Table of contents for Solving PDEs in C++ : numerical methods in a unified object-oriented approach / Yair Shapira.


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Preface; Part I. Programming: 1. Introduction to C; 2. Introduction to C++; 3. Data structures; Part II. The Object-Oriented Approach: 4. Object-oriented programming; 5. Algorithms and their object-oriented implementation; 6. Object-oriented analysis; Part III. Partial Differential Equations and Their Discretization: 7. The convection-diffusion equation; 8. Stability analysis; 9. Nonlinear equations; 10. Application in image processing; Part IV. The Finite-Element Discretization Method: 11. The weak formulation; 12. Linear finite elements; 13. Unstructured finite-element meshes; 14. Adaptive mesh refinement; 15. High-order finite elements; Part V. The Numerical Solution of Large Sparse Linear Systems of Equations: 16. Sparse matrices and their implementation; 17. Iterative methods for large sparse linear systems; 18. Parallelism; Part VI. Applications: 19. Diffusion equations; 20. The linear elasticity equations; 21. The Stokes equations; 22. Electromagnetic waves; Appendix; Bibliography; Index.


Library of Congress subject headings for this publication:
Differential equations, Partial.
C++ (Computer program language)
Object-oriented programming (Computer science)