Calculus of Finite Difference & Numerical Analysis PDF Download

Author: Gupta & Malik
Publisher: Krishna Prakashan Media
ISBN: 8182833310
Category :
Languages : en
Pages : 921

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Author: Hyman Levy
Publisher: Courier Corporation
ISBN: 0486672603
Category : Mathematics
Languages : en
Pages : 306

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Book Description
Comprehensive study focuses on use of calculus of finite differences as an approximation method for solving troublesome differential equations. Elementary difference operations; interpolation and extrapolation; modes of expansion of the solutions of nonlinear equations, applications of difference equations, difference equations associated with functions of two variables, more. Exercises with answers. 1961 edition.

Author: Bertil Gustafsson
Publisher: John Wiley & Sons
ISBN: 1118548523
Category : Mathematics
Languages : en
Pages : 464

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Book Description
Praise for the First Edition ". . . fills a considerable gap in the numerical analysis literature by providing a self-contained treatment . . . this is an important work written in a clear style . . . warmly recommended to any graduate student or researcher in the field of the numerical solution of partial differential equations." —SIAM Review Time-Dependent Problems and Difference Methods, Second Edition continues to provide guidance for the analysis of difference methods for computing approximate solutions to partial differential equations for time-dependent problems. The book treats differential equations and difference methods with a parallel development, thus achieving a more useful analysis of numerical methods. The Second Edition presents hyperbolic equations in great detail as well as new coverage on second-order systems of wave equations including acoustic waves, elastic waves, and Einstein equations. Compared to first-order hyperbolic systems, initial-boundary value problems for such systems contain new properties that must be taken into account when analyzing stability. Featuring the latest material in partial differential equations with new theorems, examples, and illustrations,Time-Dependent Problems and Difference Methods, Second Edition also includes: High order methods on staggered grids Extended treatment of Summation By Parts operators and their application to second-order derivatives Simplified presentation of certain parts and proofs Time-Dependent Problems and Difference Methods, Second Edition is an ideal reference for physical scientists, engineers, numerical analysts, and mathematical modelers who use numerical experiments to test designs and to predict and investigate physical phenomena. The book is also excellent for graduate-level courses in applied mathematics and scientific computations.

Author: Parviz Moin
Publisher: Cambridge University Press
ISBN: 1139489550
Category : Technology & Engineering
Languages : en
Pages : 257

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Book Description
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: George Boole
Publisher:
ISBN:
Category : Difference equations
Languages : en
Pages : 414

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Author: John C. Strikwerda
Publisher: Springer
ISBN:
Category : Juvenile Nonfiction
Languages : en
Pages : 410

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Book Description

Author: Zhilin Li
Publisher: Cambridge University Press
ISBN: 1107163226
Category : Mathematics
Languages : en
Pages : 305

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Book Description
A practical and concise guide to finite difference and finite element methods. Well-tested MATLAB® codes are available online.

Author: Bernd Heinrich
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 311272089X
Category : Mathematics
Languages : en
Pages : 212

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Book Description
No detailed description available for "Finite Difference Methods on Irregular Networks".

Author: Changpin Li
Publisher: CRC Press
ISBN: 148225381X
Category : Mathematics
Languages : en
Pages : 300

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Book Description
Numerical Methods for Fractional Calculus presents numerical methods for fractional integrals and fractional derivatives, finite difference methods for fractional ordinary differential equations (FODEs) and fractional partial differential equations (FPDEs), and finite element methods for FPDEs.The book introduces the basic definitions and propertie

Author: William Edmund Milne
Publisher: Princeton University Press
ISBN: 1400875900
Category : Mathematics
Languages : en
Pages : 404

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Book Description
The calculus of finite differences is here treated thoroughly and clearly by one of the leading American experts in the field of numerical analysis and computation. The theory is carefully developed and applied to illustrative examples, and each chapter is followed by a set of helpful exercises. The book is especially designed for the use of actuarial students, statisticians, applied mathematicians, and any scientists forced to seek numerical solutions. It presupposes only a knowledge of algebra, analytic geometry, trigonometry, and elementary calculus. The object is definitely practical, for while numerical calculus is based on the concepts of pure mathematics, it is recognized that the worker must produce a numerical result. Originally published in 1949. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.