Error Bounds and Estimates for Eigenvalues of Integral Equations. II.
Error Bounds and Estimates for Eigenvalues of Integral Equations.
Error Bounds for the Approximation of Green's Kernels by Splines.
Error estimate of approximate solution for a quasilinear parabolic integrodifferential equation in the -space
The Rothe-Galerkin method is used for discretization. The rate of convergence in for the approximate solution of a quasilinear parabolic equation with a Volterra operator on the right-hand side is established.
Error evaluation of approximate solutions for sum-difference equations in two variables.
Estimation of the condition number of a matrix in the direct discretization of the Symm equation on a quasi-uniform grid.
Exact and numerical solutions of Poisson equation for electrostatic potential problems.
Existence and analytic approximation of solutions of Duffing type nonlinear integro-differential equation with integral boundary conditions.
Existence and approximate solutions of nonlinear integral equations.
Existence and uniqueness for non-linear singular integral equations used in fluid mechanics
Non-linear singular integral equations are investigated in connection with some basic applications in two-dimensional fluid mechanics. A general existence and uniqueness analysis is proposed for non-linear singular integral equations defined on a Banach space. Therefore, the non-linear equations are defined over a finite set of contours and the existence of solutions is investigated for two different kinds of equations, the first and the second kind. Moreover, the existence of solutions is further...
Extrapolation Method for Fredholm Integral Equations with Non-Smooth Kernels.
Fast methods for the solution of singular integro-differential and differential equations.
Fast Solution Methods for Fredholm Integral Equations of the Second Kind.
Fast solution of periodic integral equations by GMRES.
Fehlerabschätzung für Eigenwertnäherungen nach der Ersatzkernmethode bei Integralgleichungen.
Finite element investigations for the construction of composite solutions of even-parity transport equation.
Finite-part singular integral approximations in Hilbert spaces.
First kind integral equations for the numerical solution of the plane Dirichlet problem
We present, in a uniform manner, several integral equations of the first kind for the solution of the two-dimensional interior Dirichlet boundary value problem. We apply a general numerical collocation method to the various equations, and thereby we compare the various integral equations, and recommend two of them. We give a survey of the various numerical methods, and present a simple method for the numerical solution of the recommended integral equations.
Fonctionnelle quadratique et équations intégrales pour les problèmes d'onde harmonique en domaine extérieur
Fourier approximation for integral equations on the real line.