Numerical Methods and Applications

Editor - Guri I. Marchuk

Institute of Numerical Mathematics, Russian Academy of Sciences, Mosc ow

This book presents new original numerical methods that have been developed to the stage of concrete algorithms and successfully applied to practical problems in mathematical physics. The book discusses new methods for solving stiff syste ms of ordinary differential equations, stiff elliptic problems encountered in pr oblems of composite material mechanics, Navier-Stokes systems, and nonstationary problems with discontinuous data. These methods allow natural paralleling of al gorithms and will find many applications in vector and parallel computers.

AUDIENCE

Specialists in numerical methods, practical computer users solving research a nd engineering problems, and students in mathematics, engineering, and physics.

FEATURES

• Presents a multitude of various problems and approaches for solving them
• Features new contributions from world-renowned mathematicians
• Proposes methods oriented to applications in vector and parallel computers

CONTENTS

• Iterative Methods Based on Linearization for Nonlinear Elliptic Grid Systems (E.G. Dyakonov).
• How to Solve Stiff Systems of Differential Equations by Explicit Methods (V. I. Lebedev).
• On Numerical Methods of Solving Navier-Stokes Equations in "Velocity-Pressur e" Variables (G.M. Kobelkov).
• Stiff Systems of Ordinary Differential Equations (R.P. Fedorenko).
• Convergence Rate Estimates of Finite Element Methods for Second-Order Hyperb olic Equations (A.A. Zlotnik).
• Fictitious Domain Methods and Computation of Homogenized Properties of Compo sites (N.S. Bakhvalov and A.V. Knyazev).

Publication and Pricing

Catalog no. 8947

February 1994, 272 pp., ISBN: 0-8493-8947-X

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