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It has been published by Artibus Asiae Publishers.
This book delivers the core of a systematic collection of numerical methods for theoretical and practical applications in mathematics. The authors have brought together a large number of variously techniques which are suitable to explain and develop the concepts, techniques and principles of numerical methods. Furthermore, numerical methods have been discussed with the aid of concrete problems. A large collection of real examples demonstrate the methods. In this book the notation and terminology of the authors have been used. The topics in this book are classified into the following parts:
Introduction
This part includes the following topics:
1. Numerical Analysis
2. Numerical Methods for Stiff Differential Equations
3. Numerical Methods for Stiff Algebraic Equations
4. Numerical Methods for Nonlinear Problems
5. Numerical Methods for Numerical Optimization Problems
6. Numerical Methods for Partial Differential Equations
7. Numerical Methods for Nonlinear Dynamic Systems
8. Numerical Methods for Applications
Numerical Methods
9. Numerical Solutions to ODEs
10. Numerical Solutions to Cauchy Problems
11. Numerical Solutions to DAEs
12. Numerical Solutions to PDEs
13. Numerical Solving for Initial and Boundary Value Problems
14. Numerical Methods for Numerical Integration
15. Numerical Methods for Dynamic Systems
16. Numerical Methods for Dimensional Reduction
17. Numerical Methods for Automatic Differentiation
18. Numerical Methods for Partial Differential Equations
19. Numerical Methods for Ordinary Differential Equations
20. Numerical Methods for Boundary Value Problems
21. Numerical Methods for Heat Transfer Problems
22. Numerical Methods for the Biological Sciences
23. Numerical Methods for Design Problems
24. Numerical Methods for Computer Graphics
25. Numerical Methods for Systems of Equations
26. Numerical Methods for Systems of Nonlinear Equations
27. Numerical Methods for Systems of Ordinary Differential Equations
28. Numerical Methods for Numerical Differentiation and Integration
29. Numerical Methods 3125841983

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