Basic Concepts in Computational Physics

• Κύριοι συγγραφείς: A. Stickler, Benjamin (Συγγραφέας), Schachinger, Ewald (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Θέματα: Physics.; Chemistry, Physical and theoretical.; Computer mathematics.; Statistical physics.; Dynamical systems.; Applied mathematics.; Engineering mathematics.; Numerical and Computational Physics.; Appl.Mathematics/Computational Methods of Engineering.; Computational Mathematics and Numerical Analysis.; Theoretical and Computational Chemistry.; Statistical Physics, Dynamical Systems and Complexity.

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...

Πίνακας περιεχομένων:

• 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.