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Index
Cover
Front Matter
1. Some Basic Remarks
Part I. Deterministic Methods
2. Numerical Differentiation
3. Numerical Integration
4. The Kepler Problem
5. Ordinary Differential Equations: Initial Value Problems
6. The Double Pendulum
7. Molecular Dynamics
8. Numerics of Ordinary Differential Equations: Boundary Value Problems
9. The One-Dimensional Stationary Heat Equation
10. The One-Dimensional Stationary Schrödinger Equation
11. Partial Differential Equations
Part II. Stochastic Methods
12. Pseudo-random Number Generators
13. Random Sampling Methods
14. A Brief Introduction to Monte-Carlo Methods
15. The Ising Model
16. Some Basics of Stochastic Processes
17. The Random Walk and Diffusion Theory
18. Markov-Chain Monte Carlo and the Potts Model
19. Data Analysis
20. Stochastic Optimization
Back Matter
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