Basic Concepts in Computational Physics

• Κύριοι συγγραφείς: Stickler, Benjamin A. (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, 2016.
• Έκδοση: 2nd ed. 2016.
• Θέματα: Physics.; Chemistry, Physical and theoretical.; Computer mathematics.; Numerical and Computational Physics, Simulation.; Mathematical and Computational Engineering.; Computational Mathematics and Numerical Analysis.; Theoretical and Computational Chemistry.

This new edition is a concise introduction to the basic methods of computational physics. Readers will discover the benefits of numerical methods for solving complex mathematical problems and for the direct simulation of physical processes. The book is divided into two main parts: Deterministic meth...

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
• 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
• Appendix: The Two-Body Problem
• Solving Non-Linear Equations. The NEWTON Method
• Numerical Solution of Systems of Equations
• Fast Fourier Transform
• Basics of Probability Theory
• Phase Transitions
• Fractional Integrals and Derivatives in 1D
• Least Squares Fit
• Deterministic Optimization.