| computational physics textbook: Computational Physics Philipp Scherer, 2015-08-08 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 physics textbook: Computation In Modern Physics (Third Edition) William R Gibbs, 2006-05-05 This textbook is suitable for two courses in computational physics. The first is at an advanced introductory level and is appropriate for seniors or first year graduate students. The student is introduced to integral and differential techniques, Monte Carlo integration, basic computer architecture, linear algebra, finite element techniques, digital signal processing and chaos. In this first part of the book, no knowledge of quantum mechanics is assumed. The third edition has expanded treatments of the subjects in each of the first nine chapters and a new section on modern parallel computing, in particular, Beowulf clusters.The second course (the last four chapters) deals with problems in the strong interaction using quantum mechanical techniques, with emphasis on solutions of many-body scattering problems and several-body bound state calculations with Monte Carlo techniques. It also contains a chapter dealing with the numerical summation of divergent series. |
| computational physics textbook: Introduction to Computational Physics for Undergraduates Omair Zubairi, Fridolin Weber, 2018-04-04 This is an introductory textbook on computational methods and techniques intended for undergraduates at the sophomore or junior level in the fields of science, mathematics, and engineering. It provides an introduction to programming languages such as FORTRAN 90/95/2000 and covers numerical techniques such as differentiation, integration, root finding, and data fitting. The textbook also entails the use of the Linux/Unix operating system and other relevant software such as plotting programs, text editors, and mark up languages such as LaTeX. It includes multiple homework assignments. |
| computational physics textbook: Computational Physics Rubin H. Landau, Manuel J Páez, Cristian C. Bordeianu, 2015-06-11 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). |
| computational physics textbook: An Introduction to Computational Physics Tao Pang, 2006-01-19 Thoroughly revised for its second edition, this advanced textbook provides an introduction to the basic methods of computational physics, and an overview of progress in several areas of scientific computing by relying on free software available from CERN. The book begins by dealing with basic computational tools and routines, covering approximating functions, differential equations, spectral analysis, and matrix operations. Important concepts are illustrated by relevant examples at each stage. The author also discusses more advanced topics, such as molecular dynamics, modeling continuous systems, Monte Carlo methods, genetic algorithm and programming, and numerical renormalization. It includes many more exercises. This can be used as a textbook for either undergraduate or first-year graduate courses on computational physics or scientific computation. It will also be a useful reference for anyone involved in computational research. |
| computational physics textbook: Computational Physics Nicholas J. Giordano, 1997 Conveying the excitement and allure of physics, this progressive text uses a computational approach to introduce students to the basic numerical techniques used in dealing with topics and problems of prime interest to today's physicists. *Contains a wealth of topics to allow instructors flexibility in the choice of topics and depth of coverage: *Examines projective motion with and without realistic air resistance. * Discusses planetary motion and the three-body problem. * Explores chaotic motion of the pendulum and waves on a string. * Considers topics relating to fractal growth and stochastic systems. * Offers examples on statistical physics and quantum mechanics. *Contains ample explanations of the necessary algorithms students need to help them write original programs, and provides many example programs and calculations for reference. * Students and instructors may access sample programs through the authors web site: http: //www.physics.purdue.edu/ ng/comp_phys.html *Includes a significant amount of additional material and problems to give students and instructors flexibility in the choice of topics and depth of coverage |
| computational physics textbook: Computational Methods for Physics Joel Franklin, 2013-05-23 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 physics textbook: Applied Computational Physics Joseph F. Boudreau, Eric Scott Swanson, 2018 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. |
| computational physics textbook: Introductory Computational Physics Andi Klein, Alexander Godunov, 2006-03-09 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 textbook: A Survey of Computational Physics Rubin Landau, José Páez, Cristian C. Bordeianu, 2011-10-30 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 textbook: Computational Methods in Physics Simon Širca, Martin Horvat, 2018-06-21 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 physics textbook: Computational Physics David E. Potter, 1973 |
| computational physics textbook: Computational Physics R. C. Verma, 2007 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). |
| computational physics textbook: An Introduction to Computational Physics Tao Pang, 1997-09-28 Textbook introducing basic methods of computational physics and giving overview of several advanced topics; for advanced undergraduate or beginning graduate students. |
| computational physics textbook: Computational Many-Particle Physics Holger Fehske, Ralf Schneider, Alexander Weiße, 2007-12-10 Complicated many-particle problems abound in nature and in research alike. Plasma physics, for example, or statistical and condensed matter physics are all heavily dependent on efficient methods for solving such problems. Addressing graduate students and young researchers, this book presents an overview and introduction to 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. |
| computational physics textbook: Computational Statistical Physics Lucas Böttcher, Hans J. Herrmann, 2021-08-26 Providing a detailed and pedagogical account of the rapidly-growing field of computational statistical physics, this book covers both the theoretical foundations of equilibrium and non-equilibrium statistical physics, and also modern, computational applications such as percolation, random walks, magnetic systems, machine learning dynamics, and spreading processes on complex networks. A detailed discussion of molecular dynamics simulations is also included, a topic of great importance in biophysics and physical chemistry. The accessible and self-contained approach adopted by the authors makes this book suitable for teaching courses at graduate level, and numerous worked examples and end of chapter problems allow students to test their progress and understanding. |
| computational physics textbook: Statistical and Thermal Physics Harvey Gould, Jan Tobochnik, 2021-09-14 A completely revised edition that combines a comprehensive coverage of statistical and thermal physics with enhanced computational tools, accessibility, and active learning activities to meet the needs of today's students and educators This revised and expanded edition of Statistical and Thermal Physics introduces students to the essential ideas and techniques used in many areas of contemporary physics. Ready-to-run programs help make the many abstract concepts concrete. The text requires only a background in introductory mechanics and some basic ideas of quantum theory, discussing material typically found in undergraduate texts as well as topics such as fluids, critical phenomena, and computational techniques, which serve as a natural bridge to graduate study. Completely revised to be more accessible to students Encourages active reading with guided problems tied to the text Updated open source programs available in Java, Python, and JavaScript Integrates Monte Carlo and molecular dynamics simulations and other numerical techniques Self-contained introductions to thermodynamics and probability, including Bayes' theorem A fuller discussion of magnetism and the Ising model than other undergraduate texts Treats ideal classical and quantum gases within a uniform framework Features a new chapter on transport coefficients and linear response theory Draws on findings from contemporary research Solutions manual (available only to instructors) |
| computational physics textbook: A First Course in Computational Physics Paul DeVries, Paul L. DeVries, Javier Hasbun, 2011-01-28 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 |
| computational physics textbook: Computational Physics Franz J. Vesely, 2013-04-18 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.' |
| computational physics textbook: Information, Physics, and Computation Marc Mézard, Andrea Montanari, 2009-01-22 A very active field of research is emerging at the frontier of statistical physics, theoretical computer science/discrete mathematics, and coding/information theory. This book sets up a common language and pool of concepts, accessible to students and researchers from each of these fields. |
| computational physics textbook: Numerical Methods in Physics with Python Alex Gezerlis, 2023-07-20 A standalone text on computational physics combining idiomatic Python, foundational numerical methods, and physics applications. |
| computational physics textbook: Computational Nuclear Physics 1 K. Langanke, Joachim Maruhn, S.E. Koonin, 2013-11-22 A variety of standard problems in theoretical nuclear-structure physics is addressed by the well-documented computer codes presented in this book. Most of these codes were available up to now only through personal contact. The subject matter ranges from microscopic models (the shell, Skyrme-Hartree-Fock, and cranked Nilsson models) through collective excitations (RPA, IBA, and geometric model) to the relativistic impulse approximation, three-body calculations, variational Monte Carlo methods, and electron scattering. The 5 1/4'' high-density floppy disk that comes with the book contains the FORTRAN codes of the problems that are tackled in each of the ten chapters. In the text, the precise theoretical foundations and motivations of each model or method are discussed together with the numerical methods employed. Instructions for the use of each code, and how to adapt them to local compilers and/or operating systems if necessary, are included. |
| computational physics textbook: Effective Computation in Physics Anthony Scopatz, Kathryn D. Huff, 2015-06-25 More physicists today are taking on the role of software developer as part of their research, but software development isnâ??t always easy or obvious, even for physicists. This practical book teaches essential software development skills to help you automate and accomplish nearly any aspect of research in a physics-based field. Written by two PhDs in nuclear engineering, this book includes practical examples drawn from a working knowledge of physics concepts. Youâ??ll learn how to use the Python programming language to perform everything from collecting and analyzing data to building software and publishing your results. In four parts, this book includes: Getting Started: Jump into Python, the command line, data containers, functions, flow control and logic, and classes and objects Getting It Done: Learn about regular expressions, analysis and visualization, NumPy, storing data in files and HDF5, important data structures in physics, computing in parallel, and deploying software Getting It Right: Build pipelines and software, learn to use local and remote version control, and debug and test your code Getting It Out There: Document your code, process and publish your findings, and collaborate efficiently; dive into software licenses, ownership, and copyright procedures |
| computational physics textbook: Computational Problems for Physics Rubin H. Landau, Manuel José Páez, 2018-05-30 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 textbook: Computational Atomic Physics Klaus Bartschat, 2013-06-29 Computational Atomic Physics deals with computational methods for calculating electron (and positron) scattering from atoms and ions, including elastic scattering, excitation, and ionization processes. Each chapter is divided into abstract, theory, computer program with sample input and output, summary, suggested problems, and references. An MS-DOS diskette is included, which holds 11 programs covering the features of each chapter and therefore contributing to a deeper understanding of the field. Thus the book provides a unique practical application of advanced quantum mechanics. |
| computational physics textbook: Computational Methods in Physics, Chemistry and Biology Paul Harrison, 2001-11-28 Providing an accessible introduction to a range of modern computational techniques, this book is perfect for anyone with only a limited knowledge of physics. It leads readers through a series of examples, problems, and practical-based tasks covering the basics to more complex ideas and techniques. The focus is placed on the dynamic area of modern physics, helping readers understand the power and uses of computational physics. * Leads the reader from a basic introduction to more sophisticated techniques * Provides the skill-building exercises necessary to tackle more complex problems * Applies essential techniques to a wide range of key problems |
| computational physics textbook: Computational Physics - A Practical Introduction to Computational Physics and Scientific Computing (using C++), Vol. I Konstantinos Anagnostopoulos, 2016-12-06 This book is an introduction to the computational methods used in physics and other related scientific fields. It is addressed to an audience that has already been exposed to the introductory level of college physics, usually taught during the first two years of an undergraduate program in science and engineering. It assumes no prior knowledge of numerical analysis, programming or computers and teaches whatever is necessary for the solution of the problems addressed in the text. C++ is used for programming the core programs and data analysis is performed using the powerful tools of the GNU/Linux environment. All the necessary software is open source and freely available. The book starts with very simple problems in particle motion and ends with an in-depth discussion of advanced techniques used in Monte Carlo simulations in statistical mechanics. The level of instruction rises slowly, while discussing problems like the diffusion equation, electrostatics on the plane, quantum mechanics and random walks. |
| computational physics textbook: Computational Statistical Physics K.-H. Hoffmann, Michael Schreiber, 2013-03-14 In recent years statistical physics has made significant progress as a result of advances in numerical techniques. While good textbooks exist on the general aspects of statistical physics, the numerical methods and the new developments based on large-scale computing are not usually adequately presented. In this book 16 experts describe the application of methods of statistical physics to various areas in physics such as disordered materials, quasicrystals, semiconductors, and also to other areas beyond physics, such as financial markets, game theory, evolution, and traffic planning, in which statistical physics has recently become significant. In this way the universality of the underlying concepts and methods such as fractals, random matrix theory, time series, neural networks, evolutionary algorithms, becomes clear. The topics are covered by introductory, tutorial presentations. |
| computational physics textbook: Modern Physics with Modern Computational Methods John Morrison, 2020-10-13 Modern Physics with Modern Computational Methods, Third Edition presents the ideas that have shaped modern physics and provides an introduction to current research in the different fields of physics. Intended as the text for a first course in modern physics following an introductory course in physics with calculus, the book begins with a brief and focused account of experiments that led to the formulation of the new quantum theory, while ensuing chapters go more deeply into the underlying physics.In this new edition, the differential equations that arise are converted into sets of linear equation or matrix equations by making a finite difference approximation of the derivatives or by using the spline collocation method. MATLAB programs are described for solving the eigenvalue equations for a particle in a finite well and the simple harmonic oscillator and for solving the radial equation for hydrogen. The lowest-lying solutions of these problems are plotted using MATLAB and the physical significance of these solutions are discussed.Each of the later chapters conclude with a description of modern developments. - Makes critical topics accessible by illustrating them with simple examples and figures - Presents modern quantum mechanical concepts systematically and applies them consistently throughout the book - Utilizes modern computational methods with MATLAB programs to solve the equations that arise in physics, and describes the programs and solutions in detail - Covers foundational topics, including transition probabilities, crystal structure, reciprocal lattices, and Bloch theorem to build understanding of applications, such as lasers and semiconductor devices - Features expanded exercises and problems at the end of each chapter as well as multiple appendices for quick reference |
| computational physics textbook: Introduction to Numerical Programming Titus A. Beu, 2014-09-03 Makes Numerical Programming More Accessible to a Wider Audience Bearing in mind the evolution of modern programming, most specifically emergent programming languages that reflect modern practice, Numerical Programming: A Practical Guide for Scientists and Engineers Using Python and C/C++ utilizes the author’s many years of practical research and teaching experience to offer a systematic approach to relevant programming concepts. Adopting a practical, broad appeal, this user-friendly book offers guidance to anyone interested in using numerical programming to solve science and engineering problems. Emphasizing methods generally used in physics and engineering—from elementary methods to complex algorithms—it gradually incorporates algorithmic elements with increasing complexity. Develop a Combination of Theoretical Knowledge, Efficient Analysis Skills, and Code Design Know-How The book encourages algorithmic thinking, which is essential to numerical analysis. Establishing the fundamental numerical methods, application numerical behavior and graphical output needed to foster algorithmic reasoning, coding dexterity, and a scientific programming style, it enables readers to successfully navigate relevant algorithms, understand coding design, and develop efficient programming skills. The book incorporates real code, and includes examples and problem sets to assist in hands-on learning. Begins with an overview on approximate numbers and programming in Python and C/C++, followed by discussion of basic sorting and indexing methods, as well as portable graphic functionality Contains methods for function evaluation, solving algebraic and transcendental equations, systems of linear algebraic equations, ordinary differential equations, and eigenvalue problems Addresses approximation of tabulated functions, regression, integration of one- and multi-dimensional functions by classical and Gaussian quadratures, Monte Carlo integration techniques, generation of random variables, discretization methods for ordinary and partial differential equations, and stability analysis This text introduces platform-independent numerical programming using Python and C/C++, and appeals to advanced undergraduate and graduate students in natural sciences and engineering, researchers involved in scientific computing, and engineers carrying out applicative calculations. |
| computational physics textbook: An Introductory Guide to Computational Methods for the Solution of Physics Problems George Rawitscher, Victo dos Santos Filho, Thiago Carvalho Peixoto, 2018-10-24 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. |
| computational physics textbook: Computational Approaches in Physics Maria Fyta, 2016-11-01 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. |
| computational physics textbook: Computational Quantum Mechanics Joshua Izaac, Jingbo Wang, 2019-02-15 Quantum mechanics undergraduate courses mostly focus on systems with known analytical solutions; the finite well, simple Harmonic, and spherical potentials. However, most problems in quantum mechanics cannot be solved analytically. This textbook introduces the numerical techniques required to tackle problems in quantum mechanics, providing numerous examples en route. No programming knowledge is required – an introduction to both Fortran and Python is included, with code examples throughout. With a hands-on approach, numerical techniques covered in this book include differentiation and integration, ordinary and differential equations, linear algebra, and the Fourier transform. By completion of this book, the reader will be armed to solve the Schrödinger equation for arbitrarily complex potentials, and for single and multi-electron systems. |
| computational physics textbook: Computational Solid State Physics F. Herman, 2013-03-08 During the past 20 years, solid state physics has become one of the major branches of physics. 1-2 Today over one-third of all scientific articles published in physics deal with solid state 3 topics. During the last two decades, there has also been ra~id growth of scientific computation in a wide variety of fields. -5 The combination of solid state physics and comp~tation may be termed computational solid state physics. This emerging field is distin guished from theoretical solid state physics only to the extent that electronic computers rather than slide rules or backs of envelopes are used to solve numerical or logical problems, test scientific hypotheses, and discover the essential physical content of formal mathematical theories. Papers in computational solid state physics are widely scatter ed in the literature. They can be found in the traditional physics journals and review series, such as The Physical Review and Solid State Physics; in more specialized publications, such as Journal of Computational Physics, Computer Physics Communications, and Methods in Computational Physics; and in the proceedings of a number of re 6 9 cent conferences and seminar courses. - Plans for holding an International Symposium on Computational Solid State Physics in early October 1971 were formulated by Dr. |
| computational physics textbook: Quantum Computation and Quantum Information Michael A. Nielsen, Isaac L. Chuang, 2010-12-09 One of the most cited books in physics of all time, Quantum Computation and Quantum Information remains the best textbook in this exciting field of science. This 10th anniversary edition includes an introduction from the authors setting the work in context. This comprehensive textbook describes such remarkable effects as fast quantum algorithms, quantum teleportation, quantum cryptography and quantum error-correction. Quantum mechanics and computer science are introduced before moving on to describe what a quantum computer is, how it can be used to solve problems faster than 'classical' computers and its real-world implementation. It concludes with an in-depth treatment of quantum information. Containing a wealth of figures and exercises, this well-known textbook is ideal for courses on the subject, and will interest beginning graduate students and researchers in physics, computer science, mathematics, and electrical engineering. |
| computational physics textbook: Computational Physics Darren J. Walker, 2016 |
| computational physics textbook: An Introduction to Computer Simulation Methods Harvey Gould, Jan Tobochnik, 1988 |
| computational physics textbook: Computational Physics Rubin H. Landau, Manuel J P?ez, Cristian C. Bordeianu, 2007-09-04 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 |
| computational physics textbook: Computational Physics Darren Walker, 2022-01-17 This updated edition provides an introduction to computational physics in order to perform physics experiments on the computer. Computers can be used for a wide variety of scientific tasks, from the simple manipulation of data to simulations of real-world events. This book is designed to provide the reader with a grounding in scientific programming. It contains many examples and exercises developed in the context of physics problems. The new edition now uses C++ as the primary language. The book covers topics such as interpolation, integration, and the numerical solutions to both ordinary and partial differential equations. It discusses simple ideas, such as linear interpolation and root finding through bisection, to more advanced concepts in order to solve complex differential equations. It also contains a chapter on high performance computing which provides an introduction to parallel programming. FEATURES: Includes some advanced material as well as the customary introductory topics Uses a comprehensive C++ library and several C++ sample programs ready to use and build into a library of scientific programs Features problem-solving aspects to show how problems are approached and to demonstrate the methods of constructing models and solutions |
| computational physics textbook: Computational Fluid Dynamics Jiri Blazek, 2005-12-20 Computational Fluid Dynamics (CFD) is an important design tool in engineering and also a substantial research tool in various physical sciences as well as in biology. The objective of this book is to provide university students with a solid foundation for understanding the numerical methods employed in today's CFD and to familiarise them with modern CFD codes by hands-on experience. It is also intended for engineers and scientists starting to work in the field of CFD or for those who apply CFD codes. Due to the detailed index, the text can serve as a reference handbook too. Each chapter includes an extensive bibliography, which provides an excellent basis for further studies. |
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computation.
COMPUTATIONAL - Definition & Meaning - Reverso English …
Computational definition: related to the process of calculating or using computers. Check meanings, examples, usage tips, pronunciation, domains, and related words. Discover …
COMPUTATIONAL | English meaning - Cambridge Dictionary
COMPUTATIONAL definition: 1. involving the calculation of answers, amounts, results, etc.: 2. using computers to study…. Learn more.
Computational science - Wikipedia
Computational science, also known as scientific computing, technical computing or scientific computation (SC), is a division of science, and more specifically the Computer Sciences, …
COMPUTATIONAL Definition & Meaning - Merriam-Webster
The meaning of COMPUTATION is the act or action of computing : calculation. How to use computation in a sentence.
Computational - Definition, Meaning & Synonyms - Vocabulary.com
Computational is an adjective referring to a system of calculating or "computing," or, more commonly today, work involving computers. Tasks with a lot of computational steps are best …
What does computational mean? - Definitions.net
Computational refers to anything related to computers, computing (the use or operation of computers), computer science, or the processes involved in manipulating and processing data …
Computational - definition of computational by ... - The Free …
Define computational. computational synonyms, computational pronunciation, computational translation, English dictionary definition of computational. n. 1. a. The act or process of …
computational adjective - Definition, pictures, pronunciation and …
Definition of computational adjective in Oxford Advanced Learner's Dictionary. Meaning, pronunciation, picture, example sentences, grammar, usage notes, synonyms and more.
COMPUTATIONAL - Definition & Translations | Collins English …
Discover everything about the word "COMPUTATIONAL" in English: meanings, translations, synonyms, pronunciations, examples, and grammar insights - all in one comprehensive guide.
Computational Definition & Meaning - YourDictionary
Computational definition: Of or relating to
computation.
COMPUTATIONAL - Definition & Meaning - Reverso English …
Computational definition: related to the process of calculating or using computers. Check meanings, examples, usage tips, pronunciation, domains, and related words. Discover …
