Product Description

This book presents an up-to-date exposition of the current `state of the art' of numerical methods for solving ordinary differential equations in a parallel computing environment. Although the main focus is on problems of initial value type, consideration will also be given to boundary value problems and partial differential equations. Furthermore, because linear algebra is an important component of the solution of differential equations, a complete chapter is devoted to the parallel solution of linear systems of equations. In addition to presenting an overview of parallel computing in general, two chapters are devoted to a summary of existing sequential differential equation methods. The parallel techniques discussed include parallelism across the method, parallelism across the step, parallelism across the system, and dynamic iteration. The book concludes with a chapter on the behaviour of a parallel code based on waveform relaxation. This comprehensive book is unique in its content and provides a balance between theoretical and practical issues by providing general frameworks in which to study parallel methods.

Product Details

• Amazon Sales Rank: #1555607 in Books
• Published on: 1995-08-03
• Original language: English
• Number of items: 1
• Binding: Hardcover
• 464 pages

Review
"This excellent reference book is the first to attempt to survey the full range of methods for the parallel solution of ordinary differential equations....a must for all researchers in the numerical ODE community and for all scientists and engineers involved in the parallel solution of evolutionary problems modeled by differential equations. I recommend it highly."--Computing Reviews
"Useful for many scientists working with large-scale problems arising after the discretization of different mathematical models as well as for numerical analysts working in the area of numerical solution of systems of ordinary differential equations."--Mathematical Reviews