On two methods for elimination of non-unique solutions of an integral equation with logarithmic kernel/^†

DOI10.1080/00036818208839372zbMath0446.65061OpenAlexW2118287395WikidataQ58165415 ScholiaQ58165415MaRDI QIDQ3891722

Publication date: 1982

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818208839372

zbMATH Keywords

condition number singular values logarithmic kernel scaling of matrices elimination of non-unique solutions

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Eigenvalues, singular values, and eigenvectors (15A18) Numerical computation of matrix norms, conditioning, scaling (65F35) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Integral equations with miscellaneous special kernels (45H05)

Related Items (25)

Neumann problems of 2D Laplace's equation by method of fundamental solutions ⋮ Dependence of the round-off error in the solution of boundary integral equations on a geometrical scale factor ⋮ A relation between the logarithmic capacity and the condition number of the BEM‐matrices ⋮ On the condition number of the influence matrix belonging to some first kind integral equations with logarithmic kernel ⋮ BEM—condition number of systems obtained when solving mixed boundary value potential problems ⋮ Numerical comparison of two boundary element methods for plane harmonic functions ⋮ Degenerate scale for 2D Laplace equation with Robin boundary condition ⋮ Degenerate scale for 2D Laplace equation with mixed boundary condition and comparison with other conditions on the boundary ⋮ An asymptotic property of degenerate scales for multiple holes in plane elasticity ⋮ The stability study of numerical solution of Fredholm integral equations of the first kind with emphasis on its application in boundary elements method ⋮ Condition number of the BEM matrix arising from the Stokes equations in 2D ⋮ Degenerate scale for the Laplace problem in the half-plane; approximate logarithmic capacity for two distant boundaries ⋮ Coupling BEM with FEM by a direct computation of the boundary stiffness matrix ⋮ Numerical solution for degenerate scale problem arising from multiple rigid lines in plane elasticity ⋮ On using a modified Nyström method to solve the 2-D potential problem ⋮ Derivation and investigation of fifth order quadrature formulas for biharmonic boundary integral operators ⋮ Detecting non-uniqueness of solutions to biharmonic integral equations through SVD ⋮ On uniqueness of numerical solution of boundary integral equations with 3-times monotone radial kernels ⋮ A stability analysis of a Eulerian solution method for moving boundary problems in electrochemical machining ⋮ Derivation and analytical investigation of three direct boundary integral equations for the fundamental biharmonic problem ⋮ First kind integral equations for the numerical solution of the plane Dirichlet problem ⋮ Numerical investigations of direct and indirect integral equations for solving the heat conduction problem ⋮ Condition number of matrices derived from two classes of integral equations ⋮ An SVD analysis of linear algebraic equations derived from first kind integral equations ⋮ Study on the double-degeneracy mechanism of BEM/BIEM for a plane elasticity problem with line segments

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This page was built for publication: On two methods for elimination of non-unique solutions of an integral equation with logarithmic kernel/^†

On two methods for elimination of non-unique solutions of an integral equation with logarithmic kernel/†

On two methods for elimination of non-unique solutions of an integral equation with logarithmic kernel/^†