Numerical Solution of Partial Differential Equations

1. Front Matter

   Pages n2-viii

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2. Initial Value Problems for Hyperbolic and Parabolic Differential Equations

   • Theodor Meis, Ulrich Marcowitz

   Pages 1-206

3. Boundary Value Problems for Elliptic Differential Equations

   • Theodor Meis, Ulrich Marcowitz

   Pages 207-333

4. Solving Systems of Equations

   • Theodor Meis, Ulrich Marcowitz

   Pages 334-443

5. Back Matter

   Pages 444-543

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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.

• Boundary value problem
• Equations
• Numerische Mathematik
• Partielle Differentialgleichung
• Solutions
• differential equation
• functional analysis
• partial differential equation

• Mathematisches Institut der Universität zu Köln, Köln 41, Federal Republic of Germany

  Theodor Meis, Ulrich Marcowitz

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