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Titlebook: Basic Concepts in Computational Physics; Benjamin A. Stickler,Ewald Schachinger Textbook 2016Latest edition Springer Nature Switzerland AG

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期刊全称Basic Concepts in Computational Physics
影响因子2023Benjamin A. Stickler,Ewald Schachinger
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发行地址Now with ready to use C++ program code available online.Contains heavily expanded chapters on molecular dynamics, PDEs, random generators, Monte Carlo applications, data analysis and data optimization
图书封面Titlebook: Basic Concepts in Computational Physics;  Benjamin A. Stickler,Ewald Schachinger Textbook 2016Latest edition Springer Nature Switzerland AG
影响因子.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. Inaddition, 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 appl
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The One-Dimensional Stationary , Equationthe quantum mechanical problem of a particle in a box. This eigenvalue problem is then solved numerically using .’s shooting method. Analytical and numerical results are compared. The problem is then augmented by the introduction of three different potentials. The numerical solution of the new eigen
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