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Constructive Methods for the Practical Treatment of Integral Equations: Proceedings of the Conference at the Mathematisches Forschungsinstitut Oberwolfach, June 24–30, 1984: International Series of Numerical Mathematics, cartea 73

Autor G. Hämmerlin, K. H. Hoffmann
en Limba Engleză Hardback – 1985

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Specificații

ISBN-13: 9783764316853
ISBN-10: 3764316853
Pagini: 284
Ilustrații: 284 p.
Ediția:1985
Editura: Birkhäuser Basel
Colecția Birkhäuser
Seria International Series of Numerical Mathematics

Locul publicării:Basel, Switzerland

Public țintă

Research

Cuprins

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.