scientific article; zbMATH DE number 5233298

zbMath1160.65002MaRDI QIDQ5438770

Viktor D. Didenko, Bernd Silbermann

Publication date: 8 February 2008

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

stabilityconvergencenumerical resultsBanach algebratextbookRiemann-Hilbert problembiharmonic equationFredholm operatorboundary integral equationsCauchy kernelC*-algebraMellin convolution operatorSingular integral operator\(\varepsilon\)-collocation methodLocal principleMuskhelishvili singular integral equationPara-algebraPolynomial qualocation methodQuadrature methodSingular integro-differential equationSpline Galerkin methodSpline qualocation method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Navier-Stokes equations for incompressible viscous fluids (76D05) Linear elasticity with initial stresses (74B10) Boundary element methods applied to problems in solid mechanics (74S15) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Boundary element methods applied to problems in fluid mechanics (76M15) Fredholm integral equations (45B05) Riemann-Hilbert problems in context of PDEs (35Q15) Boundary element methods for boundary value problems involving PDEs (65N38) Theoretical approximation of solutions to integral equations (45L05) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Linear integral equations (45A05) Thin bodies, structures (74Kxx) Singular integral equations (45Exx) Applications of operator theory in numerical analysis (47N40) Integral, integro-differential, and pseudodifferential operators (47Gxx) Numerical analysis in abstract spaces (65Jxx)

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Mellin convolution operators in Bessel potential spaces ⋮ Spline Galerkin Methods for the Sherman--Lauricella Equation on Contours with Corners ⋮ Mixed boundary value problems for the Laplace–Beltrami equation ⋮ An Approach for Developing Fourier Convolutions and Applications ⋮ Finite section approximations in an algebra of convolution, multiplication and flip operators on \(L^p(\mathbb{R})\) ⋮ Two points, one limit: homogenization techniques for two-point local algebras ⋮ Laplace-Beltrami equation on a hypersurface with Lipschitz boundary ⋮ On approximate solution of certain equations ⋮ Semi-Fredholmness of Weighted Singular Integral Operators with Shifts and Slowly Oscillating Data ⋮ More Than 40 Years of Algebraic Techniques in Numerical Analysis ⋮ Unnamed Item ⋮ Fredholmness and index of simplest weighted singular integral operators with two slowly oscillating shifts ⋮ TWO-SCALE ESTIMATES FOR SPECIAL FINITE DISCRETE OPERATORS

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