Parallel and Sequential Methods for Ordinary Differential Equations
Unique in its field, this book presents "the state of the art" in parallel computational methods for ordinary differential equations. Although the main focus is on problems of initial value type, consideration is also given to boundary value problems and PDEs. A complete chapter is devoted to the parallel solution of linear systems in equations, and the book concludes with a discussion of the behaviour of a parallel code based on waveform relaxation.
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.
Parallel and Sequential Methods for Ordinary Differential Equations
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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.
This new book updates the exceptionally popular Numerical Analysis of Ordinary Differential Equations. "This book is...an indispensible reference for any researcher."
—American Mathematical Society...
In this book we consider a Cauchy problem for a system of ordinary differential equations with a small parameter. The book is divided into th ree parts according to three ways of involving the small...
Due to the fundamental role of differential equations in science and engineering it has long been a basic task of numerical analysts to generate numerical values of solutions to differential...
Since the first edition of this book, geometrical methods in the theory of ordinary differential equations have become very popular and some progress has been made partly with the help of computers...
COib.H BaCHJIbeBHa lU>BaJIeBcR8JI (Sonja Kovalevsky) was born in Moscow in 1850 and died in Stockholm in 1891. Between these years, in the then changing and turbulent circumstances for Europe,...