Место издания:Basel-Boston-Berlin. Birkhäuser Verlag
Объём:
242 страниц
ISBN:3-7643-2276-4, 0-8176-2276-4
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 stress 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 linear difference equations and describes algorithms for solving systems with scalar and block tri- and pentadiagonal matrices (for example, cyclic reduction, separation variables via the fast Fourier transform and combination methods). The book includes many examples that apply these methods to the solution of specific equations.
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, its is essential reading for every student and specialist who aims at subtle and complete knowledge of this subject.