1549301742-The_Theory_of_Difference_Schemes__Samarskii

Contents

Preface 111

1 Prelin1inaries 1

1.1 Difference equations l

1.2 So1ne variants of the eliinination n1ethocl ;34

2 Basic concepts of the theory of difference schemes 41

2.1 Relevant ele1nents of functional analysis 41

2.2 Difference approximation of ele1nentary differential operators 50

2.3 Stability of a difference sche1ne 87

2.4 Mathematical apparatus in the theory of difference sche1nes 98

2.5 Difference sche1nes as operator equations.

General formulations 116

3 Ho111ogeneous difference sche111es 145

3 .1 Homogeneous schen1es for second-order equations with

variable coefficients 145

xv