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An Introductory Guide To Computational Methods For The Solution Of Physics Problems
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Book Synopsis An Introductory Guide to Computational Methods for the Solution of Physics Problems by : George Rawitscher
Download or read book An Introductory Guide to Computational Methods for the Solution of Physics Problems written by George Rawitscher and published by . This book was released on 2018 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 solution of 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.
Book Synopsis An Introductory Guide to Computational Methods for the Solution of Physics Problems by : George Rawitscher
Download or read book An Introductory Guide to Computational Methods for the Solution of Physics Problems written by George Rawitscher and published by Springer. This book was released on 2018-10-24 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Computational Problems for Physics by : Rubin H. Landau
Download or read book Computational Problems for Physics written by Rubin H. Landau and published by CRC Press. This book was released on 2018-05-30 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Computational Methods for Physics by : Joel Franklin
Download or read book Computational Methods for Physics written by Joel Franklin and published by Cambridge University Press. This book was released on 2013-05-23 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Computational Physics by : Rubin H. Landau
Download or read book Computational Physics written by Rubin H. Landau and published by Wiley-VCH. This book was released on 1997-08-11 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A Survey of Computational Physics by : Rubin H. Landau
Download or read book A Survey of Computational Physics written by Rubin H. Landau and published by Princeton University Press. This book was released on 2011-10-30 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Computational Physics by : Franz J. Vesely
Download or read book Computational Physics written by Franz J. Vesely and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: Author Franz J. Vesely offers students an introductory text on computational physics, providing them with the important basic numerical/computational techniques. His unique text sets itself apart from others by focusing on specific problems of computational physics. The author also provides a selection of modern fields of research. Students will benefit from the appendixes which offer a short description of some properties of computing and machines and outline the technique of 'Fast Fourier Transformation.'
Book Synopsis Computational Physics by : R. C. Verma
Download or read book Computational Physics written by R. C. Verma and published by New Age International. This book was released on 2007 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Personal Computers Have Become An Essential Part Of The Physics Curricula And Is Becoming An Increasingly Important Tool In The Training Of Students. The Present Book Is An Effort To Provide A Quality And Classroom Tested Resource Material.Salient Features * Topics Have Been Carefully Selected To Give A Flavour Of Computational Techniques In The Context Of A Wide Range Of Physics Problems. * Style Of Presentation Emphasis The Pedagogic Approach, Assuming No Previous Knowledge Of Either Programming In High-Level Language Or Numerical Techniques. * Profusely Illustrated With Diagrams, Graphic Outputs, Programming Hints, Algorithms And Source Codes. * Ideally Suited For Self-Study With A Pc On Desktop. * Accompanied With A Cd Rom With Source Codes Of Selected Problems Saving The User From Typing In The Source Code. * Can Be Adopted As A Two-Semester Course In Universities Running Courses Such As Computer Applications In Physics, Numerical Methods In Physics Or As An Additional Optional Paper In Nodal Centres Of Computer Applications Provided By Ugc In Different Universities. * Meets The Requirements Of Students Of Physics At Undergraduate And Post-Graduate Level In Particular And Physical Sciences, Engineering And Mathematics Students In General.This Book Is An Outcome Of A Book Project Granted By University Grants Commission New Delhi (India).
Book Synopsis Computational Methods in Physics by : Simon Širca
Download or read book Computational Methods in Physics written by Simon Širca and published by Springer. This book was released on 2018-06-21 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Computation in Modern Physics by : William R Gibbs
Download or read book Computation in Modern Physics written by William R Gibbs and published by World Scientific Publishing Company. This book was released on 1999-11-22 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of computers to solve modern scientific problems is very widespread. The impact of the improvement of our techniques on the solution of complex problems is difficult to overstate. Even our approach to most problems has been changed. Solutions to problems once thought intractable are being routinely secured. Instead of using oversimplified models, as has been the practice for the treatment of scientific systems in the past, the entire problem can now be tackled successfully. The second edition of Computation in Modern Physics develops and presents algorithms for the solution of many types of mathematical systems, some dating as far as the last few centuries, but also quite a number that have been developed within the last 10–50 years. In this latter category, close attention is paid to the rapidly developing area of Monte Carlo techniques, where new conceptual views of physics problems are being brought into play. With this method, problems in a large number of dimensions can be solved through the introduction of a modern method for the representation of multidimensional functions. This invaluable book is suitable for two different levels of computational physics. The first part of the book is of an advanced introductory level and is appropriate for good students with no previous experience in computational methods or any student with some experience. Here the student is introduced to integral and differential techniques, Monte Carlo integration, basic computer architecture, methods of linear algebra, finite element techniques, digital signal processing and chaos. The second part of the book is more specialized for problems in strong interaction with emphasis on solutions to many-body scattering problems and several-body bound state calculations with Monte Carlo techniques. It also contains a chapter dealing with techniques for the summation of divergent series.
Book Synopsis Computational Methods in Physics and Engineering by : Samuel S M Wong
Download or read book Computational Methods in Physics and Engineering written by Samuel S M Wong and published by World Scientific Publishing Company. This book was released on 1997-03-15 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical methods are playing an ever-increasing role in physics and engineering. This is especially true after the recent explosion of computing power on the desk-top. This book is aimed at helping the user to make intelligent use of this power tool. Each method is introduced through realistic examples and actual computer programs. The explanations provide the background for making a choice between similar approaches and the knowledge to explore the network for the appropriate existing codes. Tedious proofs and derivations, on the other hand, are delegated to references. Examples of uncoventional methods are also given to stimulate readers in exploring new ways of solving problems. Errata(s) Appendix B, Page 485 “http://www.wspc.com.sg/others/software/3365/ftp.wspc.com.sg/pub/software/3365/” The above links should be replaced with “www.worldscientific.com/doi/suppl/10.1142/3365/suppl_file/3365_software_free.zip”
Book Synopsis Computational Methods for Physicists by : Simon Sirca
Download or read book Computational Methods for Physicists written by Simon Sirca and published by Springer Science & Business Media. This book was released on 2012-12-17 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book helps 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 to the ways to optimize program execution speeds. Many examples are given throughout the chapters, and each chapter is followed by at least a handful of more comprehensive problems which may be dealt with, for example, on a weekly basis in a one- or two-semester course. In these end-of-chapter problems the physics background is pronounced, and the main text preceding them is intended as an introduction or as a later reference. Less stress is given to the explanation of individual algorithms. It is tried to induce in the reader an own independent thinking and a certain amount of scepticism and scrutiny instead of blindly following readily available commercial tools.
Book Synopsis Computational Physics by : Rubin H. Landau
Download or read book Computational Physics written by Rubin H. Landau and published by Wiley-VCH. This book was released on 2007-09-04 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Computational Physics by : Rubin H. Landau
Download or read book Computational Physics written by Rubin H. Landau and published by John Wiley & Sons. This book was released on 2015-09-08 with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Book Synopsis A New Development at the Intersection of Nuclear Structure and Reaction Theory by : Steven Karataglidis
Download or read book A New Development at the Intersection of Nuclear Structure and Reaction Theory written by Steven Karataglidis and published by Springer. This book was released on 2019-06-22 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights a major advance in low-energy scattering theory: the Multi-Channel Algebraic Scattering (MCAS) theory, which represents an attempt to unify structure and reaction theory. It solves the Lippmann–Schwinger equations for low-energy nucleon-nucleus and alpha-nucleus scattering in momentum space, allowing both the bound and scattering states in the compound nucleus formed to be described. Results of various cases are presented and discussed.
Book Synopsis Computational Techniques in Physics by : P. K. MacKeown
Download or read book Computational Techniques in Physics written by P. K. MacKeown and published by Institute of Physics Publishing (GB). This book was released on 1987 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
