Computational Approaches In Physics

Author : Maria Fyta
Publisher : Morgan & Claypool Publishers
Page : 130 pages
File Size : 42,7 Mb
Release : 2016-11-01
Category : Computers
ISBN : 9781681744186

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Computational Approaches in Physics by Maria Fyta Pdf

Computational Approaches in Physics reviews computational schemes which are used in the simulations of physical systems. These range from very accurate ab initio techniques up to coarse-grained and mesoscopic schemes. The choice of the method is based on the desired accuracy and computational efficiency. A bottom-up approach is used to present the various simulation methods used in Physics, starting from the lower level and the most accurate methods, up to particle-based ones. The book outlines the basic theory underlying each technique and its complexity, addresses the computational implications and issues in the implementation, as well as present representative examples. A link to the most common computational codes, commercial or open source is listed in each chapter. The strengths and deficiencies of the variety of techniques discussed in this book are presented in detail and visualization tools commonly used to make the simulation data more comprehensive are also discussed. In the end, specific techniques are used as bridges across different disciplines. To this end, examples of different systems tackled with the same methods are presented. The appendices include elements of physical theory which are prerequisites in understanding the simulation methods.

Author : Joel Franklin
Publisher : Cambridge University Press
Page : 419 pages
File Size : 48,6 Mb
Release : 2013-05-23
Category : Science
ISBN : 9781107067851

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Computational Methods for Physics by Joel Franklin Pdf

There is an increasing need for undergraduate students in physics to have a core set of computational tools. Most problems in physics benefit from numerical methods, and many of them resist analytical solution altogether. This textbook presents numerical techniques for solving familiar physical problems where a complete solution is inaccessible using traditional mathematical methods. The numerical techniques for solving the problems are clearly laid out, with a focus on the logic and applicability of the method. The same problems are revisited multiple times using different numerical techniques, so readers can easily compare the methods. The book features over 250 end-of-chapter exercises. A website hosted by the author features a complete set of programs used to generate the examples and figures, which can be used as a starting point for further investigation. A link to this can be found at www.cambridge.org/9781107034303.

Author : Simon Širca,Martin Horvat
Publisher : Springer
Page : 880 pages
File Size : 54,9 Mb
Release : 2018-06-21
Category : Science
ISBN : 9783319786193

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Computational Methods in Physics by Simon Širca,Martin Horvat Pdf

This book is intended to help advanced undergraduate, graduate, and postdoctoral students in their daily work by offering them a compendium of numerical methods. The choice of methods pays significant attention to error estimates, stability and convergence issues, as well as optimization of program execution speeds. Numerous examples are given throughout the chapters, followed by comprehensive end-of-chapter problems with a more pronounced physics background, while less stress is given to the explanation of individual algorithms. The readers are encouraged to develop a certain amount of skepticism and scrutiny instead of blindly following readily available commercial tools. The second edition has been enriched by a chapter on inverse problems dealing with the solution of integral equations, inverse Sturm-Liouville problems, as well as retrospective and recovery problems for partial differential equations. The revised text now includes an introduction to sparse matrix methods, the solution of matrix equations, and pseudospectra of matrices; it discusses the sparse Fourier, non-uniform Fourier and discrete wavelet transformations, the basics of non-linear regression and the Kolmogorov-Smirnov test; it demonstrates the key concepts in solving stiff differential equations and the asymptotics of Sturm-Liouville eigenvalues and eigenfunctions. Among other updates, it also presents the techniques of state-space reconstruction, methods to calculate the matrix exponential, generate random permutations and compute stable derivatives.

Author : Paul Harrison
Publisher : John Wiley & Sons
Page : 230 pages
File Size : 41,8 Mb
Release : 2001-11-28
Category : Science
ISBN : 0471495638

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Computational Methods in Physics, Chemistry and Biology by Paul Harrison Pdf

Eine gut verständliche Einführung in moderne naturwissenschaftliche Rechenmethoden! Nur geringe physikalische Vorkenntnisse voraussetzend, vermittelt der Autor Grundlagen und komplexere Ansätze anhand vieler Beispiele und ausgesprochen praxisnaher Übungsaufgaben. Besprochen werden alle Rechenmethoden, die im Grundstudium erlernt werden sollen, hinsichtlich ihrer Leistungsfähigkeit und ihrer Anwendungsgebiete.

Author : Stephen Jardin
Publisher : CRC Press
Page : 372 pages
File Size : 45,5 Mb
Release : 2010-06-02
Category : Computers
ISBN : 1439810958

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Computational Methods in Plasma Physics by Stephen Jardin Pdf

Assuming no prior knowledge of plasma physics or numerical methods, Computational Methods in Plasma Physics covers the computational mathematics and techniques needed to simulate magnetically confined plasmas in modern magnetic fusion experiments and future magnetic fusion reactors. Largely self-contained, the text presents the basic concepts neces

Author : Timon Rabczuk
Publisher : MDPI
Page : 128 pages
File Size : 50,8 Mb
Release : 2019-08-20
Category : Technology & Engineering
ISBN : 9783039214174

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Computational Methods of Multi-Physics Problems by Timon Rabczuk Pdf

This book offers a collection of six papers addressing problems associated with the computational modeling of multi-field problems. Some of the proposed contributions present novel computational techniques, while other topics focus on applying state-of-the-art techniques in order to solve coupled problems in various areas including the prediction of material failure during the lithiation process, which is of major importance in batteries; efficient models for flexoelectricity, which require higher-order continuity; the prediction of composite pipes under thermomechanical conditions; material failure in rock; and computational materials design. The latter exploits nano-scale modeling in order to predict various material properties for two-dimensional materials with applications in, for example, semiconductors. In summary, this book provides a good overview of the computational modeling of different multi-field problems.

Author : Philipp Scherer
Publisher : Springer Science & Business Media
Page : 454 pages
File Size : 42,7 Mb
Release : 2013-07-17
Category : Science
ISBN : 9783319004013

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Computational Physics by Philipp Scherer Pdf

This textbook presents basic and advanced computational physics in a very didactic style. It contains very-well-presented and simple mathematical descriptions of many of the most important algorithms used in computational physics. The first part of the book discusses the basic numerical methods. The second part concentrates on simulation of classical and quantum systems. Several classes of integration methods are discussed including not only the standard Euler and Runge Kutta method but also multi-step methods and the class of Verlet methods, which is introduced by studying the motion in Liouville space. A general chapter on the numerical treatment of differential equations provides methods of finite differences, finite volumes, finite elements and boundary elements together with spectral methods and weighted residual based methods. The book gives simple but non trivial examples from a broad range of physical topics trying to give the reader insight into not only the numerical treatment but also simulated problems. Different methods are compared with regard to their stability and efficiency. The exercises in the book are realised as computer experiments.

Author : M Fyta
Publisher : Myprint
Page : 138 pages
File Size : 55,5 Mb
Release : 2016-11
Category : Electronic
ISBN : 1681747553

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Computational Approaches in Physics by M Fyta Pdf

Author : George Rawitscher,Victo dos Santos Filho,Thiago Carvalho Peixoto
Publisher : Springer
Page : 221 pages
File Size : 55,7 Mb
Release : 2018-10-24
Category : Science
ISBN : 9783319427034

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An Introductory Guide to Computational Methods for the Solution of Physics Problems by George Rawitscher,Victo dos Santos Filho,Thiago Carvalho Peixoto Pdf

This monograph presents fundamental aspects of modern spectral and other computational methods, which are not generally taught in traditional courses. It emphasizes concepts as errors, convergence, stability, order and efficiency applied to the solution of physical problems. The spectral methods consist in expanding the function to be calculated into a set of appropriate basis functions (generally orthogonal polynomials) and the respective expansion coefficients are obtained via collocation equations. The main advantage of these methods is that they simultaneously take into account all available information, rather only the information available at a limited number of mesh points. They require more complicated matrix equations than those obtained in finite difference methods. However, the elegance, speed, and accuracy of the spectral methods more than compensates for any such drawbacks. During the course of the monograph, the authors examine the usually rapid convergence of the spectral expansions and the improved accuracy that results when nonequispaced support points are used, in contrast to the equispaced points used in finite difference methods. In particular, they demonstrate the enhanced accuracy obtained in the solutionof integral equations. The monograph includes an informative introduction to old and new computational methods with numerous practical examples, while at the same time pointing out the errors that each of the available algorithms introduces into the specific solution. It is a valuable resource for undergraduate students as an introduction to the field and for graduate students wishing to compare the available computational methods. In addition, the work develops the criteria required for students to select the most suitable method to solve the particular scientific problem that they are confronting.

Author : Samuel Shaw Ming Wong
Publisher : World Scientific
Page : 524 pages
File Size : 44,7 Mb
Release : 1997
Category : Science
ISBN : 9810230435

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Computational Methods in Physics and Engineering by Samuel Shaw Ming Wong Pdf

Readership: Undergraduates, graduate students, and research scientists in computational physics, engineering, physical science, applied physics, and fractals.

Author : Benjamin A. Stickler,Ewald Schachinger
Publisher : Springer
Page : 409 pages
File Size : 40,7 Mb
Release : 2016-03-21
Category : Science
ISBN : 9783319272658

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Basic Concepts in Computational Physics by Benjamin A. Stickler,Ewald Schachinger Pdf

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.

Author : Holger Fehske,Ralf Schneider,Alexander Weiße
Publisher : Springer
Page : 780 pages
File Size : 54,8 Mb
Release : 2007-12-10
Category : Science
ISBN : 9783540746867

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Computational Many-Particle Physics by Holger Fehske,Ralf Schneider,Alexander Weiße Pdf

Looking for the real state of play in computational many-particle physics? Look no further. This book presents an overview of state-of-the-art numerical methods for studying interacting classical and quantum many-particle systems. A broad range of techniques and algorithms are covered, and emphasis is placed on their implementation on modern high-performance computers. This excellent book comes complete with online files and updates allowing readers to stay right up to date.

Author : Paul DeVries,Paul L. DeVries,Javier Hasbun
Publisher : Jones & Bartlett Learning
Page : 445 pages
File Size : 49,5 Mb
Release : 2011-01-28
Category : Technology & Engineering
ISBN : 9780763773144

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A First Course in Computational Physics by Paul DeVries,Paul L. DeVries,Javier Hasbun Pdf

Computers and computation are extremely important components of physics and should be integral parts of a physicist’s education. Furthermore, computational physics is reshaping the way calculations are made in all areas of physics. Intended for the physics and engineering students who have completed the introductory physics course, A First Course in Computational Physics, Second Edition covers the different types of computational problems using MATLAB with exercises developed around problems of physical interest. Topics such as root finding, Newton-Cotes integration, and ordinary differential equations are included and presented in the context of physics problems. A few topics rarely seen at this level such as computerized tomography, are also included. Within each chapter, the student is led from relatively elementary problems and simple numerical approaches through derivations of more complex and sophisticated methods, often culminating in the solution to problems of significant difficulty. The goal is to demonstrate how numerical methods are used to solve the problems that physicists face. Read the review published in Computing in Science & Engineering magazine, March/April 2011 (Vol. 13, No. 2) ? 2011 IEEE, Published by the IEEE Computer Society

Author : Morten Hjorth-Jensen,Maria Paola Lombardo,Ubirajara van Kolck
Publisher : Springer
Page : 644 pages
File Size : 41,8 Mb
Release : 2017-05-09
Category : Science
ISBN : 9783319533360

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An Advanced Course in Computational Nuclear Physics by Morten Hjorth-Jensen,Maria Paola Lombardo,Ubirajara van Kolck Pdf

This graduate-level text collects and synthesizes a series of ten lectures on the nuclear quantum many-body problem. Starting from our current understanding of the underlying forces, it presents recent advances within the field of lattice quantum chromodynamics before going on to discuss effective field theories, central many-body methods like Monte Carlo methods, coupled cluster theories, the similarity renormalization group approach, Green’s function methods and large-scale diagonalization approaches. Algorithmic and computational advances show particular promise for breakthroughs in predictive power, including proper error estimates, a better understanding of the underlying effective degrees of freedom and of the respective forces at play. Enabled by recent improvements in theoretical, experimental and numerical techniques, the state-of-the art applications considered in this volume span the entire range, from our smallest components – quarks and gluons as the mediators of the strong force – to the computation of the equation of state for neutron star matter. The lectures presented provide an in-depth exposition of the underlying theoretical and algorithmic approaches as well details of the numerical implementation of the methods discussed. Several also include links to numerical software and benchmark calculations, which readers can use to develop their own programs for tackling challenging nuclear many-body problems.

Author : Tao Pang
Publisher : Cambridge University Press
Page : 414 pages
File Size : 53,9 Mb
Release : 2006-01-19
Category : Computers
ISBN : 0521825695

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An Introduction to Computational Physics by Tao Pang Pdf

This advanced textbook provides an introduction to the basic methods of computational physics.