The Resource Essential Partial Differential Equations : Analytical and Computational Aspects, by David F. Griffiths, John W. Dold, David J. Silvester, (electronic resource)

Essential Partial Differential Equations : Analytical and Computational Aspects, by David F. Griffiths, John W. Dold, David J. Silvester, (electronic resource)

Label
Essential Partial Differential Equations : Analytical and Computational Aspects
Title
Essential Partial Differential Equations
Title remainder
Analytical and Computational Aspects
Statement of responsibility
by David F. Griffiths, John W. Dold, David J. Silvester
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • 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
http://library.link/vocab/creatorName
Griffiths, David F
Dewey number
515.353
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • VdNcBDuNfC4
  • NLurtQ_0qaM
  • qSdcIlMuSEE
Image bit depth
0
Language note
English
LC call number
QA370-380
Literary form
non fiction
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
  • Computer science
  • Partial Differential Equations
  • Mathematical Applications in the Physical Sciences
  • Computational Mathematics and Numerical Analysis
Label
Essential Partial Differential Equations : Analytical and Computational Aspects, by David F. Griffiths, John W. Dold, David J. Silvester, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
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
Edition
1st ed. 2015.
Extent
1 online resource (XI, 368 p. 106 illus., 1 illus. in color.)
File format
multiple file formats
Form of item
online
Isbn
9783319225692
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-319-22569-2
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3710000000521698
  • (SSID)ssj0001585092
  • (PQKBManifestationID)16265150
  • (PQKBTitleCode)TC0001585092
  • (PQKBWorkID)14864320
  • (PQKB)11064107
  • (DE-He213)978-3-319-22569-2
  • (EXLCZ)993710000000521698
Label
Essential Partial Differential Equations : Analytical and Computational Aspects, by David F. Griffiths, John W. Dold, David J. Silvester, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
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
Edition
1st ed. 2015.
Extent
1 online resource (XI, 368 p. 106 illus., 1 illus. in color.)
File format
multiple file formats
Form of item
online
Isbn
9783319225692
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-319-22569-2
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3710000000521698
  • (SSID)ssj0001585092
  • (PQKBManifestationID)16265150
  • (PQKBTitleCode)TC0001585092
  • (PQKBWorkID)14864320
  • (PQKB)11064107
  • (DE-He213)978-3-319-22569-2
  • (EXLCZ)993710000000521698

Library Locations

  • Architecture LibraryBorrow it
    Gould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US
    35.205706 -97.445050
  • Bizzell Memorial LibraryBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Boorstin CollectionBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Chinese Literature Translation ArchiveBorrow it
    401 W. Brooks St., RM 414, Norman, OK, 73019, US
    35.207487 -97.447906
  • Engineering LibraryBorrow it
    Felgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US
    35.205706 -97.445050
  • Fine Arts LibraryBorrow it
    Catlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US
    35.210371 -97.448244
  • Harry W. Bass Business History CollectionBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • History of Science CollectionsBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • John and Mary Nichols Rare Books and Special CollectionsBorrow it
    401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • Library Service CenterBorrow it
    2601 Technology Place, Norman, OK, 73019, US
    35.185561 -97.398361
  • Price College Digital LibraryBorrow it
    Adams Hall 102 307 West Brooks St., Norman, OK, 73019, US
    35.210371 -97.448244
  • Western History CollectionsBorrow it
    Monnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US
    35.209584 -97.445414
Processing Feedback ...