Chapter 2. The basics of the theory of finite-difference schemes

Kapitel in diesem Buch

1. Frontmatter i
2. Preface v
3. Contents ix
4. Part I. Basic equations of continuum mechanics
5. Chapter 1. Basic equations of continuous media 3
6. Part II. Theory of finite-difference schemes
7. Chapter 2. The basics of the theory of finite-difference schemes 71
8. Chapter 3. Methods for solving systems of algebraic equations 122
9. Chapter 4. Methods for solving boundary value problems for systems of differential equations 160
10. Part III. Finite-difference methods for solving nonlinear evolution equations of continuum mechanics
11. Chapter 5. Wave propagation problems 197
12. Chapter 6. Finite-difference splitting method for solving dynamic and quasistatic boundary value problems 263
13. Chapter 7 Solution of elastoplastic dynamic and quasistatic problems with finite deformations 298
14. Chapter 8. Modeling of damage and fracture of inelastic materials and structures 354
15. Bibliography 411
16. Index 422