Место издания:Basel-Boston-Berlin. Birkhäuser Verlag
Объём:
502 страниц
ISBN:3-7643-2277-2, 0-8176-2277-2
Аннотация:This book is devoted to the solution of differential equations arising in mathematical physics, and provides necessary foundations for a thorough understanding of techniques developed recently. In particular, it stresses the development of numerical methods for solving the systems of linear equations that arise from finite-difference approaches to this problem. This volume presents the general theory of iterative methods which forms the basis for construction and analysis of algorithms for solving general linear and nonlinear difference equations. Some of the methods are: The Chebyshev semi-iterative method, conjugate-direction methods, and methods based on matrix splittings such as SOR and Gauss-Seidel. Since its publication in the Soviet Union ten years ago "Numerical Methods for Grid Equations" has become a classic. Revised in 1987 to include new developments, it is essential reading for every student and specialist who aims at subtle and complete knowledge of this subject.