Results 71 to 80 of about 121 (115)

Hypersingular Integral Equations in Computational Electrodynamics

Computational Mathematics and Modeling, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Davydov, A. G., Zakharov, E. V., Pimenov, Yu. V.   +2 more
openaire   +2 more sources

Solution of a Hypersingular Integral Equation of the Second Kind

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1997
AbstractA straightforward analysis involving the complex function‐theoretic method is employed to determine the closed‐form solution of a special hypersingular integral equation of the second kind, and its known solution is recovered.
Chakrabarti, A, Mandal, BN, Basu, U, Banerjea, S   +3 more
openaire   +1 more source

Numerical Solution of a Hypersingular Integral Equation on the Torus

Differential Equations, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lifanov, I. K., Poltavskij, L. N.
openaire   +2 more sources

Investigation of Some Hypersingular Integral Equations on the Sphere

Differential Equations, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zakharov, E. V., Lifanov, I. K., Lifanov, P. I.   +2 more
openaire   +1 more source

Volume integration in the hypersingular boundary integral equation

Engineering Analysis with Boundary Elements, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andress, James, Ye, Wenjing, Gray, Lenoard   +2 more
openaire   +3 more sources

Hypersingular integral equations—past, present, future

Nonlinear Analysis: Theory, Methods & Applications, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

A solution method for hypersingular integral equations

Computational Mathematics and Modeling, 1995
The Neumann problem for the Helmholtz equation is considered. The double-layer potential is used to reduce the problem to a hypersingular integral equation. The properties of the hypersingular operator in a neighborhood lead to a method for approximate solution of the hypersingular equation with an arbitrary contour. Some numerical results are reported.
E. V. Zakharov, I. I. Lifanov
openaire   +1 more source

Newton methods for a class of nonlinear hypersingular integral equations

Numerical Algorithms, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maria Rosaria Capobianco, Giuliana Criscuolo, Peter Junghanns   +2 more
openaire   +5 more sources

Compact Numerical Quadrature Formulas for Hypersingular Integrals and Integral Equations

Journal of Scientific Computing, 2012
Compact numerical quadrature formulas are developed for integrals having singularities at the end-points based on a novel technique recently created by the author using Euler-Maclaurin expansions. It is shown that the accuracy of the proposed quadrature formulas can be increased using the Richardson extrapolation process. The investigation includes the
openaire   +1 more source

Boundary element preconditioners for a hypersingular integral equation on an interval

Advances in Computational Mathematics, 1999
An almost optimal preconditioner for the iterative solution of the Galerkin equation for the hypersingular integral equation \[ (Du)(x)=-{1\over 2\pi} fp \int^1_{-1} {u(y)\over(x- y)^2} dy= f(x),\quad -1< x< 1, \] where \(fp\) means the finite part in the sense of Hadamard, are given.
W. McLean, Olaf Steinbach
openaire   +2 more sources