Linear Difference Equations and Their Analytic Solutions

Linear Difference Equations and Their Analytic Solutions PDF Author: Robert Daniel Carmichael
Publisher:
ISBN:
Category : Differential equations, Linear
Languages : en
Pages : 52

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Book Description

Linear Difference Equations and Their Analytic Solutions

Linear Difference Equations and Their Analytic Solutions PDF Author: Robert Daniel Carmichael
Publisher:
ISBN:
Category : Differential equations, Linear
Languages : en
Pages : 52

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Book Description


Differential-Difference Equations

Differential-Difference Equations PDF Author: Bellman
Publisher: Academic Press
ISBN: 0080955142
Category : Mathematics
Languages : en
Pages : 484

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Book Description
Differential-Difference Equations

Analytic Solutions of Functional Equations

Analytic Solutions of Functional Equations PDF Author: Sui Sun Cheng
Publisher: World Scientific
ISBN: 9812793348
Category : Mathematics
Languages : en
Pages : 296

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Book Description
This book presents a self-contained and unified introduction to the properties of analytic functions. Based on recent research results, it provides many examples of functional equations to show how analytic solutions can be found.Unlike in other books, analytic functions are treated here as those generated by sequences with positive radii of convergence. By developing operational means for handling sequences, functional equations can then be transformed into recurrence relations or difference equations in a straightforward manner. Their solutions can also be found either by qualitative means or by computation. The subsequent formal power series function can then be asserted as a true solution once convergence is established by various convergence tests and majorization techniques. Functional equations in this book may also be functional differential equations or iterative equations, which are different from the differential equations studied in standard textbooks since composition of known or unknown functions are involved.

Analysis of Finite Difference Schemes

Analysis of Finite Difference Schemes PDF Author: Boško S. Jovanović
Publisher: Springer Science & Business Media
ISBN: 1447154606
Category : Mathematics
Languages : en
Pages : 416

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Book Description
This book develops a systematic and rigorous mathematical theory of finite difference methods for linear elliptic, parabolic and hyperbolic partial differential equations with nonsmooth solutions. Finite difference methods are a classical class of techniques for the numerical approximation of partial differential equations. Traditionally, their convergence analysis presupposes the smoothness of the coefficients, source terms, initial and boundary data, and of the associated solution to the differential equation. This then enables the application of elementary analytical tools to explore their stability and accuracy. The assumptions on the smoothness of the data and of the associated analytical solution are however frequently unrealistic. There is a wealth of boundary – and initial – value problems, arising from various applications in physics and engineering, where the data and the corresponding solution exhibit lack of regularity. In such instances classical techniques for the error analysis of finite difference schemes break down. The objective of this book is to develop the mathematical theory of finite difference schemes for linear partial differential equations with nonsmooth solutions. Analysis of Finite Difference Schemes is aimed at researchers and graduate students interested in the mathematical theory of numerical methods for the approximate solution of partial differential equations.

Linear Difference Equations and Their Analytic Solutions

Linear Difference Equations and Their Analytic Solutions PDF Author: Robert Daniel Carmichael
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description


The Solutions of Non-homogeneous Linear Difference Equations and Their Asymptotic Form

The Solutions of Non-homogeneous Linear Difference Equations and Their Asymptotic Form PDF Author: Kenneth Powers Williams
Publisher:
ISBN:
Category : Difference equations
Languages : en
Pages : 44

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Book Description


Finite Difference Methods for Ordinary and Partial Differential Equations

Finite Difference Methods for Ordinary and Partial Differential Equations PDF Author: Randall J. LeVeque
Publisher: SIAM
ISBN: 9780898717839
Category : Mathematics
Languages : en
Pages : 356

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Book Description
This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.

Methods of Applied Mathematics for Engineers and Scientists

Methods of Applied Mathematics for Engineers and Scientists PDF Author: Tomas B. Co
Publisher: Cambridge University Press
ISBN: 1107004128
Category : Mathematics
Languages : en
Pages : 585

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Book Description
This engineering mathematics textbook is rich with examples, applications and exercises, and emphasises applying matrices.

American Journal of Mathematics

American Journal of Mathematics PDF Author:
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 462

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Book Description
The American Journal of Mathematics publishes research papers and articles of broad appeal covering the major areas of contemporary mathematics.

Science

Science PDF Author: John Michels (Journalist)
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 990

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Book Description
Since Jan. 1901 the official proceedings and most of the papers of the American Association for the Advancement of Science have been included in Science.