Numerical Approximation of Partial Differential Equations ( Volume 133 )

Publication series :Volume 133

Author: Ortiz   E. L.  

Publisher: Elsevier Science‎

Publication year: 1987

E-ISBN: 9780080872445

P-ISBN(Paperback): 9780444701404

P-ISBN(Hardback):  9780444701404

Subject: O175.2 Partial Differential Equations;O29 applied mathematics

Language: ENG

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Description

This selection of papers is concerned with problems arising in the numerical solution of differential equations, with an emphasis on partial differential equations. There is a balance between theoretical studies of approximation processes, the analysis of specific numerical techniques and the discussion of their application to concrete problems relevant to engineering and science. Special consideration has been given to innovative numerical techniques and to the treatment of three-dimensional and singular problems. These topics are discussed in several of the invited papers.

The contributed papers are divided into five parts: techniques of approximation theory which are basic to the numerical treatment of differential equations; numerical techniques based on discrete processes; innovative methods based on polynomial and rational approximation; variational inequalities, conformal transformation and asymptotic techniques; and applications of differential equations to problems in science and engineering.

Chapter

Front Cover

pp.:  1 – 4

Copyright Page

pp.:  5 – 10

Preface

pp.:  6 – 14

Contents

pp.:  10 – 6

INVITED PAPERS

pp.:  14 – 142

CONTRIBUTED PAPERS

pp.:  142 – 144

PART I: RESULTS ON COMPUTATIONAL LINEAR ALGEBRA

pp.:  144 – 204

PART II: DISCRETE VARIABLE METHODS

pp.:  204 – 282

PART III: POLYNOMIAL AND RATIONAL APPROXIMATION METHODS

pp.:  282 – 342

PART IV: VARIATIONAL METHODS AND SPECIAL TECHNIQUES

pp.:  342 – 388

PART V: APPLICATIONS

pp.:  388 – 448

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