Basic concepts in computational physics / Benjamin A. Stickler, Ewald Schachinger.
Stickler, Benjamin A., author.; Schachinger, E., author.
2016
QC52
Available Online

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Title Basic concepts in computational physics / Benjamin A. Stickler, Ewald Schachinger.
Author Stickler, Benjamin A., author.
Edition Second edition.
ISBN 9783319272658 (electronic book)
3319272659 (electronic book)
9783319272634
DOI https://doi.org/10.1007/978-3-319-27265-8
Published Cham : Springer, 2016.
Language English
Description 1 online resource (xvi, 409 pages) : illustrations
Item Number 10.1007/978-3-319-27265-8 doi
Call Number QC52
Dewey Decimal Classification 530.1
Summary 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 methods and stochastic methods in computational physics. Based on concrete problems, the first part discusses numerical differentiation and integration, as well as the treatment of ordinary differential equations. This is extended by a brief introduction to the numerics of partial differential equations. The second part deals with the generation of random numbers, summarizes the basics of stochastics, and subsequently introduces Monte-Carlo (MC) methods. Specific emphasis is on MARKOV chain MC algorithms. The final two chapters discuss data analysis and stochastic optimization. All this is again motivated and augmented by applications from physics. In addition, the book offers a number of appendices to provide the reader with information on topics not discussed in the main text. Numerous problems with worked-out solutions, chapter introductions and summaries, together with a clear and application-oriented style support the reader. Ready to use C++ codes are provided online.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed March 28, 2016).
Added Author Schachinger, E., author.
Available in Other Form Print version: 9783319272634
Linked Resources Online Access
Record Appears in Online Resources > Ebooks
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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.

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