A Tutorial on Elliptic PDE Solvers and Their Parallelization

Craig C. Douglas, Gundolf Haase, Ulrich Langer (Autoren)

Buch | Softcover

150 Seiten

1987
Society for Industrial & Applied Mathematics,U.S. (Verlag)
978-0-89871-541-5 (ISBN)

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This compact yet thorough tutorial is the perfect introduction to the basic concepts of solving partial differential equations (PDEs) using parallel numerical methods. In just eight short chapters, the authors provide readers with enough basic knowledge of PDEs, discretization methods, solution techniques, parallel computers, parallel programming, and the run-time behavior of parallel algorithms to allow them to understand, develop, and implement parallel PDE solvers. Examples throughout the book are intentionally kept simple so that the parallelization strategies are not dominated by technical details.

A Tutorial on Elliptic PDE Solvers and Their Parallelization is a valuable aid for learning about the possible errors and bottlenecks in parallel computing. One of the highlights of the tutorial is that the course material can run on a laptop, not just on a parallel computer or cluster of PCs, thus allowing readers to experience their first successes in parallel computing in a relatively short amount of time.

Craig C. Douglas is Professor of Computer Science and Mechanical Engineering and Associate Director of the Center for Computational Sciences at the University of Kentucky. He is also Senior Research Scientist of Computer Science at Yale University. Gundolf Haase is a Professor at the Institute of Computational Mathematics at the Johannes Kepler University of Linz, Austria. Ulrich Langer is Head of the Institute of Computational Mathematics at the Johannes Kepler University of Linz, Austria.

List of figures
List of algorithms
Abbreviations and notation
Preface
Chapter 1: Introduction
Chapter 2: A simple example
Chapter 3: Introduction to parallelism
Chapter 4: Galerkin finite element discretization of elliptic partial differential equations
Chapter 5: Basic numerical routines in parallel
Chapter 6: Classical solvers
Chapter 7: Multigrid methods
Chapter 8: Problems not addressed in this book
Appendix: Internet addresses
Bibliography
Index.

Reihe/Serie	Software, Environments and Tools
Verlagsort	New York
Sprache	englisch
Maße	178 x 256 mm
Gewicht	500 g
Themenwelt	Informatik ► Grafik / Design ► Digitale Bildverarbeitung
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
ISBN-10	0-89871-541-5 / 0898715415
ISBN-13	978-0-89871-541-5 / 9780898715415
Zustand	Neuware