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Numerical Solution of Partial Differential Equations (Paperback, Softcover reprint of the original 1st ed. 1981)
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Numerical Solution of Partial Differential Equations (Paperback, Softcover reprint of the original 1st ed. 1981)
Series: Applied Mathematical Sciences, 32
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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."
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