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TitleConstructive Methods for the Practical Treatment of Integral Equations [electronic resource] : Proceedings of the Conference Mathematisches Forschungsinstitut Oberwolfach, June 24-30, 1984 / edited by G. Hรคmmerlin, K.-H. Hoffmann
ImprintBasel : Birkhรคuser Basel, 1985
Connect tohttp://dx.doi.org/10.1007/978-3-0348-9317-6
Descript 284 p. online resource

CONTENT

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


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