
As scientific technology becomes increasingly more sophisticated, numerical analysts, mathematicians, and engineers have to solve larger and larger problems, necessitating the use of parallel computers. This book presents an up-to-date exposition of the current state of the art of numerical methods for solving ordinary equations in a parallel computing environment. Although the main focus is on problems of initial value type, boundary value problems and partial differentiation equations are also covered. Other chapters are devoted to the parallel solution of linear systems of equation, existing sequential differential equation methods, and the behavior of a parallel code based on wave relaxation.
This text investigates the development and implementation of numerical methods for solving ordinary differential equations within parallel computing environments. Author Kevin Burrage, a recognized expert in numerical analysis, synthesizes current computational strategies to address the increasing scale of mathematical problems in engineering and science. The book provides a rigorous framework for transitioning from sequential algorithms to parallel architectures, focusing on efficiency and stability in high-performance computing.
What You Will Find
Experts identify this work as a technical resource for researchers and graduate students specializing in scientific computation. Readers frequently note the academic density of the prose and the specialized mathematical knowledge required to fully utilize the presented algorithms.
Page Count:
464
Publication Date:
1995-09-14
Publisher:
Clarendon Press
ISBN-10:
0198534329
ISBN-13:
9780198534327
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