Functional Analysis Methods in Numerical Analysis

A strategy theory of solving equations.- A unified approach to the approximate solution of linear integral equations.- The topological degree applied to some problems in approximation theory.- Numerical solution of eigentuple-eigenvector problems in Hilbert spaces.- Improved convergence for linear systems using three-part splittings.- Nonselfadjoint spectral approximation and the finite element method.- Hermite methods for the numerical solution of ordinary initial value problems.- On least squares methods for linear two-point boundary value problems.- Averaging to improve convergence of iterative processes.- On the perturbation theory for generalized inverse operators in Banach spaces.- Boundary value problems for systems of nonlinear partial differential equations.- On the solvability of nonlinear equations involving abstract and differential operators.- Perturbation methods for the solution of linear problems.- Difference approximations to boundary value problems with deviating arguments.- Applications of Banach space interpolation to finite element theory.- A minimax problem in plasticity theory.