Titlebook: Numerical Treatment of Integral Equations / Numerische Behandlung von Integralgleichungen; Workshop on Numerica J. Albrecht,L. Collatz Book

chronology

Halfhearted

Hamper

,Ein Extrapolationsverfahren für Volterra-Integralgleichungen 2. Art,thod is based on the existence of an asymptotic expansion in even powers of the stepsize h for the midpoint-rule; for evaluating the occuring integrals the Gaussian quatrature rule is used. Convergence and stability properties of the method are investigated, and a few numerical results are given.

anachronistic

The Simultaneous Use of Differential and Integral Equations in One Physical Problem,ntial and integral forms and each should be employed simultaneously in different regions of the domain. This in turn encourages engineers to use different methodologies in each region instead of a single methodology as commonly done for the entire region.

技術(shù)

Mesh Refinement Methods for Integral Equations,of problems. The object of this paper is to consider the application of those methods to the solution of nonlinear integral equations including eigenproblems for integral operators. This paper will also include a report on some numerical experiments with these methods.

Antagonist

駭人

Die Numerische Behandlung von Integralgleichungen Zweiter Art Mittels Splinefunktionen,function spaces with one-dimensional domain, but the results obtained for this special case can be generalized. Further, the applicability of the method to integral equations with weak singular kernel is investigated.

BIAS

,The Numerical Solution of Laplace’s Equation in Three Dimensions—II,ation over U is solved numerically using Galerkin’s method, with spherical harmonics as the basis functions. The resulting numerical method converges rapidly, although great care must be taken to evaluate the Galerkin coefficients as efficiently as possible.

Nomadic

不出名