Book 2014

Basic Concepts in Computational Physics

Authors:

ISBN: 978-3-319-02434-9 (Print) 978-3-319-02435-6 (Online)

Table of contents (20 chapters)

  1. Front Matter

    Pages i-xvii

  2. No Access

    Chapter

    Pages 1-13

    Some Basic Remarks

  3. Deterministic Methods

    1. Front Matter

      Pages 15-15

    2. No Access

      Chapter

      Pages 17-28

      Numerical Differentiation

    3. No Access

      Chapter

      Pages 29-50

      Numerical Integration

    4. No Access

      Chapter

      Pages 51-59

      The Kepler Problem

    5. No Access

      Chapter

      Pages 61-79

      Ordinary Differential Equations: Initial Value Problems

    6. No Access

      Chapter

      Pages 81-96

      The Double Pendulum

    7. No Access

      Chapter

      Pages 97-109

      Molecular Dynamics

    8. No Access

      Chapter

      Pages 111-122

      Numerics of Ordinary Differential Equations: Boundary Value Problems

    9. No Access

      Chapter

      Pages 123-129

      The One-Dimensional Stationary Heat Equation

    10. No Access

      Chapter

      Pages 131-146

      The One-Dimensional Stationary Schrödinger Equation

    11. No Access

      Chapter

      Pages 147-168

      Partial Differential Equations

  4. Stochastic Methods

    1. Front Matter

      Pages 169-169

    2. No Access

      Chapter

      Pages 171-183

      Pseudo Random Number Generators

    3. No Access

      Chapter

      Pages 185-195

      Random Sampling Methods

    4. No Access

      Chapter

      Pages 197-208

      A Brief Introduction to Monte-Carlo Methods

    5. No Access

      Chapter

      Pages 209-228

      The Ising Model

    6. No Access

      Chapter

      Pages 229-250

      Some Basics of Stochastic Processes

    7. No Access

      Chapter

      Pages 251-273

      The Random Walk and Diffusion Theory

    8. No Access

      Chapter

      Pages 275-286

      Markov-Chain Monte Carlo and the Potts Model

    9. No Access

      Chapter

      Pages 287-297

      Data Analysis

    10. No Access

      Chapter

      Pages 299-314

      Stochastic Optimization

  5. Back Matter

    Pages 315-377