Basic Concepts in Computational Physics
With the development of ever more powerful computers a new branch of physics and engineering evolved over the last few decades: Computer Simulation or Computational Physics. It serves two main purposes: - Solution of complex mathematical problems such as, differential equations, minimization/optimiz...
Main Authors: | , |
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Format: | eBook |
Language: | English |
Published: |
Cham
Springer International Publishing
2014, 2014
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Edition: | 1st ed. 2014 |
Subjects: | |
Online Access: | |
Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Some Basic Remarks
- Part I Deterministic Methods: Numerical Differentiation
- Numerical Integration
- The KEPLER Problem
- Ordinary Differential Equations – Initial Value Problems
- The Double Pendulum
- Molecular Dynamics
- Numerics of Ordinary Differential Equations - Boundary Value Problems
- The One-Dimensional Stationary Heat Equation
- The One-Dimensional Stationary SCHRÖDINGER Equation
- Numerics of Partial Differential Equations
- Part II Stochastic Methods
- Pseudo Random Number Generators
- Random Sampling Methods
- A Brief Introduction to Monte-Carlo Methods
- The ISING Model
- Some Basics of Stochastic Processes
- The Random Walk and Diffusion Theory
- MARKOV-Chain Monte Carlo and the POTTS Model
- Data Analysis
- Stochastic Optimization