INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9780080917047 (electronic bk.)
NATIONAL BIBLIOGRAPHY NUMBER
Country Code
IR
Number
EN-54236
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
COUNTRY OF PUBLICATION OR PRODUCTlON
Country of publication
IR
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Numerical time-dependent partial differential equations for scientists and engineer
General Material Designation
[Book]
First Statement of Responsibility
/ Moysey Brio, Aramais R. Zakharian, Gary M. Webb
EDITION STATEMENT
Edition Statement
1st ed.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Amsterdam ;Boston
Name of Publisher, Distributor, etc.
: Elsevier,
Date of Publication, Distribution, etc.
, 2010.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (x, 294 p.)
Other Physical Details
: , ill.
SERIES
Series Title
(Mathematics in science and engineering,0076-5392
Volume Designation
; v. 213.)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (p. 273-287) and index.
CONTENTS NOTE
Text of Note
Overview of properties partial differential equations -- Methods of discretization -- Convergence theory for initial value problems -- Numerical boundary conditions -- Problems with multiple temporal and spatial scales -- Nonuniform, adaptive and moving grids.
Text of Note
It is the first text that in addition to standard convergence theory treats other necessary ingredients for successful numerical simulations of physical systems encountered by every practitioner. The book is aimed at users with interests ranging from application modeling to numerical analysis and scientific software development. It is strongly influenced by the authors research in in space physics, electrical and optical engineering, applied mathematics, numerical analysis and professional software development. The material is based on a year-long graduate course taught at the University of Arizona since 1989. The book covers the first two-semesters of a three semester series. The second semester is based on a semester-long project, while the third semester requirement consists of a particular methods course in specific disciplines like computational fluid dynamics, finite element method in mechanical engineering, computational physics, biology, chemistry, photonics, etc. The first three chapters focus on basic properties of partial differential equations, including analysis of the dispersion relation, symmetries, particular solutions and instabilities of the PDEs; methods of discretization and convergence theory for initial value problems. The goal is to progress from observations of simple numerical artifacts like diffusion, damping, dispersion, and anisotropies to their analysis and management technique, as it is not always possible to completely eliminate them. In the second part of the book we cover topics for which there are only sporadic theoretical results, while they are an integral part and often the most important part for successful numerical simulation. We adopt a more heuristic and practical approach using numerical methods of investigation and validation. The aim is teach students subtle key issues in order to separate physics from numerics. The following topics are addressed: Implementation of transparent and absorbing boundary conditions; Practical stability analysis in the presence of the boundaries and interfaces; Treatment of problems with different temporal/spatial scales either explicit or implicit; preservation of symmetries and additional constraints; physical regularization of singularities; resolution enhancement using adaptive mesh refinement and moving meshes. Self contained presentation of key issues in successful numerical simulation Accessible to scientists and engineers with diverse background Provides analysis of the dispersion relation, symmetries, particular solutions and instabilities of the partial differential equations.
SERIES
Title
Mathematics in science and engineering
Volume Number
v. 213
TOPICAL NAME USED AS SUBJECT
Differential equations, Partial, Numerical solutions
Electronic books
LIBRARY OF CONGRESS CLASSIFICATION
Class number
E-BOOK
PERSONAL NAME - PRIMARY RESPONSIBILITY
Brio, Moysey,1952-
PERSONAL NAME - SECONDARY RESPONSIBILITY
Webb, Gary M
Zakharian, Aramais R
ORIGINATING SOURCE
Country
ایران
ELECTRONIC LOCATION AND ACCESS
Host name
9780121339814.pdf
Access number
عادی
Compression information
عادی
Date and Hour of Consultation and Access
9780121339814.pdf
Electronic Format Type
متن
old catalog
e
BL
1
a
Y
