Finite Difference Equations

Finite Difference Equations PDF 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.

Finite Difference Equations

Finite Difference Equations PDF 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.

Introduction to Difference Equations

Introduction to Difference Equations PDF Author: Samuel Goldberg
Publisher: Courier Corporation
ISBN: 0486650847
Category : Mathematics
Languages : en
Pages : 292

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Book Description
Exceptionally clear exposition of an important mathematical discipline and its applications to sociology, economics, and psychology. Topics include calculus of finite differences, difference equations, matrix methods, and more. 1958 edition.

Schaum's Outline of Theory and Problems of Probability and Statistics

Schaum's Outline of Theory and Problems of Probability and Statistics PDF Author: Murray R. Spiegel
Publisher:
ISBN:
Category : Mathematical statistics
Languages : en
Pages : 372

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Book Description


Numerical Solution of Differential Equations

Numerical Solution of Differential Equations PDF 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 MATLABĀ® codes are available online.

An Introduction to the Calculus of Finite Differences and Difference Equations

An Introduction to the Calculus of Finite Differences and Difference Equations PDF Author: Kenneth S. Miller
Publisher:
ISBN:
Category : Difference equations
Languages : en
Pages : 196

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Book Description


Fundamentals of Engineering Numerical Analysis

Fundamentals of Engineering Numerical Analysis PDF 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.

Nonstandard Finite Difference Models of Differential Equations

Nonstandard Finite Difference Models of Differential Equations PDF Author: Ronald E. Mickens
Publisher: World Scientific
ISBN: 9810214588
Category : Mathematics
Languages : en
Pages : 264

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Book Description
This book provides a clear summary of the work of the author on the construction of nonstandard finite difference schemes for the numerical integration of differential equations. The major thrust of the book is to show that discrete models of differential equations exist such that the elementary types of numerical instabilities do not occur. A consequence of this result is that in general bigger step-sizes can often be used in actual calculations and/or finite difference schemes can be constructed that are conditionally stable in many instances whereas in using standard techniques no such schemes exist. The theoretical basis of this work is centered on the concepts of ?exact? and ?best? finite difference schemes. In addition, a set of rules is given for the discrete modeling of derivatives and nonlinear expressions that occur in differential equations. These rules often lead to a unique nonstandard finite difference model for a given differential equation.

The Calculus of Finite Differences

The Calculus of Finite Differences PDF Author: Louis Melville Milne-Thomson
Publisher:
ISBN:
Category : Difference equations
Languages : en
Pages : 592

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Book Description


Difference Equations, Second Edition

Difference Equations, Second Edition PDF Author: R Mickens
Publisher: CRC Press
ISBN: 9780442001360
Category : Mathematics
Languages : en
Pages : 470

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Book Description
In recent years, the study of difference equations has acquired a new significance, due in large part to their use in the formulation and analysis of discrete-time systems, the numerical integration of differential equations by finite-difference schemes, and the study of deterministic chaos. The second edition of Difference Equations: Theory and Applications provides a thorough listing of all major theorems along with proofs. The text treats the case of first-order difference equations in detail, using both analytical and geometrical methods. Both ordinary and partial difference equations are considered, along with a variety of special nonlinear forms for which exact solutions can be determined. Numerous worked examples and problems allow readers to fully understand the material in the text. They also give possible generalization of the theorems and application models. The text's expanded coverage of application helps readers appreciate the benefits of using difference equations in the modeling and analysis of "realistic" problems from a broad range of fields. The second edition presents, analyzes, and discusses a large number of applications from the mathematical, biological, physical, and social sciences. Discussions on perturbation methods and difference equation models of differential equation models of differential equations represent contributions by the author to the research literature. Reference to original literature show how the elementary models of the book can be extended to more realistic situations. Difference Equations, Second Edition gives readers a background in discrete mathematics that many workers in science-oriented industries need as part of their general scientific knowledge. With its minimal mathematical background requirements of general algebra and calculus, this unique volume will be used extensively by students and professional in science and technology, in areas such as applied mathematics, control theory, population science, economics, and electronic circuits, especially discrete signal processing.

Finite Difference Schemes and Partial Differential Equations

Finite Difference Schemes and Partial Differential Equations PDF Author: John C. Strikwerda
Publisher: Springer
ISBN:
Category : Juvenile Nonfiction
Languages : en
Pages : 410

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Book Description