Constructive Methods for the Practical Treatment of Integral Equations

Inhaltsverzeichnis

• 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.