Principles And Procedures Of Numerical Analysis
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Principles And Procedures Of Numerical Analysis
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Author : Ferenc Szidarovszky
language : en
Publisher: Springer
Release Date : 2013-11-11
Principles And Procedures Of Numerical Analysis written by Ferenc Szidarovszky and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
It is an incontestable fact that numerical analysis techniques are used rou tinely (although not always effectively) in virtually every quantitative field of scientific endeavor. In this book, which is directed toward upper-division and graduate level students in engineering and mathematics, we have selected for discussion subjects that are traditionally found in numerical analysis texts. But our choice of methodology rejects the traditional where analysis and experience clearly warrant such a departure, and one of our primary aspirations in this work is to equip the reader with the wherewithal to apply numerical analysis thinking to nontraditional subjects. For there is a plethora of computer-oriented sciences such as optimization, statistics, and system analysis and identification that are sorely in need of methods comparable to those related here for classical numerical analysis problems. Toward uncovering for the reader the structure of numerical methods we have, for example, devoted a chapter to a metric space theory for iter ative application of operators. In this chapter, we have collected those definitions and concepts of real and functional analysis that are requisite to a modern intermediate-level exposition of the principles of numerical anal ysis. Further, we derive the abstract theory (most notably, the contraction mapping theorem) for iteration processes.
Principles And Procedures Of Numerical Analysis
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Author : Ferenc Szidarovszky
language : en
Publisher:
Release Date : 2014-01-15
Principles And Procedures Of Numerical Analysis written by Ferenc Szidarovszky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Principles Of Numerical Analysis
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Author : Alston S. Householder
language : en
Publisher: Courier Corporation
Release Date : 2006-01-01
Principles Of Numerical Analysis written by Alston S. Householder and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Mathematics categories.
Computer science rests upon the building blocks of numerical analysis. This concise treatment by an expert covers the essentials of the solution of finite systems of linear and nonlinear equations as well as the approximate representation of functions. A final section provides 54 problems, subdivided according to chapter. 1953 edition.
Principles Of Numerical Analysis
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Author :
language : en
Publisher:
Release Date : 1953
Principles Of Numerical Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953 with categories.
First Principles Of Numerical Analysis An Undergraduate Text
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Author : BURTON WENDROFF
language : en
Publisher:
Release Date : 1969
First Principles Of Numerical Analysis An Undergraduate Text written by BURTON WENDROFF and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.
Numerical Analysis
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Author : Gene Howard Golub
language : en
Publisher: American Mathematical Soc.
Release Date : 1978
Numerical Analysis written by Gene Howard Golub and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mathematics categories.
Principles Of Numerical Analysis
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Author : Alston Scott Householder
language : en
Publisher:
Release Date : 1963
Principles Of Numerical Analysis written by Alston Scott Householder and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with categories.
Introduction To Numerical Methods For Time Dependent Differential Equations
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Author : Heinz-Otto Kreiss
language : en
Publisher: John Wiley & Sons
Release Date : 2014-04-24
Introduction To Numerical Methods For Time Dependent Differential Equations written by Heinz-Otto Kreiss and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-24 with Mathematics categories.
Introduces both the fundamentals of time dependent differential equations and their numerical solutions Introduction to Numerical Methods for Time Dependent Differential Equations delves into the underlying mathematical theory needed to solve time dependent differential equations numerically. Written as a self-contained introduction, the book is divided into two parts to emphasize both ordinary differential equations (ODEs) and partial differential equations (PDEs). Beginning with ODEs and their approximations, the authors provide a crucial presentation of fundamental notions, such as the theory of scalar equations, finite difference approximations, and the Explicit Euler method. Next, a discussion on higher order approximations, implicit methods, multistep methods, Fourier interpolation, PDEs in one space dimension as well as their related systems is provided. Introduction to Numerical Methods for Time Dependent Differential Equations features: A step-by-step discussion of the procedures needed to prove the stability of difference approximations Multiple exercises throughout with select answers, providing readers with a practical guide to understanding the approximations of differential equations A simplified approach in a one space dimension Analytical theory for difference approximations that is particularly useful to clarify procedures Introduction to Numerical Methods for Time Dependent Differential Equations is an excellent textbook for upper-undergraduate courses in applied mathematics, engineering, and physics as well as a useful reference for physical scientists, engineers, numerical analysts, and mathematical modelers who use numerical experiments to test designs or predict and investigate phenomena from many disciplines.
Numerical Analysis
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Author : Rainer Kress
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Numerical Analysis written by Rainer Kress 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 2012-12-06 with Mathematics categories.
An introduction into numerical analysis for students in mathematics, physics, and engineering. Instead of attempting to exhaustively cover everything, the goal is to guide readers towards the basic ideas and general principles by way of the main and important numerical methods. The book includes the necessary basic functional analytic tools for the solid mathematical foundation of numerical analysis -- indispensable for any deeper study and understanding of numerical methods, in particular, for differential equations and integral equations. The text is presented in a concise and easily understandable fashion so as to be successfully mastered in a one-year course.
The Numerical Method Of Lines And Duality Principles Applied To Models In Physics And Engineering
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Author : Fabio Silva Botelho
language : en
Publisher: CRC Press
Release Date : 2024-02-06
The Numerical Method Of Lines And Duality Principles Applied To Models In Physics And Engineering written by Fabio Silva Botelho and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-06 with Mathematics categories.
The book includes theoretical and applied results of a generalization of the numerical method of lines. A Ginzburg-Landau type equation comprises the initial application, with detailed explanations about the establishment of the general line expressions. Approximate numerical procedures have been developed for a variety of equation types, including the related algorithms and software. The applications include the Ginzburg-Landau system in superconductivity, applications to the Navier-Stokes system in fluid mechanics and, among others, models in flight mechanics. In its second and final parts, the book develops duality principles and numerical results for other similar and related models. The book is meant for applied mathematicians, physicists and engineers interested in numerical methods and concerning duality theory. It is expected the text will serve as a valuable auxiliary project tool for some important engineering and physics fields of research.