Topics in Numerical Analysis II
Published on 2. December 2012
280 pages
978-0-323-14134-5 (ISBN)
Description
Topics in Numerical Analysis II contains in complete form, the papers given by the invited speakers to the Conference on Numerical Analysis held under the auspices of the National Committee for Mathematics of the Royal Irish Academy at University College, Dublin from 29th July to 2nd August, 1974. In addition, the titles of the contributed papers are listed together with the names and addresses of the authors who presented them at the conference. This book is divided into 20 chapters that present the papers in their entirety. They discuss such topics as applications of approximation theory to numerical analysis; interior regularity and local convergence of Galerkin finite element approximations for elliptic equations; and numerical estimates for the error of Gauss-Jacobi quadrature formulae. Some remarks on the unified treatment of elementary functions by microprogramming; application of finite difference methods to exploration seismology; and variable coefficient multistep methods for ordinary differential equations applied to parabolic partial differential equations are also presented. Other chapters cover realistic estimates for generic constants in multivariate pointwise approximation; matching of essential boundary conditions in the finite element method; and collocation, difference equations, and stitched function representations. This book will be of interest to practitioners in the fields of mathematics and computer science.
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01/1976
Academic Press
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Content
SponsorsPreface Names and Addresses of Invited SpeakersTitles and Authors of Contributed PapersNames and Addresses of Presenters of Contributed PapersOn a Discretization of yn + ?yk = 0Some Applications of Approximation Theory to Numerical AnalysisInterior Regularity and Local Convergence of Galerkin Finite Element Approximations for Elliptic EquationsNumerical Estimates for the Error of Gauss-Jacobi Quadrature FormulaSome Remarks on the Unified Treatment of Elementary Functions by MicroprogrammingApplication of Finite Difference Methods to Exploration SeismologyVariable Coefficient Multistep Methods for Ordinary Differential Equations Applied to Parabolic Partial Differential EquationsRealistic Estimates for Generic Constants in Multivariate Pointwise ApproximationMatching of Essential Boundary Conditions in the Finite Element MethodCollocation, Difference Equations, and Stitched Function RepresentationsA New Approach to Matrix Theory or Many Facets of the Matrix Decomposition TheoremHybrid Finite Element Methods for Solving 2nd Order Elliptic EquationsApproximation of Fixed Points of Generalized Contraction MappingsThe Use of Differential Inequalities in the Convergence Analysis of the Numerical Solution of Degenerate Parabolic EquationsHausdorff Approximation of Functions and Point SetsMethods of Simultaneous Iteration for Calculating Eigenvectors of MatricesBiconvergence, Instability and Consistency of One-Step Methods for the Numerical Solution of Initial Value Problems in Ordinary Differential EquationsOn the Error Estimation of Chebyshev Series Approximate Solutions to Boundary Value ProblemsNumerical Solution of Evolution Problems in Banach SpacesUnconditionally Stable Finite Element Schemes for Parabolic EquationsAuthor Index
