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Author : Samuel Shaw Ming Wong
Publisher : World Scientific
Page : 524 pages
File Size : 42,6 Mb
Release : 1997
Category : Science
ISBN : 9810230435
Readership: Undergraduates, graduate students, and research scientists in computational physics, engineering, physical science, applied physics, and fractals.
Author : Simon Sirca,Martin Horvat
Publisher : Springer Science & Business Media
Page : 724 pages
File Size : 40,6 Mb
Release : 2012-12-17
Category : Science
ISBN : 9783642324789
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.
Author : Simon Širca,Martin Horvat
Publisher : Springer
Page : 880 pages
File Size : 44,7 Mb
Release : 2018-06-21
Category : Science
ISBN : 9783319786193
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.
Author : S. P. Venkateshan,Prasanna Swaminathan
Publisher : Springer Nature
Page : 824 pages
File Size : 48,8 Mb
Release : 2023-05-31
Category : Technology & Engineering
ISBN : 9783031082269
The book is designed to serve as a textbook for courses offered to graduate and upper-undergraduate students enrolled in mechanical engineering. The book attempts to make students with mathematical backgrounds comfortable with numerical methods. The book also serves as a handy reference for practicing engineers who are interested in applications. The book is written in an easy-to-understand manner, with the essence of each numerical method clearly stated. This makes it easy for professional engineers, students, and early career researchers to follow the material presented in the book. The structure of the book has been modeled accordingly. It is divided into four modules: i) solution of a system of equations and eigenvalues which includes linear equations, determining eigenvalues, and solution of nonlinear equations; ii) function approximations: interpolation, data fit, numerical differentiation, and numerical integration; iii) solution of ordinary differential equations—initial value problems and boundary value problems; and iv) solution of partial differential equations—parabolic, elliptic, and hyperbolic PDEs. Each section of the book includes exercises to reinforce the concepts, and problems have been added at the end of each chapter. Exercise problems may be solved by using computational tools such as scientific calculators, spreadsheet programs, and MATLAB codes. The detailed coverage and pedagogical tools make this an ideal textbook for students, early career researchers, and professionals.
Author : Somnath Roy,Ashoke De,Elias Balaras
Publisher : Springer Nature
Page : 441 pages
File Size : 43,9 Mb
Release : 2020-05-15
Category : Technology & Engineering
ISBN : 9789811539404
This volume presents the emerging applications of immersed boundary (IB) methods in computational mechanics and complex CFD calculations. It discusses formulations of different IB implementations and also demonstrates applications of these methods in a wide range of problems. It will be of special value to researchers and engineers as well as graduate students working on immersed boundary methods, specifically on recent developments and applications. The book can also be used as a supplementary textbook in advanced courses in computational fluid dynamics.
Author : Joel Franklin
Publisher : Cambridge University Press
Page : 419 pages
File Size : 47,8 Mb
Release : 2013-05-23
Category : Science
ISBN : 9781107067851
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.
Author : Shoichiro Nakamura
Publisher : Unknown
Page : 488 pages
File Size : 43,6 Mb
Release : 1977
Category : Differential equations
ISBN : UCSD:31822011719523
Author : Barry Koren,Kees Vuik
Publisher : Springer Science & Business Media
Page : 501 pages
File Size : 52,7 Mb
Release : 2010-04-29
Category : Mathematics
ISBN : 9783642033872
The aim of the present book is to show, in a broad and yet deep way, the state of the art in computational science and engineering. Examples of topics addressed are: fast and accurate numerical algorithms, model-order reduction, grid computing, immersed-boundary methods, and specific computational methods for simulating a wide variety of challenging problems, problems such as: fluid-structure interaction, turbulent flames, bone-fracture healing, micro-electro-mechanical systems, failure of composite materials, storm surges, particulate flows, and so on. The main benefit offered to readers of the book is a well-balanced, up-to-date overview over the field of computational science and engineering, through in-depth articles by specialists from the separate disciplines.
Author : Stephen Jardin
Publisher : CRC Press
Page : 372 pages
File Size : 50,9 Mb
Release : 2010-06-02
Category : Computers
ISBN : 1439810958
Assuming no prior knowledge of plasma physics or numerical methods, Computational Methods in Plasma Physics covers the computational mathematics and techniques needed to simulate magnetically confined plasmas in modern magnetic fusion experiments and future magnetic fusion reactors. Largely self-contained, the text presents the basic concepts neces
Author : Paul Harrison
Publisher : John Wiley & Sons
Page : 230 pages
File Size : 42,9 Mb
Release : 2001-11-28
Category : Science
ISBN : 0471495638
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.
Author : Paul DeVries,Paul L. DeVries,Javier Hasbun
Publisher : Jones & Bartlett Learning
Page : 445 pages
File Size : 43,6 Mb
Release : 2011-01-28
Category : Technology & Engineering
ISBN : 9780763773144
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
Author : Herbert Koenig
Publisher : Routledge
Page : 416 pages
File Size : 52,7 Mb
Release : 2019-05-20
Category : Technology & Engineering
ISBN : 9781351430616
This book is an introduction to computational mechanics, proceeding from basic computational tools to advanced computational procedures and applications. Emphasis is placed on the numerical techniques and how they form the bases for algorithms. Numerous worked examples in structural mechanics, heat transfer, fluid flow, and biomechanics are given with the numerical codes to illustrate how the methods are applied. A concluding section addresses advanced applications in such areas as finite volume methods and biomechanics.
Author : T E Simos
Publisher : World Scientific
Page : 716 pages
File Size : 47,6 Mb
Release : 2003-08-26
Category : Mathematics
ISBN : 9789814485098
In the past few decades, many significant insights have been gained into several areas of computational methods in sciences and engineering. New problems and methodologies have appeared in some areas of sciences and engineering. There is always a need in these fields for the advancement of information exchange. The aim of this book is to facilitate the sharing of ideas, problems and methodologies between computational scientists and engineers in several disciplines. Extended abstracts of papers on the recent advances regarding computational methods in sciences and engineering are provided. The book briefly describes new methods in numerical analysis, computational mathematics, computational and theoretical physics, computational and theoretical chemistry, computational biology, computational mechanics, computational engineering, computational medicine, high performance computing, etc. Contents:Components for Time Series Receiver Clock Offset in GPS Solutions (P Abad)Some Numerical Methods for Stiff Problems (J C Butcher)Bifurcation Phenomena in Molecular Vibrational Spectroscopy (S C Farantos)Simulations of Spart in Random Fields (D T Hristopoulos)Electric Properties of Substituted Diacetylenes (P Karamanis & G Maroulis)Data Mining and Cryptology (E C Laskari et al.)A Finite Element Approach for the Dirac Radial Equation (L A A Nikolopoulos)Constraint Based Web Mining (I Petrounias et al.)Axisymmetric Rigid Bodies in Creeping Flow (J Roumeliotis)The Impact of Graphics Calculator on Mathematics Education in Asia (C-Y Suen)On the Systematic Construction of Molecular Basis Sets (S Wilson)and other papers Readership: Researchers and graduate students in any discipline involving scientific computation. Keywords:Numerical Analysis;Computational Mathematics;Computational and Theoretical Physics;Computational Chemistry;Computational Biology;Computational Mechanics;Computational Engineering, Computational Medicine;High Performance Computing
Author : Benjamin A. Stickler,Ewald Schachinger
Publisher : Springer
Page : 409 pages
File Size : 50,6 Mb
Release : 2016-03-21
Category : Science
ISBN : 9783319272658
This new edition is a concise introduction to the basic methods of computational physics. Readers will discover the benefits of numerical methods for solving complex mathematical problems and for the direct simulation of physical processes. The book is divided into two main parts: Deterministic methods and stochastic methods in computational physics. Based on concrete problems, the first part discusses numerical differentiation and integration, as well as the treatment of ordinary differential equations. This is extended by a brief introduction to the numerics of partial differential equations. The second part deals with the generation of random numbers, summarizes the basics of stochastics, and subsequently introduces Monte-Carlo (MC) methods. Specific emphasis is on MARKOV chain MC algorithms. The final two chapters discuss data analysis and stochastic optimization. All this is again motivated and augmented by applications from physics. In addition, the book offers a number of appendices to provide the reader with information on topics not discussed in the main text. Numerous problems with worked-out solutions, chapter introductions and summaries, together with a clear and application-oriented style support the reader. Ready to use C++ codes are provided online.
Author : Olaf Kolditz
Publisher : Springer Science & Business Media
Page : 382 pages
File Size : 49,7 Mb
Release : 2013-03-09
Category : Computers
ISBN : 9783662047613
Fluids play an important role in environmental systems appearing as surface water in rivers, lakes, and coastal regions or in the subsurface as well as in the atmosphere. Mechanics of environmental fluids is concerned with fluid motion, associated mass and heat transport as well as deformation processes in subsurface systems. In this reference work the fundamental modelling approaches based on continuum mechanics for fluids in the environment are described, including porous media and turbulence. Numerical methods for solving the process governing equations as well as its object-oriented computer implementation are discussed and illustrated with examples. Finally, the application of computer models in civil and environmental engineering is demonstrated.