Numerical Analysis 1997

Author : D.F. Griffiths,G.A. Watson,D J Higham
Publisher : CRC Press
Page : 268 pages
File Size : 48,6 Mb
Release : 1997-12-05
Category : Mathematics
ISBN : 0582312612

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Numerical Analysis 1997 by D.F. Griffiths,G.A. Watson,D J Higham Pdf

This book forms a valuable guide to the direction in which current numerical analysis research is heading. It will be of particular interest to graduate students and researchers concerned with the theoretical and practical issues associated with scientific computation. The main topics include ordinary and partial differential equations, fluid flow, optimization, linear algebra, and approximation theory. Two recurring themes are the need for adaptive and structure preserving numerical methods. The work presented here has a list of direct applications that include colliding black holes, molecular dynamics, blow-up problems, and card shuffling.

Author : Eugene E. Tyrtyshnikov
Publisher : Springer Science & Business Media
Page : 205 pages
File Size : 52,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9780817681364

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A Brief Introduction to Numerical Analysis by Eugene E. Tyrtyshnikov Pdf

A logically organized advanced textbook, which turns the reader into an active participant by asking questions, hinting, giving direct recommendations, comparing different methods, and discussing "pessimistic" and "optimistic" approaches to numerical analysis. Advanced students and graduate students majoring in computer science, physics and mathematics will find this book helpful.

Author : Walter Gautschi
Publisher : Springer Science & Business Media
Page : 611 pages
File Size : 48,9 Mb
Release : 2011-12-06
Category : Mathematics
ISBN : 9780817682590

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Numerical Analysis by Walter Gautschi Pdf

Revised and updated, this second edition of Walter Gautschi's successful Numerical Analysis explores computational methods for problems arising in the areas of classical analysis, approximation theory, and ordinary differential equations, among others. Topics included in the book are presented with a view toward stressing basic principles and maintaining simplicity and teachability as far as possible, while subjects requiring a higher level of technicality are referenced in detailed bibliographic notes at the end of each chapter. Readers are thus given the guidance and opportunity to pursue advanced modern topics in more depth. Along with updated references, new biographical notes, and enhanced notational clarity, this second edition includes the expansion of an already large collection of exercises and assignments, both the kind that deal with theoretical and practical aspects of the subject and those requiring machine computation and the use of mathematical software. Perhaps most notably, the edition also comes with a complete solutions manual, carefully developed and polished by the author, which will serve as an exceptionally valuable resource for instructors.

Author : Christoph W. Ueberhuber
Publisher : Springer Science & Business Media
Page : 494 pages
File Size : 51,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642591181

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Numerical Computation 1 by Christoph W. Ueberhuber Pdf

This book deals with various aspects of scientific numerical computing. No at tempt was made to be complete or encyclopedic. The successful solution of a numerical problem has many facets and consequently involves different fields of computer science. Computer numerics- as opposed to computer algebra- is thus based on applied mathematics, numerical analysis and numerical computation as well as on certain areas of computer science such as computer architecture and operating systems. Applied Mathemalies I I I Numerical Analysis Analysis, Algebra I I Numerical Computation Symbolic Computation I Operating Systems Computer Hardware Each chapter begins with sample situations taken from specific fields of appli cation. Abstract and general formulations of mathematical problems are then presented. Following this abstract level, a general discussion about principles and methods for the numerical solution of mathematical problems is presented. Relevant algorithms are developed and their efficiency and the accuracy of their results is assessed. It is then explained as to how they can be obtained in the form of numerical software. The reader is presented with various ways of applying the general methods and principles to particular classes of problems and approaches to extracting practically useful solutions with appropriately chosen numerical software are developed. Potential difficulties and obstacles are examined, and ways of avoiding them are discussed. The volume and diversity of all the available numerical software is tremendous.

Author : James W. Demmel
Publisher : SIAM
Page : 426 pages
File Size : 52,7 Mb
Release : 1997-08-01
Category : Mathematics
ISBN : 9780898713893

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Applied Numerical Linear Algebra by James W. Demmel Pdf

This comprehensive textbook is designed for first-year graduate students from a variety of engineering and scientific disciplines.

Author : Philippe G. Ciarlet,Jacques-Louis Lions
Publisher : Gulf Professional Publishing
Page : 502 pages
File Size : 51,9 Mb
Release : 1990
Category : Mathematics
ISBN : 0444512470

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Handbook of Numerical Analysis by Philippe G. Ciarlet,Jacques-Louis Lions Pdf

Author : Richard W. Hamming
Publisher : Courier Corporation
Page : 354 pages
File Size : 42,8 Mb
Release : 2012-01-01
Category : Mathematics
ISBN : 9780486485904

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Introduction to Applied Numerical Analysis by Richard W. Hamming Pdf

"This book is appropriate for an applied numerical analysis course for upper-level undergraduate and graduate students as well as computer science students. Actual programming is not covered, but an extensive range of topics includes round-off and function evaluation, real zeros of a function, integration, ordinary differential equations, optimization, orthogonal functions, Fourier series, and much more. 1989 edition"--Provided by publisher.

Author : Eleuterio F. Toro
Publisher : Springer Science & Business Media
Page : 635 pages
File Size : 45,9 Mb
Release : 2013-04-17
Category : Technology & Engineering
ISBN : 9783662039151

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Riemann Solvers and Numerical Methods for Fluid Dynamics by Eleuterio F. Toro Pdf

High resolution upwind and centered methods are today a mature generation of computational techniques 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. The book is designed to provide readers with an understanding of the basic concepts, some of the underlying theory, the ability to critically use the current research papers on the subject, and, above all, with the required information for the practical implementation of the methods. Applications include: compressible, steady, unsteady, reactive, viscous, non-viscous and free surface flows.

Author : Karl E. Gustafson,Duggirala K.M. Rao
Publisher : Springer Science & Business Media
Page : 202 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461384984

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Numerical Range by Karl E. Gustafson,Duggirala K.M. Rao Pdf

The theories of quadratic forms and their applications appear in many parts of mathematics and the sciences. All students of mathematics have the opportunity to encounter such concepts and applications in their first course in linear algebra. This subject and its extensions to infinite dimen sions comprise the theory of the numerical range W(T). There are two competing names for W(T), namely, the numerical range of T and the field of values for T. The former has been favored historically by the func tional analysis community, the latter by the matrix analysis community. It is a toss-up to decide which is preferable, and we have finally chosen the former because it is our habit, it is a more efficient expression, and because in recent conferences dedicated to W(T), even the linear algebra commu nity has adopted it. Also, one universally refers to the numerical radius, and not to the field of values radius. Originally, Toeplitz and Hausdorff called it the Wertvorrat of a bilinear form, so other good names would be value field or form values. The Russian community has referred to it as the Hausdorff domain. Murnaghan in his early paper first called it the region of the complex plane covered by those values for an n x n matrix T, then the range of values of a Hermitian matrix, then the field of values when he analyzed what he called the sought-for region.

Author : Mark Ainsworth,Jeremy Levesley,Marco Marletta
Publisher : Springer Science & Business Media
Page : 262 pages
File Size : 46,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783662039724

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The Graduate Student’s Guide to Numerical Analysis ’98 by Mark Ainsworth,Jeremy Levesley,Marco Marletta Pdf

Detailed lecture notes on six topics at the forefront of current research in numerical analysis and applied mathematics, with each set of notes presenting a self-contained guide to a current research area and supplemented by an extensive bibliography. In addition, most of the notes contain detailed proofs of the key results. They start from a level suitable for first year graduates in applied mathematics, mathematical analysis or numerical analysis, and proceed to current research topics. Readers will thus quickly gain an insight into the important results and techniques in each area without recourse to the large research literature. Current (unsolved) problems are also described, and directions for future research given.

Author : Jeffery J. Leader
Publisher : CRC Press
Page : 583 pages
File Size : 42,6 Mb
Release : 2022-05-11
Category : Mathematics
ISBN : 9781000540369

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Numerical Analysis and Scientific Computation by Jeffery J. Leader Pdf

This is an introductory single-term numerical analysis text with a modern scientific computing flavor. It offers an immediate immersion in numerical methods featuring an up-to-date approach to computational matrix algebra and an emphasis on methods used in actual software packages, always highlighting how hardware concerns can impact the choice of algorithm. It fills the need for a text that is mathematical enough for a numerical analysis course yet applied enough for students of science and engineering taking it with practical need in mind. The standard methods of numerical analysis are rigorously derived with results stated carefully and many proven. But while this is the focus, topics such as parallel implementations, the Basic Linear Algebra Subroutines, halfto quadruple-precision computing, and other practical matters are frequently discussed as well. Prior computing experience is not assumed. Optional MATLAB subsections for each section provide a comprehensive self-taught tutorial and also allow students to engage in numerical experiments with the methods they have just read about. The text may also be used with other computing environments. This new edition offers a complete and thorough update. Parallel approaches, emerging hardware capabilities, computational modeling, and data science are given greater weight.

Author : Forman S. Acton
Publisher : American Mathematical Soc.
Page : 549 pages
File Size : 50,8 Mb
Release : 2020-07-31
Category : Mathematics
ISBN : 9781470457273

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Numerical Methods that Work by Forman S. Acton Pdf

Author : G. M. Phillips,Peter J. Taylor
Publisher : Elsevier
Page : 461 pages
File Size : 48,7 Mb
Release : 1996-07-05
Category : Mathematics
ISBN : 9780080519128

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Theory and Applications of Numerical Analysis by G. M. Phillips,Peter J. Taylor Pdf

Theory and Applications of Numerical Analysis is a self-contained Second Edition, providing an introductory account of the main topics in numerical analysis. The book emphasizes both the theorems which show the underlying rigorous mathematics andthe algorithms which define precisely how to program the numerical methods. Both theoretical and practical examples are included. a unique blend of theory and applications two brand new chapters on eigenvalues and splines inclusion of formal algorithms numerous fully worked examples a large number of problems, many with solutions

Author : Petre Teodorescu,Nicolae-Doru Stanescu,Nicolae Pandrea
Publisher : John Wiley & Sons
Page : 648 pages
File Size : 41,8 Mb
Release : 2013-06-04
Category : Computers
ISBN : 9781118077504

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Numerical Analysis with Applications in Mechanics and Engineering by Petre Teodorescu,Nicolae-Doru Stanescu,Nicolae Pandrea Pdf

NUMERICAL ANALYSIS WITH APPLICATIONS IN MECHANICS AND ENGINEERING A much-needed guide on how to use numerical methods to solve practical engineering problems Bridging the gap between mathematics and engineering, Numerical Analysis with Applications in Mechanics and Engineering arms readers with powerful tools for solving real-world problems in mechanics, physics, and civil and mechanical engineering. Unlike most books on numerical analysis, this outstanding work links theory and application, explains the mathematics in simple engineering terms, and clearly demonstrates how to use numerical methods to obtain solutions and interpret results. Each chapter is devoted to a unique analytical methodology, including a detailed theoretical presentation and emphasis on practical computation. Ample numerical examples and applications round out the discussion, illustrating how to work out specific problems of mechanics, physics, or engineering. Readers will learn the core purpose of each technique, develop hands-on problem-solving skills, and get a complete picture of the studied phenomenon. Coverage includes: How to deal with errors in numerical analysis Approaches for solving problems in linear and nonlinear systems Methods of interpolation and approximation of functions Formulas and calculations for numerical differentiation and integration Integration of ordinary and partial differential equations Optimization methods and solutions for programming problems Numerical Analysis with Applications in Mechanics and Engineering is a one-of-a-kind guide for engineers using mathematical models and methods, as well as for physicists and mathematicians interested in engineering problems.

Author : R.V. Dukkipati
Publisher : Walter de Gruyter GmbH & Co KG
Page : 468 pages
File Size : 51,8 Mb
Release : 2023-06-13
Category : Mathematics
ISBN : 9781683928706

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Numerical Methods Fundament PB by R.V. Dukkipati Pdf

The book is designed to cover all major aspects of applied numerical methods, including numerical computations, solution of algebraic and transcendental equations, finite differences and interpolation, curve fitting, correlation and regression, numerical differentiation and integration, matrices and linear system of equations, numerical solution of ordinary differential equations, and numerical solution of partial differentialequations. It uses a numerical problem-solving orientation with numerous examples, figures, and end of chapter exercises. Presentations are limited to very basic topics to serve as an introduction to more advanced topics. FEATURES: Emphasizes applications, analytical developments, algorithms, and computational solutions over puretheory Features over 300 problems with step-by-step solutions Includes a review of basic engineering mathematics and partial fraction expansions Provides an understanding, both physical and mathematical, of the basic theory ofnumerical analysis, methods, and their applications