Articles and Reports on Boundary Integral Equations

For cited articles without a link, contact the author.

K. E. Atkinson and Y. Jeon: An Integral Equation Program for the Planar Laplace Equation. ACM Transactions on Mathematical Software 24 (1998), pp. 395-417. Some more details about the program are available at a click of a button.


Kendall E. Atkinson: The Numerical Solution of Boundary Integral Equations. This is a survey research paper; it appears in The State of the Art in Numerical Analysis, Clarendon Press (1997), ed. by I. Duff and G. Watson, pp. 223-259.


David Chien and Kendall Atkinson: A Discrete Galerkin Method for a Hypersingular Boundary Integral Equation. IMA Journal of Numerical Analysis 17 (1997), pp. 463-478.


Ian H. Sloan and Kendall E. Atkinson: Semi-discrete Galerkin Approximations for the Single-Layer Equation on Lipschitz Curves. Journal of Integral Equations and Applications 9 (1997), pp. 279-292.


Kendall E. Atkinson and David Chien: Piecewise Polynomial Collocation for Boundary Integral Equations. SIAM Journal on Scientific Computing 16 (1995), pp. 65l-681.


Kendall E. Atkinson: The Numerical Solution of a Nonlinear Boundary Integral Equation on Smooth Surfaces. IMA Journal of Numerical Analysis 14 (1994) pp. 461-483.


Yan Chen and Kendall E. Atkinson: Solving a Single Layer Integral Equation on Surfaces in R3. Reports on Computational Mathematics #51 (1994), Dept of Mathematics, University of Iowa.


Kendall Atkinson and Ian Sloan: The numerical solution of first kind logarithmic-kernel integral equations on smooth open arcs, Mathematics of Computation,  56 (1991), pp. 119-139.


Kendall Atkinson and Graeme Chandler: BIE methods for solving Laplace's equation with nonlinear boundary conditions: The smooth boundary case, Mathematics of Computation,  55 (1990), pp. 455-472.


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