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Numerical Methods


Numerical Methods
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Numerical Methods That Work


Numerical Methods That Work
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Author : Forman S. Acton
language : en
Publisher: MAA
Release Date : 1990

Numerical Methods That Work written by Forman S. Acton and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.


A commonsense approach to numerical algorithms for the solution of equations.



Analysis Of Numerical Methods


Analysis Of Numerical Methods
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Author : Eugene Isaacson
language : en
Publisher: Courier Corporation
Release Date : 2012-04-26

Analysis Of Numerical Methods written by Eugene Isaacson and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-26 with Mathematics categories.


This excellent text for advanced undergraduate and graduate students covers norms, numerical solutions of linear systems and matrix factoring, eigenvalues and eigenvectors, polynomial approximation, and more. Many examples and problems. 1966 edition.



Numerical Methods For Ordinary Differential Equations


Numerical Methods For Ordinary Differential Equations
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Author : David F. Griffiths
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-11

Numerical Methods For Ordinary Differential Equations written by David F. Griffiths 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 2010-11-11 with Mathematics categories.


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



Riemann Solvers And Numerical Methods For Fluid Dynamics


Riemann Solvers And Numerical Methods For Fluid Dynamics
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Author : Eleuterio F. Toro
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-21

Riemann Solvers And Numerical Methods For Fluid Dynamics written by Eleuterio F. Toro 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 2009-04-21 with Technology & Engineering categories.


High resolution upwind and centered methods are a mature generation of computational techniques. They are applicable to a wide range of engineering and scientific disciplines, Computational Fluid Dynamics (CFD) being the most prominent up to now. This textbook gives a comprehensive, coherent and practical presentation of this class of techniques. For its third edition the book has been thoroughly revised to contain new material.



Numerical Methods For Engineers And Scientists Second Edition


Numerical Methods For Engineers And Scientists Second Edition
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Author : Joe D. Hoffman
language : en
Publisher: CRC Press
Release Date : 2001-05-31

Numerical Methods For Engineers And Scientists Second Edition written by Joe D. Hoffman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-05-31 with Mathematics categories.


Emphasizing the finite difference approach for solving differential equations, the second edition of Numerical Methods for Engineers and Scientists presents a methodology for systematically constructing individual computer programs. Providing easy access to accurate solutions to complex scientific and engineering problems, each chapter begins with objectives, a discussion of a representative application, and an outline of special features, summing up with a list of tasks students should be able to complete after reading the chapter- perfect for use as a study guide or for review. The AIAA Journal calls the book "...a good, solid instructional text on the basic tools of numerical analysis."



Numerical Methods


Numerical Methods
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Author : Germund Dahlquist
language : en
Publisher: Courier Corporation
Release Date : 2012-04-26

Numerical Methods written by Germund Dahlquist and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-26 with Mathematics categories.


"Substantial, detailed and rigorous . . . readers for whom the book is intended are admirably served." — MathSciNet (Mathematical Reviews on the Web), American Mathematical Society. Practical text strikes fine balance between students' requirements for theoretical treatment and needs of practitioners, with best methods for large- and small-scale computing. Prerequisites are minimal (calculus, linear algebra, and preferably some acquaintance with computer programming). Text includes many worked examples, problems, and an extensive bibliography.



Numerical Methods And Software


Numerical Methods And Software
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Author : David Kahaner
language : en
Publisher:
Release Date : 1988

Numerical Methods And Software written by David Kahaner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Computers categories.


Mathematics of Computing -- Numerical Analysis.



Numerical Methods For Two Point Boundary Value Problems


Numerical Methods For Two Point Boundary Value Problems
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Author : Herbert B. Keller
language : en
Publisher: Courier Dover Publications
Release Date : 2018-11-14

Numerical Methods For Two Point Boundary Value Problems written by Herbert B. Keller and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-14 with Mathematics categories.


Elementary yet rigorous, this concise treatment explores practical numerical methods for solving very general two-point boundary-value problems. The approach is directed toward students with a knowledge of advanced calculus and basic numerical analysis as well as some background in ordinary differential equations and linear algebra. After an introductory chapter that covers some of the basic prerequisites, the text studies three techniques in detail: initial value or "shooting" methods, finite difference methods, and integral equations methods. Sturm-Liouville eigenvalue problems are treated with all three techniques, and shooting is applied to generalized or nonlinear eigenvalue problems. Several other areas of numerical analysis are introduced throughout the study. The treatment concludes with more than 100 problems that augment and clarify the text, and several research papers appear in the Appendixes.



Numerical Methods In Software And Analysis


Numerical Methods In Software And Analysis
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Author : John R. Rice
language : en
Publisher: Elsevier
Release Date : 2014-05-19

Numerical Methods In Software And Analysis written by John R. Rice and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-19 with Mathematics categories.


Numerical Methods, Software, and Analysis, Second Edition introduces science and engineering students to the methods, tools, and ideas of numerical computation. Introductory courses in numerical methods face a fundamental problem—there is too little time to learn too much. This text solves that problem by using high-quality mathematical software. In fact, the objective of the text is to present scientific problem solving using standard mathematical software. This book discusses numerous programs and software packages focusing on the IMSL library (including the PROTRAN system) and ACM Algorithms. The book is organized into three parts. Part I presents the background material. Part II presents the principal methods and ideas of numerical computation. Part III contains material about software engineering and performance evaluation. A uniform approach is used in each area of numerical computation. First, an intuitive development is made of the problems and the basic methods for their solution. Then, relevant mathematical software is reviewed and its use outlined. Many areas provide extensive examples and case studies. Finally, a deeper analysis of the methods is presented as in traditional numerical analysis texts. - Emphasizes the use of high-quality mathematical software for numerical computation - Extensive use of IMSL routines - Features extensive examples and case studies



Numerical Methods In Engineering With Python


Numerical Methods In Engineering With Python
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Author : Jaan Kiusalaas
language : en
Publisher: Cambridge University Press
Release Date : 2010-01-29

Numerical Methods In Engineering With Python written by Jaan Kiusalaas 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 2010-01-29 with Technology & Engineering categories.


This text is for engineering students and a reference for practising engineers, especially those who wish to explore Python. This new edition features 18 additional exercises and the addition of rational function interpolation. Brent's method of root finding was replaced by Ridder's method, and the Fletcher-Reeves method of optimization was dropped in favor of the downhill simplex method. Each numerical method is explained in detail, and its shortcomings are pointed out. The examples that follow individual topics fall into two categories: hand computations that illustrate the inner workings of the method and small programs that show how the computer code is utilized in solving a problem. This second edition also includes more robust computer code with each method, which is available on the book website. This code is made simple and easy to understand by avoiding complex bookkeeping schemes, while maintaining the essential features of the method.