Numerical Functional Analysis and Optimization · 2005 · 17 citations · 0 references
Natural SciencesMathematicsDifferential EquationsIntegral EquationsNumerical AlgorithmsNumerical AnalysisNumerical Linear AlgebraNumerical Methods For Differential EquationsOperator TheoryBest ApproximationDifferential Equation SolversInverse Problems In Integral EquationsNumerical Discretization
ABSTRACT The authors determine the inverse of an isomorphism between two Banach spaces, the first of them with a Schauder basis, by means of certain best approximation sequences. As a consequence, they state an algorithm that allows one to solve numerically some linear integral and differential equations.