Solving Ordinary Differential Equations II

1. Examples of Stiff Equations
Ernst Hairer, Gerhard Wanner

2. Stability Analysis for Explicit RK Methods
Ernst Hairer, Gerhard Wanner

3. Stability Function of Implicit RK-Methods
Ernst Hairer, Gerhard Wanner

4. Order Stars
Ernst Hairer, Gerhard Wanner

5. Construction of Implicit Runge-Kutta Methods
Ernst Hairer, Gerhard Wanner

6. Diagonally Implicit RK Methods
Ernst Hairer, Gerhard Wanner

7. Rosenbrock-Type Methods
Ernst Hairer, Gerhard Wanner

8. Implementation of Implicit Runge-Kutta Methods
Ernst Hairer, Gerhard Wanner

9. Extrapolation Methods
Ernst Hairer, Gerhard Wanner

10. Numerical Experiments
Ernst Hairer, Gerhard Wanner

11. Contractivity for Linear Problems
Ernst Hairer, Gerhard Wanner

12. B-Stability and Contractivity
Ernst Hairer, Gerhard Wanner

13. Positive Quadrature Formulas and B-Stable RK-Methods
Ernst Hairer, Gerhard Wanner

14. Existence and Uniqueness of IRK Solutions
Ernst Hairer, Gerhard Wanner

15. B-Convergence
Ernst Hairer, Gerhard Wanner

16. Stability of Multistep Methods
Ernst Hairer, Gerhard Wanner

17. “Nearly” A-Stable Multistep Methods
Ernst Hairer, Gerhard Wanner

18. Generalized Multistep Methods
Ernst Hairer, Gerhard Wanner

19. Order Stars on Riemann Surfaces
Ernst Hairer, Gerhard Wanner

20. Experiments with Multistep Codes
Ernst Hairer, Gerhard Wanner

21. One-Leg Methods and G-Stability
Ernst Hairer, Gerhard Wanner

22. Convergence for Linear Problems
Ernst Hairer, Gerhard Wanner

23. Convergence for Nonlinear Problems
Ernst Hairer, Gerhard Wanner

24. Algebraic Stability of General Linear Methods
Ernst Hairer, Gerhard Wanner

25. Solving Index 1 Problems
Ernst Hairer, Gerhard Wanner

26. Multistep Methods
Ernst Hairer, Gerhard Wanner

27. Epsilon Expansions for Exact and RK Solutions
Ernst Hairer, Gerhard Wanner

28. Rosenbrock Methods
Ernst Hairer, Gerhard Wanner

29. Extrapolation Methods
Ernst Hairer, Gerhard Wanner

30. Quasilinear Problems
Ernst Hairer, Gerhard Wanner

31. The Index and Various Examples
Ernst Hairer, Gerhard Wanner

32. Index Reduction Methods
Ernst Hairer, Gerhard Wanner

33. Multistep Methods for Index 2 DAE
Ernst Hairer, Gerhard Wanner

34. Runge-Kutta Methods for Index 2 DAE
Ernst Hairer, Gerhard Wanner

35. Order Conditions for Index 2 DAE
Ernst Hairer, Gerhard Wanner

36. Half-Explicit Methods for Index 2 Systems
Ernst Hairer, Gerhard Wanner

37. Computation of Multibody Mechanisms
Ernst Hairer, Gerhard Wanner

38. Symplectic Methods for Constrained Hamiltonian Systems
Ernst Hairer, Gerhard Wanner

Avainsanat: Mathematics, Numerical Analysis, Analysis, Theoretical and Computational Chemistry, Mathematical Methods in Physics, Numerical and Computational Physics, Appl.Mathematics/Computational Methods of Engineering