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Bibframe Work

Title
Exponentially convergent algorithms for abstract differential equations
Type
Text
Monograph
Contribution
Gavrilyuk, Ivan P. (Contributor)
Makarov, Volodymyr (Contributor)
Vasylyk, Vitalii (Contributor)
Subject
Differential equations (LCSH)
Language
English
Illustrative Content
Illustrations
Classification
LCC: QA371 .G38 2011 (Assigner: dlc) (Status: used by assigner)
Supplementary Content
bibliography
index
Content
text
Summary
"This book presents new accurate and efficient exponentially convergent methods for abstract differential equations with unbounded operator coefficients in Banach space. These methods are highly relevant for the practical scientific computing since the equations under consideration can be seen as the meta-models of systems of ordinary differential equations (ODE) as well as the partial differential equations (PDEs) describing various applied problems. The framework of functional analysis allows one to obtain very general but at the same time transparent algorithms and mathematical results which then can be applied to matematical models of the real world. The problem class includes initial value problems (IVP) for first order differential equations with constant and variable unbounded operator coefficients in a Banach space (the heat equation is a simple example), boundary value problems for the second order elliptic differential equation with an operator coefficient (e.g. the Laplace equation), IVPs for the second order strongly damped differential equation as well as exponentially convergent methods to IVPs for the first order nonlinear differential equation with unbounded operator coefficients. For researchers and students of numerical functional analysis, engineering and other sciences this book provides highly efficient algorithms for the numerical solution of differential equations and applied problems" -- P. 4 of cover.
Table Of Contents
1. Introduction
2. Preliminaries
3. The first-order equations
4. The second-order equations.
Authorized Access Point
Gavrilyuk, Ivan P. Exponentially convergent algorithms for abstract differential equations
Admin Metadata
Generation Process: DLC marc2bibframe2 v2.5.0
Status: changed
Encoding Level: minimal
Description Conventions: Anglo-American cataloguing rules
Identified By: bf:Local, 16831346 bf:Local, 016007170
Change Date: 2013-04-24T07:49:27
Creation Date: 2011-06-17
Description Modifier: United States, Library of Congress
Description Authentication: LC Copy Cataloging
Assigner: IXA