Numerical Methods For Physics

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Numerical Methods for Physics

Alejando L. Garcia
Numerical Methods for Physics Book PDF

Author : Alejando L. Garcia
Publisher : Createspace Independent Publishing Platform
Page : 0 pages
File Size : 50,8 Mb
Release : 2015-06-06
Category : Differential equations, Partial
ISBN : 1514136686

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Numerical Methods for Physics by Alejando L. Garcia Pdf

This book covers a broad spectrum of the most important, basic numerical and analytical techniques used in physics -including ordinary and partial differential equations, linear algebra, Fourier transforms, integration and probability. Now language-independent. Features attractive new 3-D graphics. Offers new and significantly revised exercises. Replaces FORTRAN listings with C++, with updated versions of the FORTRAN programs now available on-line. Devotes a third of the book to partial differential equations-e.g., Maxwell's equations, the diffusion equation, the wave equation, etc. This numerical analysis book is designed for the programmer with a physics background. Previously published by Prentice Hall / Addison-Wesley

Numerical Methods in Physics with Python

Alex Gezerlis
Numerical Methods in Physics with Python Book PDF

Author : Alex Gezerlis
Publisher : Cambridge University Press
Page : 706 pages
File Size : 53,6 Mb
Release : 2023-05-31
Category : Science
ISBN : 9781009303842

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Numerical Methods in Physics with Python by Alex Gezerlis Pdf

Bringing together idiomatic Python programming, foundational numerical methods, and physics applications, this is an ideal standalone textbook for courses on computational physics. All the frequently used numerical methods in physics are explained, including foundational techniques and hidden gems on topics such as linear algebra, differential equations, root-finding, interpolation, and integration. The second edition of this introductory book features several new codes and 140 new problems (many on physics applications), as well as new sections on the singular-value decomposition, derivative-free optimization, Bayesian linear regression, neural networks, and partial differential equations. The last section in each chapter is an in-depth project, tackling physics problems that cannot be solved without the use of a computer. Written primarily for students studying computational physics, this textbook brings the non-specialist quickly up to speed with Python before looking in detail at the numerical methods often used in the subject.

Fundamentals of Engineering Numerical Analysis

Parviz Moin
Fundamentals of Engineering Numerical Analysis Book PDF

Author : Parviz Moin
Publisher : Cambridge University Press
Page : 128 pages
File Size : 50,9 Mb
Release : 2010-08-23
Category : Technology & Engineering
ISBN : 9781139489553

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Fundamentals of Engineering Numerical Analysis by Parviz Moin Pdf

Since the original publication of this book, available computer power has increased greatly. Today, scientific computing is playing an ever more prominent role as a tool in scientific discovery and engineering analysis. In this second edition, the key addition is an introduction to the finite element method. This is a widely used technique for solving partial differential equations (PDEs) in complex domains. This text introduces numerical methods and shows how to develop, analyse, and use them. Complete MATLAB programs for all the worked examples are now available at www.cambridge.org/Moin, and more than 30 exercises have been added. This thorough and practical book is intended as a first course in numerical analysis, primarily for new graduate students in engineering and physical science. Along with mastering the fundamentals of numerical methods, students will learn to write their own computer programs using standard numerical methods.

Computational Methods for Physics

Joel Franklin
Computational Methods for Physics Book PDF

Author : Joel Franklin
Publisher : Cambridge University Press
Page : 419 pages
File Size : 50,7 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.

Numerical Methods for Physics

Alejandro L. Garcia
Numerical Methods for Physics Book PDF

Author : Alejandro L. Garcia
Publisher : Addison-Wesley Professional
Page : 440 pages
File Size : 54,7 Mb
Release : 2000
Category : Computers
ISBN : UCSD:31822028235901

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Numerical Methods for Physics by Alejandro L. Garcia Pdf

The second edition of this book presents discussion of the main programmes within the main text as language-independent, as opposed to the MATLAB-specific first edition. FORTRAN listings are replaced by C++.

Numerical Methods for Solving Inverse Problems of Mathematical Physics

A. A. Samarskii,Petr N. Vabishchevich
Numerical Methods for Solving Inverse Problems of Mathematical Physics Book PDF

Author : A. A. Samarskii,Petr N. Vabishchevich
Publisher : Walter de Gruyter
Page : 453 pages
File Size : 54,9 Mb
Release : 2008-08-27
Category : Mathematics
ISBN : 9783110205794

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Numerical Methods for Solving Inverse Problems of Mathematical Physics by A. A. Samarskii,Petr N. Vabishchevich Pdf

The main classes of inverse problems for equations of mathematical physics and their numerical solution methods are considered in this book which is intended for graduate students and experts in applied mathematics, computational mathematics, and mathematical modelling.

Computational Methods in Physics

Simon Širca,Martin Horvat
Computational Methods in Physics Book PDF

Author : Simon Širca,Martin Horvat
Publisher : Springer
Page : 880 pages
File Size : 54,5 Mb
Release : 2018-06-21
Category : Science
ISBN : 9783319786193

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Computational Methods in Physics by Simon Širca,Martin Horvat Pdf

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

Computational Physics

Philipp Scherer
Computational Physics Book PDF

Author : Philipp Scherer
Publisher : Springer Science & Business Media
Page : 454 pages
File Size : 50,8 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.

Numerical Methods for Nonlinear Variational Problems

Roland Glowinski
Numerical Methods for Nonlinear Variational Problems Book PDF

Author : Roland Glowinski
Publisher : Springer Science & Business Media
Page : 506 pages
File Size : 44,7 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783662126134

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Numerical Methods for Nonlinear Variational Problems by Roland Glowinski Pdf

This book describes the mathematical background and reviews the techniques for solving problems, including those that require large computations such as transonic flows for compressible fluids and the Navier-Stokes equations for incompressible viscous fluids. Finite element approximations and non-linear relaxation, and nonlinear least square methods are all covered in detail, as are many applications. This volume is a classic in a long-awaited softcover re-edition.

An Introduction to Computational Physics

Tao Pang
An Introduction to Computational Physics Book PDF

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.

Discrete Numerical Methods in Physics and Engineering

Greenspan
Discrete Numerical Methods in Physics and Engineering Book PDF

Author : Greenspan
Publisher : Academic Press
Page : 311 pages
File Size : 42,6 Mb
Release : 1974-05-31
Category : Computers
ISBN : 9780080956169

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Discrete Numerical Methods in Physics and Engineering by Greenspan Pdf

Discrete Numerical Methods in Physics and Engineering

Strongly Correlated Systems

Adolfo Avella,Ferdinando Mancini
Strongly Correlated Systems Book PDF

Author : Adolfo Avella,Ferdinando Mancini
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 47,5 Mb
Release : 2013-04-05
Category : Science
ISBN : 9783642351068

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Strongly Correlated Systems by Adolfo Avella,Ferdinando Mancini Pdf

This volume presents, for the very first time, an exhaustive collection of those modern numerical methods specifically tailored for the analysis of Strongly Correlated Systems. Many novel materials, with functional properties emerging from macroscopic quantum behaviors at the frontier of modern research in physics, chemistry and material science, belong to this class of systems. Any technique is presented in great detail by its own inventor or by one of the world-wide recognized main contributors. The exposition has a clear pedagogical cut and fully reports on the most relevant case study where the specific technique showed to be very successful in describing and enlightening the puzzling physics of a particular strongly correlated system. The book is intended for advanced graduate students and post-docs in the field as textbook and/or main reference, but also for other researchers in the field who appreciate consulting a single, but comprehensive, source or wishes to get acquainted, in a as painless as possible way, with the working details of a specific technique.

Numerical Methods in Photonics

Andrei V. Lavrinenko,Jesper Lægsgaard,Niels Gregersen,Frank Schmidt,Thomas Søndergaard
Numerical Methods in Photonics Book PDF

Author : Andrei V. Lavrinenko,Jesper Lægsgaard,Niels Gregersen,Frank Schmidt,Thomas Søndergaard
Publisher : CRC Press
Page : 362 pages
File Size : 47,8 Mb
Release : 2018-09-03
Category : Science
ISBN : 9781466563896

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Numerical Methods in Photonics by Andrei V. Lavrinenko,Jesper Lægsgaard,Niels Gregersen,Frank Schmidt,Thomas Søndergaard Pdf

Simulation and modeling using numerical methods is one of the key instruments in any scientific work. In the field of photonics, a wide range of numerical methods are used for studying both fundamental optics and applications such as design, development, and optimization of photonic components. Modeling is key for developing improved photonic devices and reducing development time and cost. Choosing the appropriate computational method for a photonics modeling problem requires a clear understanding of the pros and cons of the available numerical methods. Numerical Methods in Photonics presents six of the most frequently used methods: FDTD, FDFD, 1+1D nonlinear propagation, modal method, Green’s function, and FEM. After an introductory chapter outlining the basics of Maxwell’s equations, the book includes self-contained chapters that focus on each of the methods. Each method is accompanied by a review of the mathematical principles in which it is based, along with sample scripts, illustrative examples of characteristic problem solving, and exercises. MATLAB® is used throughout the text. This book provides a solid basis to practice writing your own codes. The theoretical formulation is complemented by sets of exercises, which allow you to grasp the essence of the modeling tools.

Numerical Methods for Differential Equations

J.R. Dormand
Numerical Methods for Differential Equations Book PDF

Author : J.R. Dormand
Publisher : CRC Press
Page : 390 pages
File Size : 45,6 Mb
Release : 1996-02-21
Category : Mathematics
ISBN : 0849394333

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Numerical Methods for Differential Equations by J.R. Dormand Pdf

With emphasis on modern techniques, Numerical Methods for Differential Equations: A Computational Approach covers the development and application of methods for the numerical solution of ordinary differential equations. Some of the methods are extended to cover partial differential equations. All techniques covered in the text are on a program disk included with the book, and are written in Fortran 90. These programs are ideal for students, researchers, and practitioners because they allow for straightforward application of the numerical methods described in the text. The code is easily modified to solve new systems of equations. Numerical Methods for Differential Equations: A Computational Approach also contains a reliable and inexpensive global error code for those interested in global error estimation. This is a valuable text for students, who will find the derivations of the numerical methods extremely helpful and the programs themselves easy to use. It is also an excellent reference and source of software for researchers and practitioners who need computer solutions to differential equations.

Numerical Methods for Metamaterial Design

Kenneth Diest
Numerical Methods for Metamaterial Design Book PDF

Author : Kenneth Diest
Publisher : Springer Science & Business Media
Page : 226 pages
File Size : 52,7 Mb
Release : 2013-08-13
Category : Science
ISBN : 9789400766648

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Numerical Methods for Metamaterial Design by Kenneth Diest Pdf

This book describes a relatively new approach for the design of electromagnetic metamaterials. Numerical optimization routines are combined with electromagnetic simulations to tailor the broadband optical properties of a metamaterial to have predetermined responses at predetermined wavelengths. After a review of both the major efforts within the field of metamaterials and the field of mathematical optimization, chapters covering both gradient-based and derivative-free design methods are considered. Selected topics including surrogate-base optimization, adaptive mesh search, and genetic algorithms are shown to be effective, gradient-free optimization strategies. Additionally, new techniques for representing dielectric distributions in two dimensions, including level sets, are demonstrated as effective methods for gradient-based optimization. Each chapter begins with a rigorous review of the optimization strategy used, and is followed by numerous examples that combine the strategy with either electromagnetic simulations or analytical solutions of the scattering problem. Throughout the text, we address the strengths and limitations of each method, as well as which numerical methods are best suited for different types of metamaterial designs. This book is intended to provide a detailed enough treatment of the mathematical methods used, along with sufficient examples and additional references, that senior level undergraduates or graduate students who are new to the fields of plasmonics, metamaterials, or optimization methods; have an understanding of which approaches are best-suited for their work and how to implement the methods themselves.