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Solving PDEs in C++: Numerical Methods in a Unified Object-Oriented Approach

Yair Shapira
Publisher: 
SIAM
Publication Date: 
2006
Number of Pages: 
500
Format: 
Paperback
Series: 
Computational Science and Engineering
Price: 
125.00
ISBN: 
0898716012
Category: 
Textbook
We do not plan to review this book.

 List of Figures; List of Tables; Preface; Part I: Programming. Chapter 1: Introduction to C; Chapter 2: Introduction to C++; Chapter 3: Data Structures; Part II: The Object-Oriented Approach. Chapter 4: Object-Oriented Programming; Chapter 5: Algorithms and Their Object-Oriented Implementation; Chapter 6: Object-Oriented Analysis; Part III: Partial Differential Equations and Their Discretization. Chapter 7: The Convection-Diffusion Equation; Chapter 8: Stability Analysis; Chapter 9: Nonlinear Equations; Chapter 10: Application in Image Processing; Part IV: The Finite-Element Discretization Method. Chapter 11: The Weak Formulation; Chapter 12: Linear Finite Elements; Chapter 13: Unstructured Finite-Element Meshes; Chapter 14: Adaptive Mesh Refinement; Chapter 15: High-Order Finite Elements; Part V: The Numerical Solution of Large Sparse Linear Systems of Equations. Chapter 16: Sparse Matrices and Their Implementation; Chapter 17: Iterative Methods for Large Sparse Linear Systems; Chapter 18: Parallelism; Part VI: Applications. Chapter 19: Diffusion Equations; Chapter 20: The Linear Elasticity Equations; Chapter 21: The Stokes Equations; Chapter 22: Electromagnetic Waves; Appendix; Bibliography; Index.