Parallel Algorithms for Partial Differential Equations Foreign Mathematical Classics Series Facsimile Edition 14

Author: Peter
Publisher:
Publish Date: 2006-01-01
Features: This book is highly academic and is suitable for graduate students in mathematics departments, applied mathematicians, and researchers. The numerical methods for partial differential equations are of great significance to many technological developments, and finding numerical solutions for partial differential equations has become a goal of parallel computer hardware and software development. The significant improvement in the performance of parallel computers has made problems that were previously difficult to handle solvable through conventional computations. From June 9 to 13, 1997, IMA held a specialized academic symposium on parallel solutions for partial differential equations. The papers in this volume are based on the presentations made at the symposium, primarily focusing on new approximation methods and the development and review of solution techniques that can utilize parallel computers. The main topics of this book include domain decomposition methods, parallel multigrid methods, forward tracking methods, sparse matrix techniques, adaptive methods, virtual domain methods, and temporal and spatial discretization methods. The book also discusses the applications of various methods in fluid dynamics, radiative transfer, solid mechanics, and semiconductor simulations.