Numerical Methods and Applications

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Guri I. Marchuk
CRC Press, Mar 22, 1994 - Mathematics - 288 pages
1 Review
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 systems of ordinary differential equations, stiff elliptic problems encountered in problems of composite material mechanics, Navier-Stokes systems, and nonstationary problems with discontinuous data. These methods allow natural paralleling of algorithms and will find many applications in vector and parallel computers.
 

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Contents

E G Dyakonov
1
How to Solve Stiff Systems of Differential Equations
45
Investigation of Stability and Approximation
53
G M Kobelkov
81
R P Fedorenko
117
A A Zlotnik
155
N S Bakhvalov and A V Knyazev
221
Index
267
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Page x - Fictitious domain methods and computation of homogenized properties of composites with a periodic structure of essentially different components. In: Marchuk, Guri I.
Page 219 - L^ -estimates of optimal orders for Galerkin methods for one-dimensional second order parabolic and hyperbolic equations, SIAM J.

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