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...

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Bibliographic Details
Main Authors: A. Stickler, Benjamin, Schachinger, Ewald (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2014, 2014
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