. J. 25 (1976), 895-917.},
   Key = {fds9179}
}

@article{fds9177,
   Author = {J. T. Beale},
   Title = {Purely imaginary scattering frequencies for exterior
             domains},
   Journal = {Duke Math. J. 41 (1974), 607-637.},
   Key = {fds9177}
}

@article{fds9178,
   Author = {J. T. Beale and S. I. Rosencrans},
   Title = {Acoustic boundary conditions},
   Journal = {Bull. Amer. Math. Soc. 80 (1974), 1276-1278.},
   Key = {fds9178}
}

@article{fds9176,
   Author = {J. T. Beale},
   Title = {Scattering frequencies of resonators},
   Journal = {Comm. Pure Appl. Math. 26 (1973), 549-563.},
   Key = {fds9176}
}