Constructive Methods for the Practical Treatment of Integral Equations: Proceedings of the Conference at the Mathematisches Forschungsinstitut Oberwol

ISBN-13: 9783034899932 / Angielski / Miękka / 2011 / 284 str.

G. Hammerlin; K. H. Hoffmann

Opis

O I 1 -1 durch die GauB-Quadraturformel Q I n n L w 0 f (x 0) - i=1 1 1 Sei Rn: = I - Q das Fehlerfunktional. n Izl1, Fur eine im Kreis Kr I Kr: = {z E a: holomorphe Funktion f, f(z) = L i=O sei f i i - = x . ( 1. 1): = sup{ I a 0 I r i E: JN und R (qo) * O}, qo (x) o 1 n 1 1 In Xr: = {f: f holomorph in Kr und Iflr

Spis treści

Die Fehlernorm spezieller Gauss-Quadraturformeln.- Solving integral equations on surfaces in space.- An adaptive step size control for Volterra integral equations.- Concerning A(?)-stable mixed Volterra Runge-Kutta methods.- Constrained approximation techniques for solving integral equations.- On the numerical solution by collocation of Volterra integrodifferential equations with nonsmooth solutions.- Inclusion of regular and singular solutions of certain types of integral equations.- Two methods for solving the inverse scattering problem for time-harmonic acoustic waves.- Beyond superconvergence of collocation methods for Volterra integral equations of the first kind.- Optimal discrepancy principles for the Tikhonov regularization of integral equations of the first kind.- Spline-Galerkin method for solving some quantum mechanic integral equations.- Integral treatment of O.D.E with splines.- Product integration for weakly singular integral equations in ?m.- Stability results for discrete Volterra equations: Numerical experiments.- The design of acoustic torpedos.- On the condition number of boundary integral equations in acoustic scattering using combined double- and single-layer potentials.- Numerical solution of singular integral equations and an application to the theory of jet-flapped wings.- Tikhonov-Phillips regularization of the Radon Transform.- Numerical solution of a first kind Fredholm integral equation arising in electron-atom scattering.- Approximate solution of ill-posed equations: Arbitrarily slow convergence vs. superconvergence.- A unified analysis of discretization methods for Volterra-type equations.- Wiener-Hopf integral equations: Finite section approximation and projection methods..- Stability results for Abel equation.- Problems.