Analysis Of Numerical Methods
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Analysis Of Numerical Methods
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Author : Eugene Isaacson
language : en
Publisher: Courier Corporation
Release Date : 1994-06-07
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 1994-06-07 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 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 Analysis Or Numerical Method In Symmetry
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Author : Clemente Cesarano
language : en
Publisher: MDPI
Release Date : 2020-02-21
Numerical Analysis Or Numerical Method In Symmetry written by Clemente Cesarano and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-21 with Mathematics categories.
This Special Issue focuses mainly on techniques and the relative formalism typical of numerical methods and therefore of numerical analysis, more generally. These fields of study of mathematics represent an important field of investigation both in the field of applied mathematics and even more exquisitely in the pure research of the theory of approximation and the study of polynomial relations as well as in the analysis of the solutions of the differential equations both ordinary and partial derivatives. Therefore, a substantial part of research on the topic of numerical analysis cannot exclude the fundamental role played by approximation theory and some of the tools used to develop this research. In this Special Issue, we want to draw attention to the mathematical methods used in numerical analysis, such as special functions, orthogonal polynomials, and their theoretical tools, such as Lie algebra, to study the concepts and properties of some special and advanced methods, which are useful in the description of solutions of linear and nonlinear differential equations. A further field of investigation is dedicated to the theory and related properties of fractional calculus with its adequate application to numerical methods.
Analysis Of Numerical Methods
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Author : Eugene Isaacson
language : en
Publisher:
Release Date : 1966
Analysis Of Numerical Methods written by Eugene Isaacson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Numerical analysis categories.
Numerical Analysis Or Numerical Method In Symmetry
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Author : Clemente Cesarano
language : en
Publisher:
Release Date : 2020
Numerical Analysis Or Numerical Method In Symmetry written by Clemente Cesarano and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Mathematics categories.
This Special Issue focuses mainly on techniques and the relative formalism typical of numerical methods and therefore of numerical analysis, more generally. These fields of study of mathematics represent an important field of investigation both in the field of applied mathematics and even more exquisitely in the pure research of the theory of approximation and the study of polynomial relations as well as in the analysis of the solutions of the differential equations both ordinary and partial derivatives. Therefore, a substantial part of research on the topic of numerical analysis cannot exclude the fundamental role played by approximation theory and some of the tools used to develop this research. In this Special Issue, we want to draw attention to the mathematical methods used in numerical analysis, such as special functions, orthogonal polynomials, and their theoretical tools, such as Lie algebra, to study the concepts and properties of some special and advanced methods, which are useful in the description of solutions of linear and nonlinear differential equations. A further field of investigation is dedicated to the theory and related properties of fractional calculus with its adequate application to numerical methods.
An Introduction To Numerical Methods And Analysis
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Author : James F. Epperson
language : en
Publisher: John Wiley & Sons
Release Date : 2013-06-06
An Introduction To Numerical Methods And Analysis written by James F. Epperson 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 2013-06-06 with Mathematics categories.
Praise for the First Edition ". . . outstandingly appealing with regard to its style, contents, considerations of requirements of practice, choice of examples, and exercises." —Zentrablatt Math ". . . carefully structured with many detailed worked examples . . ." —The Mathematical Gazette ". . . an up-to-date and user-friendly account . . ." —Mathematika An Introduction to Numerical Methods and Analysis addresses the mathematics underlying approximation and scientific computing and successfully explains where approximation methods come from, why they sometimes work (or don't work), and when to use one of the many techniques that are available. Written in a style that emphasizes readability and usefulness for the numerical methods novice, the book begins with basic, elementary material and gradually builds up to more advanced topics. A selection of concepts required for the study of computational mathematics is introduced, and simple approximations using Taylor's Theorem are also treated in some depth. The text includes exercises that run the gamut from simple hand computations, to challenging derivations and minor proofs, to programming exercises. A greater emphasis on applied exercises as well as the cause and effect associated with numerical mathematics is featured throughout the book. An Introduction to Numerical Methods and Analysis is the ideal text for students in advanced undergraduate mathematics and engineering courses who are interested in gaining an understanding of numerical methods and numerical analysis.
Numerical Analysis
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Author : M. Schatzman
language : en
Publisher: Oxford University Press, USA
Release Date : 2002
Numerical Analysis written by M. Schatzman and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
Numerical analysis explains why numerical computations work, or fail. This book is divided into four parts. Part I starts Part I starts with a guided tour of floating number systems and machine arithmetic. The exponential and the logarithm are constructed from scratch to present a new point of view on questions well-known to the reader, and the needed knowledge of linear algebra is summarized. Part II starts with polynomial approximation (polynomial interpolation, mean-square approximation, splines). It then deals with Fourier series, providing the trigonometric version of least square approximations, and one of the most important numerical algorithms, the fast Fourier transform. Any scientific computation program spends most of its time solving linear systems or approximating the solution of linear systems, even when trying to solve non-linear systems. Part III is therefore about numerical linear algebra, while Part IV treats a selection of non-linear or complex problems: resolution of linear equations and systems, ordinary differential equations, single step and multi-step schemes, and an introduction to partial differential equations. The book has been written having in mind the advanced undergraduate students in mathematics who are interested in the spice and spirit of numerical analysis. The book does not assume previous knowledge of numerical methods. It will also be useful to scientists and engineers wishing to learn what mathematics has to say about the reason why their numerical methods work - or fail.
An Introduction To Numerical Analysis
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Author : Kendall Atkinson
language : en
Publisher: John Wiley & Sons
Release Date : 1989-01-17
An Introduction To Numerical Analysis written by Kendall Atkinson 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 1989-01-17 with Mathematics categories.
This edition of the standard introductory textbook on numerical analysis has been revised and updated to include optimization, trigonometric interpolation and the fast Fourier transform, numerical differentiation, the method of lines and boundary value problems.
Mathematical Analysis And Numerical Methods For Science And Technology
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Author : Robert Dautray
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-11-23
Mathematical Analysis And Numerical Methods For Science And Technology written by Robert Dautray 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 1999-11-23 with Mathematics categories.
The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. The objective of the present work is to compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden der mathematischen Physik" by Courant and Hilbert, there has been no other comprehensive and up-to-date publication presenting the mathematical tools needed in applications of mathematics in directly implementable form.
Introduction To Numerical Methods
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Author : Peter Stark
language : en
Publisher: Simon & Schuster Books For Young Readers
Release Date : 1970
Introduction To Numerical Methods written by Peter Stark and has been published by Simon & Schuster Books For Young Readers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mathematics categories.
This text is for an introductory course in what is commonly called numerical analysis, numerical methods, or even numerical calculus. While it parallels the development in Course B4 on Numerical Calculus in the proposed Curriculum in Computer Science issued by the Association for Computing Machinery, this book is designed for any science or engineering student who has completed his first course in calculus, and who has at least a passing knowledge of elementary computer programming in FORTRAN. This is a practical book for the student who, in addition to seeing the theory of numerical methods, also likes to see the results; the predominant emphasis is on specific methods and computer solutions. It often points out where the theory departs from practice, and it illustrates each method of computer solution by an actual computer program and its results.