Conference On Applications Of Numerical Analysis: Held In Dundee/scotland, March 23 - 26, 1971 (lecture Notes In Mathematics)

Edited By John Ll. Morris. Includes Bibliographies. On the identification of systems and some related questions....Pages 1-8 Invariant imbedding: Semigroups in time, space and structure....Pages 9-18 Minimisation de Fonctionnelles Non-Differentiables....Pages 19-38 Nonlinear integral equations and field approximation problems....Pages 39-55 Some modified eigenvalue problems....Pages 56-56 On difference schemes for parabolic differential equations with derivative boundary conditions....Pages 57-69 Cell discretization....Pages 70-85 Circular arithmetic and the determination of polynomial zeros....Pages 86-92 Computation of the moments of solutions of certain random two point boundary value problems....Pages 93-102 Stabilite et Precision des Schemas DSN pour l'Equation de Transport en Geometrie Spherique....Pages 103-136 Some applications of the numerical solution of integral equations to boundary value problems....Pages 137-154 On the inverse eigenvalue problem for matrices and related problems for difference and differential equations....Pages 155-168 The differential correction algorithm for rational L ∞ approximation....Pages 169-169 Resolution Numerique de Certains Problemes Hyperboliques non Lineaires. Methode de Pseudo-Viscosite....Pages 170-206 Stability of discretizations on infinite intervals....Pages 207-222 A rational basis for function approximation....Pages 223-252 Some results on best possible error bounds for finite element methods and approximation with piecewise polynomial functions....Pages 253-263 Removal of an instability in a free convection problem....Pages 264-269 Bounds for the error in approximate solutions of ordinary differential equations....Pages 270-276 Numerical solution of the sturm liouville problem with periodic boundary conditions....Pages 277-289 One dimensional methods for the numerical solution of nonlinear hyperbolic systems....Pages 290-296 The development and application of simultaneous iteration for eigenvalue problems....Pages 297-309 An iterative procedure for the solution of linear and nonlinear equations....Pages 310-315 On weak stability, stability, and the type of a polynomial....Pages 316-320 Error estimates for certain integration rules on the triangle....Pages 321-326 Linear multistep methods with variable matrix coefficients....Pages 327-331 Parode: A new representational method for the numerical solution of partial differential equations....Pages 332-339 On deriving explicit Runge-Kutta methods....Pages 340-347 A finite element for three dimensional function approximation....Pages 348-352 Conformal transformation methods for the numerical solution of harmonic mixed boundary value problems....Pages 353-358