The Resource Formal algorithmic elimination for PDEs, Daniel Robertz

Formal algorithmic elimination for PDEs, Daniel Robertz

Label
Formal algorithmic elimination for PDEs
Title
Formal algorithmic elimination for PDEs
Statement of responsibility
Daniel Robertz
Title variation
Formal algorithmic elimination for partial differential equations
Creator
Author
Subject
Language
eng
Summary
Investigating the correspondence between systems of partial differential equations and their analytic solutions using a formal approach, this monograph presents algorithms to determine the set of analytic solutions of such a system and conversely to find differential equations whose set of solutions coincides with a given parametrized set of analytic functions. After giving a detailed introduction to Janet bases and Thomas decomposition, the problem of finding an implicit description of certain sets of analytic functions in terms of differential equations is addressed. Effective methods of varying generality are developed to solve the differential elimination problems that arise in this context. In particular, it is demonstrated how the symbolic solution of partial differential equations profits from the study of the implicitization problem. For instance, certain families of exact solutions of the Navier-Stokes equations can be computed
Member of
Cataloging source
HNK
http://library.link/vocab/creatorDate
1977-
http://library.link/vocab/creatorName
Robertz, Daniel
Dewey number
512.9/4
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA192
LC item number
.R62 2014eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
2121
http://library.link/vocab/subjectName
  • Elimination
  • Differential equations, Partial
  • Mathematics
Label
Formal algorithmic elimination for PDEs, Daniel Robertz
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-11445-3
Instantiates
Publication
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
Introduction -- Formal Methods for PDE Systems -- Differential Elimination for Analytic Functions -- Basic Principles and Supplementary Material -- References -- List of Algorithms -- List of Examples -- Index of Notation -- Index
Dimensions
unknown
Extent
1 online resource (viii, 283 pages)
Form of item
online
Isbn
9783319114453
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-11445-3
Other physical details
illustrations.
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)893599803
  • (OCoLC)ocn893599803
Label
Formal algorithmic elimination for PDEs, Daniel Robertz
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-11445-3
Publication
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
Introduction -- Formal Methods for PDE Systems -- Differential Elimination for Analytic Functions -- Basic Principles and Supplementary Material -- References -- List of Algorithms -- List of Examples -- Index of Notation -- Index
Dimensions
unknown
Extent
1 online resource (viii, 283 pages)
Form of item
online
Isbn
9783319114453
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-11445-3
Other physical details
illustrations.
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)893599803
  • (OCoLC)ocn893599803

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