Computational Problems For Physics

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Computational Problems for Physics

Author : Rubin H. Landau,Manuel José Páez
Publisher : CRC Press
Page : 465 pages
File Size : 53,7 Mb
Release : 2018-05-30
Category : Science
ISBN : 9781351784023

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Computational Problems for Physics by Rubin H. Landau,Manuel José Páez Pdf

Our future scientists and professionals must be conversant in computational techniques. In order to facilitate integration of computer methods into existing physics courses, this textbook offers a large number of worked examples and problems with fully guided solutions in Python as well as other languages (Mathematica, Java, C, Fortran, and Maple). It’s also intended as a self-study guide for learning how to use computer methods in physics. The authors include an introductory chapter on numerical tools and indication of computational and physics difficulty level for each problem. Readers also benefit from the following features: • Detailed explanations and solutions in various coding languages. • Problems are ranked based on computational and physics difficulty. • Basics of numerical methods covered in an introductory chapter. • Programming guidance via flowcharts and pseudocode. Rubin Landau is a Distinguished Professor Emeritus in the Department of Physics at Oregon State University in Corvallis and a Fellow of the American Physical Society (Division of Computational Physics). Manuel Jose Paez-Mejia is a Professor of Physics at Universidad de Antioquia in Medellín, Colombia.

Computational Physics

Author : Rubin H. Landau,Manuel J. Páez,Cristian C. Bordeianu
Publisher : John Wiley & Sons
Page : 647 pages
File Size : 49,8 Mb
Release : 2015-09-08
Category : Science
ISBN : 9783527413157

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Computational Physics by Rubin H. Landau,Manuel J. Páez,Cristian C. Bordeianu Pdf

The use of computation and simulation has become an essential part of the scientific process. Being able to transform a theory into an algorithm requires significant theoretical insight, detailed physical and mathematical understanding, and a working level of competency in programming. This upper-division text provides an unusually broad survey of the topics of modern computational physics from a multidisciplinary, computational science point of view. Its philosophy is rooted in learning by doing (assisted by many model programs), with new scientific materials as well as with the Python programming language. Python has become very popular, particularly for physics education and large scientific projects. It is probably the easiest programming language to learn for beginners, yet is also used for mainstream scientific computing, and has packages for excellent graphics and even symbolic manipulations. The text is designed for an upper-level undergraduate or beginning graduate course and provides the reader with the essential knowledge to understand computational tools and mathematical methods well enough to be successful. As part of the teaching of using computers to solve scientific problems, the reader is encouraged to work through a sample problem stated at the beginning of each chapter or unit, which involves studying the text, writing, debugging and running programs, visualizing the results, and the expressing in words what has been done and what can be concluded. Then there are exercises and problems at the end of each chapter for the reader to work on their own (with model programs given for that purpose).

A First Course in Computational Physics

Author : Paul DeVries,Paul L. DeVries,Javier Hasbun
Publisher : Jones & Bartlett Learning
Page : 445 pages
File Size : 40,9 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

An Introductory Guide to Computational Methods for the Solution of Physics Problems

Author : George Rawitscher,Victo dos Santos Filho,Thiago Carvalho Peixoto
Publisher : Springer
Page : 221 pages
File Size : 45,6 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.

A Survey of Computational Physics

Author : Rubin H. Landau,José Páez,Cristian C. Bordeianu
Publisher : Princeton University Press
Page : 688 pages
File Size : 52,7 Mb
Release : 2011-10-30
Category : Science
ISBN : 9781400841189

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A Survey of Computational Physics by Rubin H. Landau,José Páez,Cristian C. Bordeianu Pdf

Computational physics is a rapidly growing subfield of computational science, in large part because computers can solve previously intractable problems or simulate natural processes that do not have analytic solutions. The next step beyond Landau's First Course in Scientific Computing and a follow-up to Landau and Páez's Computational Physics, this text presents a broad survey of key topics in computational physics for advanced undergraduates and beginning graduate students, including new discussions of visualization tools, wavelet analysis, molecular dynamics, and computational fluid dynamics. By treating science, applied mathematics, and computer science together, the book reveals how this knowledge base can be applied to a wider range of real-world problems than computational physics texts normally address. Designed for a one- or two-semester course, A Survey of Computational Physics will also interest anyone who wants a reference on or practical experience in the basics of computational physics. Accessible to advanced undergraduates Real-world problem-solving approach Java codes and applets integrated with text Companion Web site includes videos of lectures

Computational Physics

Author : Mark E. J. Newman
Publisher : Createspace Independent Publishing Platform
Page : 0 pages
File Size : 41,9 Mb
Release : 2013
Category : Computational physics
ISBN : 1480145513

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Computational Physics by Mark E. J. Newman Pdf

This book explains the fundamentals of computational physics and describes the techniques that every physicist should know, such as finite difference methods, numerical quadrature, and the fast Fourier transform. The book offers a complete introduction to the topic at the undergraduate level, and is also suitable for the advanced student or researcher. The book begins with an introduction to Python, then moves on to a step-by-step description of the techniques of computational physics, with examples ranging from simple mechanics problems to complex calculations in quantum mechanics, electromagnetism, statistical mechanics, and more.

Computational Methods of Multi-Physics Problems

Author : Timon Rabczuk
Publisher : MDPI
Page : 128 pages
File Size : 53,8 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.

Computational Physics

Author : Rubin H. Landau,Manuel J P?ez,Cristian C. Bordeianu
Publisher : Wiley-VCH
Page : 616 pages
File Size : 45,8 Mb
Release : 2007-09-04
Category : Science
ISBN : 3527406263

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Computational Physics by Rubin H. Landau,Manuel J P?ez,Cristian C. Bordeianu Pdf

This second edition increases the universality of the previous edition by providing all its codes in the Java language, whose compiler and development kit are available for free for essentially all operating systems. In addition, the accompanying CD provides many of the same codes in Fortran 95, Fortran 77, and C, for even more universal application, as well as MPI codes for parallel applications. The book also includes new materials on trial-and-error search techniques, IEEE floating point arithmetic, probability and statistics, optimization and tuning in multiple languages, parallel computing with MPI, JAMA the Java matrix library, the solution of simultaneous nonlinear equations, cubic splines, ODE eigenvalue problems, and Java plotting programs. From the reviews of the first edition: "Landau and Paez's book would be an excellent choice for a course on computational physics which emphasizes computational methods and programming." - American Journal of Physics

Number-Crunching

Author : Paul J. Nahin
Publisher : Princeton University Press
Page : 406 pages
File Size : 44,7 Mb
Release : 2011-08-08
Category : Mathematics
ISBN : 9781400839582

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Number-Crunching by Paul J. Nahin Pdf

More stimulating mathematics puzzles from bestselling author Paul Nahin How do technicians repair broken communications cables at the bottom of the ocean without actually seeing them? What's the likelihood of plucking a needle out of a haystack the size of the Earth? And is it possible to use computers to create a universal library of everything ever written or every photo ever taken? These are just some of the intriguing questions that best-selling popular math writer Paul Nahin tackles in Number-Crunching. Through brilliant math ideas and entertaining stories, Nahin demonstrates how odd and unusual math problems can be solved by bringing together basic physics ideas and today's powerful computers. Some of the outcomes discussed are so counterintuitive they will leave readers astonished. Nahin looks at how the art of number-crunching has changed since the advent of computers, and how high-speed technology helps to solve fascinating conundrums such as the three-body, Monte Carlo, leapfrog, and gambler's ruin problems. Along the way, Nahin traverses topics that include algebra, trigonometry, geometry, calculus, number theory, differential equations, Fourier series, electronics, and computers in science fiction. He gives historical background for the problems presented, offers many examples and numerous challenges, supplies MATLAB codes for all the theories discussed, and includes detailed and complete solutions. Exploring the intimate relationship between mathematics, physics, and the tremendous power of modern computers, Number-Crunching will appeal to anyone interested in understanding how these three important fields join forces to solve today's thorniest puzzles.

Computational Physics

Author : Philipp Scherer
Publisher : Springer Science & Business Media
Page : 454 pages
File Size : 44,7 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.

Computational Methods for Physics

Author : Joel Franklin
Publisher : Cambridge University Press
Page : 128 pages
File Size : 54,9 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.

Applied Computational Physics

Author : Joseph F. Boudreau,Eric Scott Swanson
Publisher : Oxford University Press
Page : 936 pages
File Size : 54,7 Mb
Release : 2018
Category : Science
ISBN : 9780198708636

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Applied Computational Physics by Joseph F. Boudreau,Eric Scott Swanson Pdf

A textbook that addresses a wide variety of problems in classical and quantum physics. Modern programming techniques are stressed throughout, along with the important topics of encapsulation, polymorphism, and object-oriented design. Scientific problems are physically motivated, solution strategies are developed, and explicit code is presented.

An Introduction to Computational Physics

Author : Tao Pang
Publisher : Cambridge University Press
Page : 414 pages
File Size : 53,6 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.

Introductory Computational Physics

Author : Andi Klein,Alexander Godunov
Publisher : Cambridge University Press
Page : 105 pages
File Size : 42,9 Mb
Release : 2006-03-09
Category : Science
ISBN : 9781139447522

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Introductory Computational Physics by Andi Klein,Alexander Godunov Pdf

Computers are one of the most important tools available to physicists, whether for calculating and displaying results, simulating experiments, or solving complex systems of equations. Introducing students to computational physics, this textbook, first published in 2006, shows how to use computers to solve mathematical problems in physics and teaches students about choosing different numerical approaches. It also introduces students to many of the programs and packages available. The book relies solely on free software: the operating system chosen is Linux, which comes with an excellent C++ compiler, and the graphical interface is the ROOT package available for free from CERN. This broad scope textbook is suitable for undergraduates starting on computational physics courses. It includes exercises and many examples of programs. Online resources at www.cambridge.org/0521828627 feature additional reference information, solutions, and updates on new techniques, software and hardware used in physics.

Computational Physics

Author : Rubin H. Landau,Manuel José Páez Mejía
Publisher : Wiley-VCH
Page : 564 pages
File Size : 51,8 Mb
Release : 1997-08-11
Category : Science
ISBN : UOM:39015041315113

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Computational Physics by Rubin H. Landau,Manuel José Páez Mejía Pdf

Help students master real-world problems as they develop new insight into the physical sciences Problems in the physical sciences that once baffled and frustrated scientists can now be solved easily with the aid of a computer. Computers can quickly complete complex calculations, provide numerical simulations of natural systems, and explore the unknown. Computational Physics shows students how to use computers to solve scientific problems and understand systems at a level previously possible only in a research environment. Adaptable to a ten-week class or a full-year course, it provides C and Fortran programs that can be modified and rewritten as needed to implement a wide range of computational projects. Light on theory, heavy on applications, this practical, easy-to-understand guide * Presents material from a problem-oriented perspective * Integrates physics, computer science, and numerical methods and statistics * Encourages creative thinking and an object-oriented view of problem solving * Provides C and Fortran programs for implementing most of the projects * Provides samples of problems actually solved in two ten-week quarters * Includes a 3.5'' floppy disk containing the codes featured in the text * Offers multimedia demonstrations and updates on a complementary Web site With this engaging book as a guide, advanced undergraduates and first-year graduate students will gain confidence in their abilities and develop new insight into the physical sciences as they use their computers to address challenging and stimulating problems.