1549301742-The_Theory_of_Difference_Schemes__Samarskii

THE THEORY OF DIFFERENCE SCHEMES Alexander A. Samarskii Moscow M. V. Lomonosov State University Moscow, Russia \lfARCEL n MARCEL ...

ISBN: 0-8247-0468- This book is printed on acid-free paper. Headquarters Marcel Dekker, Inc. 270 Madison Avenue, New York, NY 10 ...

PURE AND APPLIED MATHEMATICS A Program of Monographs, Textbooks, and Lecture Notes EXECUTIVE EDITORS Earl J. Taft Rutgers Univer ...

MONOGRAPHS AND TEXTBOOKS IN PURE AND APPLIED MATHEMATICS K. Yano, Integral Formulas in Riemannian Geometry (1970) S. Kobayashi, ...

I. Vaisman, Foundations of Three-Dimensional Euclidean Geometry (1980) H. I. Freedan, Deterministic Mathematical Models in Popu ...

D. L. Stancl and M. L. Stancl, Real Analysis with Point-Set Topology (1987) T. C. Gard, Introduction to Stochastic Differential ...

E. C. Young, Vector and Tensor Analysis: Second Edition (1993) T. A. Bick, Elementary Boundary Value Problems (1993) M. Pavel, ...

R. Li et al., Generalized Difference Methods for Differential Equations: Numerical Analysis of Finite Volume Methods (2000) H. ...

...

Preface In the early 1960s, when computers first beca1ne freely available to acade1nic scientists, they spawned a whole new area ...

IV Preface tions. Quite often, the interest in modeling centers as much on getting an appropriate mathematical description of th ...

Preface v the fourth stage the computational procedures need to be investigated and implemented. The fifth stage focuses on the ...

Vl Preface when only a priori estimates of the algorithm quality are available. The same applies equally well to the total nmnbe ...

Preface Vll should be closely linked with further developn1ent of numerical a.lgorih1ns. l\IIa.thematica.1-physics problen1S a.r ...

Vlll Preface choice depends on the type of problems being solved) the set of admissi- ble methods is gradually reduced by succes ...

Preface IX 5 which is devoted to difference schemes for nonstationary equations with constant coefficients we discover asyn1ptot ...

x Preface of the discrete argmnent tj :::::: j T with the values in the space H h (below we omit the subscripts h and T). Multil ...

Preface Xl This condition can easily be verified in the case of discrete schen1es for equations of mathe1natical physics. It all ...

XU Preface special (for the theory of difference tnethods) problems: the determination of the attainable order of accuracy of d ...

Preface Xlll An estimate of the convergence rate for the method of minimal cor- rections is derived in the case when A is a non- ...