Numerical Solution of Partial Differential Equations (Applied Mathematical Sciences) pdf epub fb2

Numerical Solution of Partial Differential Equations (Applied Mathematical Sciences) by - pdf epub fb2

Numerical Solution of Partial Differential Equations (Applied Mathematical Sciences) Author: -
Title: Numerical Solution of Partial Differential Equations (Applied Mathematical Sciences)
ISBN: 0387905502
ISBN13: 978-0387905501
Other Formats: azw mobi azw mobi
Pages: 556 pages
Publisher: Springer; Softcover reprint of the original 1st ed. 1981 edition (February 2, 1981)
Language: English
Category: Science & Math
Size PDF version: 1628 kb
Size EPUB version: 1244 kb
Subcategory: Mathematics




This book is the result of two courses of lectures given at the University of Cologne in Germany in 1974/75. The majority of the students were not familiar with partial differential equations and functional analysis. This explains why Sections 1, 2, 4 and 12 contain some basic material and results from these areas. The three parts of the book are largely independent of each other and can be read separately. Their topics are: initial value problems, boundary value problems, solutions of systems of equations. There is much emphasis on theoretical considerations and they are discussed as thoroughly as the algorithms which are presented in full detail and together with the programs. We believe that theoretical and practical applications are equally important for a genuine understa- ing of numerical mathematics. When writing this book, we had considerable help and many discussions with H. W. Branca, R. Esser, W. Hackbusch and H. Multhei. H. Lehmann, B. Muller, H. J. Niemeyer, U. Schulte and B. Thomas helped with the completion of the programs and with several numerical calculations. Springer-Verlag showed a lot of patience and under­ standing during the course of the production of the book. We would like to use the occasion of this preface to express our thanks to all those who assisted in our sometimes arduous task.