Numerical Methods for Ordinary Differential Equations Initial Value Problems

Authors: David F. Griffiths and Desmond J. Higham Springer Undergraduate Mathematics Series Contents 1. ODEs-An Introduction 2. Euler's Method 3. The Taylor Series Method 4. Linear Multistep Methods-I 5. Linear Multistep Methods-II 6. Linear Multistep Methods-III 7. Linear Multistep Methods-IV 8. Linear Multistep Methods-V 9. Runge-Kutta Mehtod-I:Order Conditions 10. Runge-Kutta Mehtod-II: Absolute Stability 11. Adaptive Step Size Selection 12. Long-term Dynamics 13. Modified Equations 14. Geometric Integration Part I-Invariants 15. Geometric Integration Part II- Hamiltonian Dynamics 16. Stochastic Differential Equations