INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9788847055216
NATIONAL BIBLIOGRAPHY NUMBER
Country Code
IR
Number
EN-52499
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 models for differential problems
General Material Designation
[Book]
First Statement of Responsibility
/ Alfio Quarteroni
EDITION STATEMENT
Edition Statement
Second edition.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Milan ;New York
Name of Publisher, Distributor, etc.
: Springer,
Date of Publication, Distribution, etc.
, 2014.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xix, 656 pages , illustrations , 24 cm..
SERIES
Series Title
(MS&A
Volume Designation
; v. 8,2037-5255)
GENERAL NOTES
Text of Note
"Translated by Silvia Quarteroni from the original Italian edition: A. Quarteroni, Modellistica Numerica per Problemi Differenziali, 5th ed., Springer-Verlag Italia, Milano, 2012"-- t.p. verso.
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (pages 635-648) and index..
CONTENTS NOTE
Text of Note
Abstract: In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations. We then analyze numerical solution methods based on finite elements, finite differences, finite volumes, spectral methods and domain decomposition methods, and reduced basis methods. In particular, we discuss the algorithmic and computer implementation aspects and provide a number of easy-to-use programs. The text does not require any previous advanced mathematical knowledge of partial differential equations: the absolutely essential concepts are reported in a preliminary chapter. It is therefore suitable for students of bachelor and master courses in scientific disciplines, and recommendable to those researchers in the academic and extra-academic domain who want to approach this interesting branch of applied mathematics --.
Text of Note
1. A brief survey of partial differential equations -- 2. Elements of functional analysis -- 3. Elliptic equations -- 4. The Galerkin finite element method for elliptic problems -- 5. Parabolic equations -- 6. Generation of 1D and 2D grids -- 7. Algorithms for the solution of linear systems -- 8. Elements of finite element programming -- 9. The finite volume method -- 10. Spectral methods -- 11. Discontinuous element methods (DG and mortar) -- 12. Diffusion-transport-reaction equations -- 13. Finite differences for hyperbolic equations -- 14. Finite elements and spectral methods for hyperbolic equations -- 15. Nonlinear hyperbolic problems -- 16. Navier-Stokes equations -- 17. Optimal control of partial differential equations -- 18. Domain decomposition methods -- 19. Reduced basis approximation for parametrized partial differential equations.
SERIES
Title
MS&A (Series)
Volume Number
v. 8
UNIFORM TITLE
[Modellistica numerica per problemi differenziali.]
TOPICAL NAME USED AS SUBJECT
Differential equations, Partial, Numerical solutions
Numerisches Verfahren, gnd
Partielle Differentialgleichung, gnd
LIBRARY OF CONGRESS CLASSIFICATION
Class number
E-BOOK
PERSONAL NAME - SECONDARY RESPONSIBILITY
Quarteroni, Alfio
ORIGINATING SOURCE
Country
ایران
ELECTRONIC LOCATION AND ACCESS
Host name
9788847055216.pdf
Access number
عادی
Compression information
عادی
Date and Hour of Consultation and Access
9788847055216.pdf
Electronic Format Type
متن
old catalog
e
BL
1
a
Y
