Author : Uri M. Ascher
Publisher : SIAM
Page : 574 pages
File Size : 49,17 MB
Release : 2011-07-14
Category : Mathematics
ISBN : 0898719976
Offers students a practical knowledge of modern techniques in scientific computing.
Author : Anthony Ralston
Publisher : Courier Corporation
Page : 644 pages
File Size : 20,63 MB
Release : 2001-01-01
Category : Mathematics
ISBN : 9780486414546
Outstanding text, oriented toward computer solutions, stresses errors in methods and computational efficiency. Problems — some strictly mathematical, others requiring a computer — appear at the end of each chapter.
Author : A. Iserles
Publisher : Cambridge University Press
Page : 481 pages
File Size : 43,70 MB
Release : 2009
Category : Mathematics
ISBN : 0521734908
lead the reader to a theoretical understanding of the subject without neglecting its practical aspects. The outcome is a textbook that is mathematically honest and rigorous and provides its target audience with a wide range of skills in both ordinary and partial differential equations." --Book Jacket.
Author : Forman S. Acton
Publisher : American Mathematical Soc.
Page : 549 pages
File Size : 13,34 MB
Release : 2020-07-31
Category : Mathematics
ISBN : 147045727X
Author : Uri M. Ascher
Publisher : SIAM
Page : 574 pages
File Size : 45,5 MB
Release : 2011-07-14
Category : Mathematics
ISBN : 0898719984
Offers students a practical knowledge of modern techniques in scientific computing.
Author : Parviz Moin
Publisher : Cambridge University Press
Page : 257 pages
File Size : 15,67 MB
Release : 2010-08-23
Category : Technology & Engineering
ISBN : 1139489550
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.
Author : Germund Dahlquist
Publisher : SIAM
Page : 742 pages
File Size : 19,65 MB
Release : 2008-01-01
Category : Mathematics
ISBN : 0898717787
This new book from the authors of the classic book Numerical methods addresses the increasingly important role of numerical methods in science and engineering. More cohesive and comprehensive than any other modern textbook in the field, it combines traditional and well-developed topics with other material that is rarely found in numerical analysis texts, such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions. Although this volume is self-contained, more comprehensive treatments of matrix computations will be given in a forthcoming volume. A supplementary Website contains three appendices: an introduction to matrix computations; a description of Mulprec, a MATLAB multiple precision package; and a guide to literature, algorithms, and software in numerical analysis. Review questions, problems, and computer exercises are also included. For use in an introductory graduate course in numerical analysis and for researchers who use numerical methods in science and engineering.
Author : Paul DeVries
Publisher : Jones & Bartlett Learning
Page : 445 pages
File Size : 19,18 MB
Release : 2011-01-28
Category : Technology & Engineering
ISBN : 076377314X
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 : David F. Griffiths
Publisher : Springer Science & Business Media
Page : 274 pages
File Size : 10,44 MB
Release : 2010-11-11
Category : Mathematics
ISBN : 0857291483
Numerical Methods for Ordinary Differential Equations is a self-contained introduction to a fundamental field of numerical analysis and scientific computation. Written for undergraduate students with a mathematical background, this book focuses on the analysis of numerical methods without losing sight of the practical nature of the subject. It covers the topics traditionally treated in a first course, but also highlights new and emerging themes. Chapters are broken down into `lecture' sized pieces, motivated and illustrated by numerous theoretical and computational examples. Over 200 exercises are provided and these are starred according to their degree of difficulty. Solutions to all exercises are available to authorized instructors. The book covers key foundation topics: o Taylor series methods o Runge--Kutta methods o Linear multistep methods o Convergence o Stability and a range of modern themes: o Adaptive stepsize selection o Long term dynamics o Modified equations o Geometric integration o Stochastic differential equations The prerequisite of a basic university-level calculus class is assumed, although appropriate background results are also summarized in appendices. A dedicated website for the book containing extra information can be found via www.springer.com
Author : Steve Otto
Publisher : Springer Science & Business Media
Page : 469 pages
File Size : 28,6 MB
Release : 2005-12-06
Category : Mathematics
ISBN : 1846281334
An elementary first course for students in mathematics and engineering Practical in approach: examples of code are provided for students to debug, and tasks – with full solutions – are provided at the end of each chapter Includes a glossary of useful terms, with each term supported by an example of the syntaxes commonly encountered
