Inequalities For Finite Difference Equations

Author : B.G. Pachpatte
Publisher : CRC Press
Page : 528 pages
File Size : 48,5 Mb
Release : 2001-12-13
Category : Mathematics
ISBN : 9781482271065

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Inequalities for Finite Difference Equations by B.G. Pachpatte Pdf

"A treatise on finite difference ineuqalities that have important applications to theories of various classes of finite difference and sum-difference equations, including several linear and nonlinear finite difference inequalities appearing for the first time in book form."

Author : B. G. Pachpatte
Publisher : Elsevier
Page : 320 pages
File Size : 52,6 Mb
Release : 2006-09-14
Category : Mathematics
ISBN : 0080464793

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Integral and Finite Difference Inequalities and Applications by B. G. Pachpatte Pdf

The monograph is written with a view to provide basic tools for researchers working in Mathematical Analysis and Applications, concentrating on differential, integral and finite difference equations. It contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools and will be a valuable source for a long time to come. It is self-contained and thus should be useful for those who are interested in learning or applying the inequalities with explicit estimates in their studies. Contains a variety of inequalities discovered which find numerous applications in various branches of differential, integral and finite difference equations Valuable reference for someone requiring results about inequalities for use in some applications in various other branches of mathematics Highlights pure and applied mathematics and other areas of science and technology

Author : B.G. Pachpatte
Publisher : CRC Press
Page : 546 pages
File Size : 53,5 Mb
Release : 2001-12-13
Category : Mathematics
ISBN : 0824706579

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Inequalities for Finite Difference Equations by B.G. Pachpatte Pdf

"A treatise on finite difference ineuqalities that have important applications to theories of various classes of finite difference and sum-difference equations, including several linear and nonlinear finite difference inequalities appearing for the first time in book form."

Author : Ravi P. Agarwal
Publisher : CRC Press
Page : 1010 pages
File Size : 53,8 Mb
Release : 2000-01-27
Category : Mathematics
ISBN : 1420027026

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Difference Equations and Inequalities by Ravi P. Agarwal Pdf

A study of difference equations and inequalities. This second edition offers real-world examples and uses of difference equations in probability theory, queuing and statistical problems, stochastic time series, combinatorial analysis, number theory, geometry, electrical networks, quanta in radiation, genetics, economics, psychology, sociology, and

Author : B.G. Pachpatte
Publisher : Springer Science & Business Media
Page : 245 pages
File Size : 46,7 Mb
Release : 2011-07-26
Category : Mathematics
ISBN : 9789491216176

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Multidimensional Integral Equations and Inequalities by B.G. Pachpatte Pdf

Since from more than a century, the study of various types of integral equations and inequalities has been focus of great attention by many researchers, interested both in theory and its applications. In particular, there exists a very rich literature related to the integral equations and inequalities and their applications. The present monograph is an attempt to organize recent progress related to the Multidimensional integral equations and inequalities, which we hope will widen the scope of their new applications. The field to be covered is extremely wide and it is nearly impossible to treat all of them here. The material included in the monograph is recent and hard to find in other books. It is accessible to any reader with reasonable background in real analysis and acquaintance with its related areas. All results are presented in an elementary way and the book could also serve as a textbook for an advanced graduate course. The book deserves a warm welcome to those who wish to learn the subject and it will also be most valuable as a source of reference in the field. It will be an invaluable reading for mathematicians, physicists and engineers and also for graduate students, scientists and scholars wishing to keep abreast of this important area of research.

Author : Boško S. Jovanović,Endre Süli
Publisher : Springer Science & Business Media
Page : 408 pages
File Size : 48,8 Mb
Release : 2013-10-22
Category : Mathematics
ISBN : 9781447154600

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Analysis of Finite Difference Schemes by Boško S. Jovanović,Endre Süli Pdf

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.

Author : Yuming Qin
Publisher : Birkhäuser
Page : 989 pages
File Size : 48,9 Mb
Release : 2016-10-08
Category : Mathematics
ISBN : 9783319333014

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Integral and Discrete Inequalities and Their Applications by Yuming Qin Pdf

This book focuses on one- and multi-dimensional linear integral and discrete Gronwall-Bellman type inequalities. It provides a useful collection and systematic presentation of known and new results, as well as many applications to differential (ODE and PDE), difference, and integral equations. With this work the author fills a gap in the literature on inequalities, offering an ideal source for researchers in these topics. The present volume is part 1 of the author’s two-volume work on inequalities. Integral and discrete inequalities are a very important tool in classical analysis and play a crucial role in establishing the well-posedness of the related equations, i.e., differential, difference and integral equations.

Author : Burton Wendroff
Publisher : Unknown
Page : 68 pages
File Size : 47,6 Mb
Release : 1957
Category : Differential equations, Partial
ISBN : UOM:39015086457093

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Finite Difference Approximations to Solutions of Partial Differential Equations by Burton Wendroff Pdf

Author : Zhi-Zhong Sun,Guang-hua Gao
Publisher : Walter de Gruyter GmbH & Co KG
Page : 226 pages
File Size : 49,9 Mb
Release : 2020-08-24
Category : Mathematics
ISBN : 9783110615302

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Fractional Differential Equations by Zhi-Zhong Sun,Guang-hua Gao Pdf

Starting with an introduction to fractional derivatives and numerical approximations, this book presents finite difference methods for fractional differential equations, including time-fractional sub-diffusion equations, time-fractional wave equations, and space-fractional differential equations, among others. Approximation methods for fractional derivatives are developed and approximate accuracies are analyzed in detail.

Author : Sergey Lemeshevsky,Piotr Matus,Dmitriy Poliakov
Publisher : Walter de Gruyter GmbH & Co KG
Page : 246 pages
File Size : 41,8 Mb
Release : 2016-09-26
Category : Mathematics
ISBN : 9783110491326

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Exact Finite-Difference Schemes by Sergey Lemeshevsky,Piotr Matus,Dmitriy Poliakov Pdf

Exact Finite-Difference Schemes is a first overview of the topic also describing the state-of-the-art in this field of numerical analysis. Construction of exact difference schemes for various parabolic and elliptic partial differential equations are discussed, including vibrations and transport problems. After this, applications are discussed, such as the discretisation of ODEs and PDEs and numerical methods for stochastic differential equations. Contents: Basic notation Preliminary results Hyperbolic equations Parabolic equations Use of exact difference schemes to construct NSFD discretizations of differential equations Exact and truncated difference schemes for boundary-value problem Exact difference schemes for stochastic differential equations Numerical blow-up time Bibliography

Author : Randall J. LeVeque
Publisher : SIAM
Page : 356 pages
File Size : 47,7 Mb
Release : 2007-01-01
Category : Mathematics
ISBN : 0898717833

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Finite Difference Methods for Ordinary and Partial Differential Equations by Randall J. LeVeque Pdf

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.

Author : George Elmer Forsythe,Wolfgang Richard Wasow
Publisher : Unknown
Page : 464 pages
File Size : 40,6 Mb
Release : 1960
Category : Computers
ISBN : STANFORD:36105027113146

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Finite-difference Methods for Partial Differential Equations by George Elmer Forsythe,Wolfgang Richard Wasow Pdf

Author : Johnny Henderson,Rodica Luca
Publisher : Walter de Gruyter GmbH & Co KG
Page : 168 pages
File Size : 55,6 Mb
Release : 2023-01-30
Category : Mathematics
ISBN : 9783111040370

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Boundary Value Problems for Second-Order Finite Difference Equations and Systems by Johnny Henderson,Rodica Luca Pdf

This is an indispensable reference for those mathematicians that conduct research activity in applications of fixed-point theory to boundary value problems for nonlinear functional equations. Coverage includes second-order finite difference equations and systems of difference equations subject to multi-point boundary conditions, various methods to study the existence of positive solutions for difference equations, and Green functions.

Author : Ivan Dimov,István Faragó,Lubin Vulkov
Publisher : Springer
Page : 434 pages
File Size : 43,7 Mb
Release : 2015-06-16
Category : Computers
ISBN : 9783319202396

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Finite Difference Methods,Theory and Applications by Ivan Dimov,István Faragó,Lubin Vulkov Pdf

This book constitutes the thoroughly refereed post-conference proceedings of the 6th International Conference on Finite Difference Methods, FDM 2014, held in Lozenetz, Bulgaria, in June 2014. The 36 revised full papers were carefully reviewed and selected from 62 submissions. These papers together with 12 invited papers cover topics such as finite difference and combined finite difference methods as well as finite element methods and their various applications in physics, chemistry, biology and finance.

Author : Zhi-Zhong Sun,Qifeng Zhang,Guang-hua Gao
Publisher : Walter de Gruyter GmbH & Co KG
Page : 499 pages
File Size : 52,8 Mb
Release : 2023-05-08
Category : Mathematics
ISBN : 9783110796117

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Finite Difference Methods for Nonlinear Evolution Equations by Zhi-Zhong Sun,Qifeng Zhang,Guang-hua Gao Pdf

Nonlinear evolution equations are widely used to describe nonlinear phenomena in natural and social sciences. However, they are usually quite difficult to solve in most instances. This book introduces the finite difference methods for solving nonlinear evolution equations. The main numerical analysis tool is the energy method. This book covers the difference methods for the initial-boundary value problems of twelve nonlinear partial differential equations. They are Fisher equation, Burgers' equation, regularized long-wave equation, Korteweg-de Vries equation, Camassa-Holm equation, Schrödinger equation, Kuramoto-Tsuzuki equation, Zakharov equation, Ginzburg-Landau equation, Cahn-Hilliard equation, epitaxial growth model and phase field crystal model. This book is a monograph for the graduate students and science researchers majoring in computational mathematics and applied mathematics. It will be also useful to all researchers in related disciplines.