Computational Methods For Physics And Mathematics
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Computational Methods For Physicists
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Author : Simon Sirca
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-17
Computational Methods For Physicists written by Simon Sirca and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-17 with Science categories.
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.
Computational Methods In Physics
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Author : Simon Širca
language : en
Publisher: Springer
Release Date : 2018-06-21
Computational Methods In Physics written by Simon Širca and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-21 with Science categories.
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.
Computational Methods For Physics
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Author : Joel Franklin
language : en
Publisher: Cambridge University Press
Release Date : 2013-05-23
Computational Methods For Physics written by Joel Franklin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-23 with Science categories.
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.
Computational Methods In Physics And Engineering
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Author : Samuel Shaw Ming Wong
language : en
Publisher: World Scientific
Release Date : 1997
Computational Methods In Physics And Engineering written by Samuel Shaw Ming Wong and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Science categories.
Readership: Undergraduates, graduate students, and research scientists in computational physics, engineering, physical science, applied physics, and fractals.
Computational Methods For Physics And Mathematics
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Author : N. Singh
language : en
Publisher:
Release Date : 2016
Computational Methods For Physics And Mathematics written by N. Singh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Mathematical physics categories.
Computational Methods For Physics And Mathematics
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Author : Nathi Singh
language : en
Publisher:
Release Date : 2017-06-30
Computational Methods For Physics And Mathematics written by Nathi Singh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-30 with Computers categories.
This book is the outcome of lecture notes prepared by the author while teaching courses in computational methods and programming. Two chapters (11 and 12) are devoted specially to solve problems related to physics using computational methods. Fundamental concepts in each article are presented in a simple manner so that students can understand these easily. For further clarification of fundamental concepts, each article is supported by an example, its solution and FORTRAN C programs. At the end of FORTRAN or C program its input data and output results are given. The results obtained from the computer programs are shown in graphical form wherever possible. At the end of each chapter unsolved problems are given. Since C language is popular in colleges, universities and engineering institutions, so each FORTRAN program is translated in C language also. It can serve as text book for teaching course of Computational Methods to postgraduate students. This book will also be useful for graduate, engineering students and researchers of physics, chemistry, mathematics and computer applications.
Computational Methods In Physics Chemistry And Biology
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Author : Paul Harrison
language : en
Publisher: John Wiley & Sons
Release Date : 2001-11-28
Computational Methods In Physics Chemistry And Biology written by Paul Harrison and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-11-28 with Science categories.
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.
Computational Methods In Solid State Physics
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Author : V V Nemoshkalenko
language : en
Publisher: CRC Press
Release Date : 1999-02-19
Computational Methods In Solid State Physics written by V V Nemoshkalenko and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-02-19 with Science categories.
The combination of theoretical physics methods, numerical mathematics and computers has given rise to a new field of physics known as "computational physics." The purpose of this monograph is to present the various methods of computational physics, in particular the methods of band theory. The first chapter of the book provides an introduction to the field and presents the theoretical foundations of band theory. In the second and third chapters the authors describe both traditional and more modern methods of band theory and include practical recommendations for their use. Methods which are discussed include APW (augmented plane wave), Green's function method, LMTO (linear method of MT- orbitals), LKKR (linear Korringer, Kohn and Rostocker method), LAPW (linear augmented plane wave), ASW (augmented spherical waves), and LASO (linear method of augmented Slater orbitals). Great attention is paid to the practical aspects of these theories and the book is structured in such a way as to enable the reader to use any method in practice without reference to other sources.
Computational Problems For Physics
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Author : Rubin H. Landau
language : en
Publisher: CRC Press
Release Date : 2018-05-30
Computational Problems For Physics written by Rubin H. Landau and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-30 with Science categories.
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.
Mathematical Optics
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Author : Vasudevan Lakshminarayanan
language : en
Publisher: CRC Press
Release Date : 2018-10-08
Mathematical Optics written by Vasudevan Lakshminarayanan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-08 with Science categories.
Going beyond standard introductory texts, Mathematical Optics: Classical, Quantum, and Computational Methods brings together many new mathematical techniques from optical science and engineering research. Profusely illustrated, the book makes the material accessible to students and newcomers to the field. Divided into six parts, the text presents state-of-the-art mathematical methods and applications in classical optics, quantum optics, and image processing. Part I describes the use of phase space concepts to characterize optical beams and the application of dynamic programming in optical waveguides. Part II explores solutions to paraxial, linear, and nonlinear wave equations. Part III discusses cutting-edge areas in transformation optics (such as invisibility cloaks) and computational plasmonics. Part IV uses Lorentz groups, dihedral group symmetry, Lie algebras, and Liouville space to analyze problems in polarization, ray optics, visual optics, and quantum optics. Part V examines the role of coherence functions in modern laser physics and explains how to apply quantum memory channel models in quantum computers. Part VI introduces super-resolution imaging and differential geometric methods in image processing. As numerical/symbolic computation is an important tool for solving numerous real-life problems in optical science, many chapters include Mathematica® code in their appendices. The software codes and notebooks as well as color versions of the book’s figures are available at www.crcpress.com.