Chapter 1. Introduction

Chapters in this book

1. Frontmatter i
2. Contents v
3. Preface xi
4. Acknowledgements xv
5. Chapter 1. Introduction 1
6. Part I. Laplace’s Equation
7. Introduction 15
8. CHAPTER 2. Dirichlet Problems 19
9. CHAPTER 3. Neumann Problems 41
10. CHAPTER 4. Other Boundary Problems 61
11. CHAPTER 5. Combined Methods 77
12. CHAPTER 6. Source Nodes on Elliptic Pseudo-Boundaries 99
13. Part II. Helmholtz’s Equations and Other Equations
14. Introduction 125
15. CHAPTER 7. Helmholtz Equations in Simply-Connected Domains 127
16. CHAPTER 8. Exterior Problems of Helmholtz Equation 155
17. CHAPTER 9. Helmholtz Equations in Bounded Multiply-Connected Domains 191
18. CHAPTER 10. Biharmonic Equations 215
19. CHAPTER 11. Elastic Problems 247
20. CHAPTER 12. Cauchy Problems 281
21. CHAPTER 13. 3D Problems 301
22. Part III. Selection of Source Nodes and Related Topics
23. Introduction 335
24. CHAPTER 14. Comparisons of MFS and MPS 339
25. CHAPTER 15. Stability Analysis for Smooth Closed Pseudo-Boundaries 361
26. CHAPTER 16. Singularity Problems from Source Functions; Removal Techniques 375
27. CHAPTER 17. Source Nodes on Pseudo Radial-Lines 401
28. Epilogue 427
29. References 431
30. Glossary of Symbols 443
31. Index 449