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Much applied and theoretical research in natural sciences leads to boundary-value problems stated in terms of differential equations. When solving these problems with computers, the differential problems are replaced approximately by difference schemes.This book is an introduction to the theory of difference schemes, and was written as a textbook for university mathematics and physics departments and for technical universities. Some sections of the book will be of interest to computations specialists.While stressing a mathematically rigorous treatment of model problems, the boo

Difference equations. --- Differential equations, Linear. --- Linear differential equations --- Linear systems --- Calculus of differences --- Differences, Calculus of --- Equations, Difference --- Equations aux derivees partielles --- Equations aux differences --- Methodes numeriques --- Differences finies