The Resource Essential partial differential equations : analytical and computational aspects, David F. Griffiths, John W. Dold, David J. Silvester

Essential partial differential equations : analytical and computational aspects, David F. Griffiths, John W. Dold, David J. Silvester

Label
Essential partial differential equations : analytical and computational aspects
Title
Essential partial differential equations
Title remainder
analytical and computational aspects
Statement of responsibility
David F. Griffiths, John W. Dold, David J. Silvester
Creator
Contributor
Author
Subject
Genre
Language
eng
Summary
This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs). It unifies an analytical and computational approach for these; the qualitative behaviour of solutions being established using classical concepts: maximum principles and energy methods. Notable inclusions are the treatment of irregularly shaped boundaries, polar coordinates and the use of flux-limiters when approximating hyperbolic conservation laws. The numerical analysis of difference schemes is rigorously developed using discrete maximum principles and discrete Fourier analysis. A novel feature is the inclusion of a chapter containing projects, intended for either individual or group study, that cover a range of topics such as parabolic smoothing, travelling waves, isospectral matrices, and the approximation of multidimensional advection-diffusion problems. The underlying theory is illustrated by numerous examples and there are around 300 exercises, designed to promote and test understanding. They are starred according to level of difficulty. Solutions to odd-numbered exercises are available to all readers while even-numbered solutions are available to authorised instructors. Written in an informal yet rigorous style, Essential Partial Differential Equations is designed for mathematics undergraduates in their final or penultimate year of university study, but will be equally useful for students following other scientific an d engineering disciplines in which PDEs are of practical importance. The only prerequisite is a familiarity with the basic concepts of calculus and linear algebra
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Griffiths, D. F.
Dewey number
515/.353
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA374
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Dold, John W.
  • Silvester, David J.
Series statement
Springer undergraduate mathematics series,
http://library.link/vocab/subjectName
  • Differential equations, Partial
  • Differential equations, Partial
  • Differential calculus & equations
  • Mathematical modelling
  • Mathematics
  • Mathematics
  • Mathematics
  • Numerical analysis
  • Differential equations, Partial
  • Differential equations, Partial
  • Mathematics
  • Partial Differential Equations
  • Mathematical Applications in the Physical Sciences
  • Computational Mathematics and Numerical Analysis
Label
Essential partial differential equations : analytical and computational aspects, David F. Griffiths, John W. Dold, David J. Silvester
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-22569-2
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Setting the scene -- Boundary and initial data -- The origin of PDEs -- Classification of PDEs -- Boundary value problems in R1 -- Finite difference methods in R1 -- Maximum principles and energy methods -- Separation of variables -- The method of characteristics -- Finite difference methods for elliptic PDEs -- Finite difference methods for parabolic PDEs -- Finite difference methods for hyperbolic PDEs -- Projects
Dimensions
unknown
Extent
1 online resource (xi, 368 pages)
File format
unknown
Form of item
online
Isbn
9783319225692
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-22569-2
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)922970947
  • (OCoLC)ocn922970947
Label
Essential partial differential equations : analytical and computational aspects, David F. Griffiths, John W. Dold, David J. Silvester
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-22569-2
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Setting the scene -- Boundary and initial data -- The origin of PDEs -- Classification of PDEs -- Boundary value problems in R1 -- Finite difference methods in R1 -- Maximum principles and energy methods -- Separation of variables -- The method of characteristics -- Finite difference methods for elliptic PDEs -- Finite difference methods for parabolic PDEs -- Finite difference methods for hyperbolic PDEs -- Projects
Dimensions
unknown
Extent
1 online resource (xi, 368 pages)
File format
unknown
Form of item
online
Isbn
9783319225692
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-22569-2
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)922970947
  • (OCoLC)ocn922970947

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