Splines and Variational Methods

Partial table of contents: INTRODUCTORY IDEAS. Linear Spaces. LAGRANGIAN INTERPOLATES. On Polynomials. Best Approximation and Extended Error Estimates. HERMITIAN INTERPOLATES. Computation of Piecewise Cubic Hermites. The Hermite-Birkhoff Interpolation Problem. POLYNOMIAL SPLINES AND GENERALIZATIONS. APPROXIMATING FUNCTIONS OF SEVERAL VARIABLES. Surface Fitting. Tensor Products. FUNDAMENTALS FOR VARIATIONAL METHODS. Linear Operators. Norms, Convergence and Completeness. THE FINITE ELEMENT METHOD. Applications to the Dirichlet Problem. Coerciveness and Rates of Convergence. Curved Boundaries and Nonconforming Elements. THE METHOD OF COLLOCATION. Glossary of Symbols. Index.Prenter, P. M. is the author of 'Splines and Variational Methods', published 1989 under ISBN 9780471504023 and ISBN 0471504025.