Coverart for item
The Resource Scaling of Differential Equations, by Hans Petter Langtangen, Geir K. Pedersen, (electronic resource)

Scaling of Differential Equations, by Hans Petter Langtangen, Geir K. Pedersen, (electronic resource)

Label
Scaling of Differential Equations
Title
Scaling of Differential Equations
Statement of responsibility
by Hans Petter Langtangen, Geir K. Pedersen
Creator
Contributor
Author
Subject
Language
eng
Summary
The book serves both as a reference for various scaled models with corresponding dimensionless numbers, and as a resource for learning the art of scaling. A special feature of the book is the emphasis on how to create software for scaled models, based on existing software for unscaled models. Scaling (or non-dimensionalization) is a mathematical technique that greatly simplifies the setting of input parameters in numerical simulations. Moreover, scaling enhances the understanding of how different physical processes interact in a differential equation model. Compared to the existing literature, where the topic of scaling is frequently encountered, but very often in only a brief and shallow setting, the present book gives much more thorough explanations of how to reason about finding the right scales. This process is highly problem dependent, and therefore the book features a lot of worked examples, from very simple ODEs to systems of PDEs, especially from fluid mechanics. The text is easily accessible and example-driven. The first part on ODEs fits even a lower undergraduate level, while the most advanced multiphysics fluid mechanics examples target the graduate level. The scientific literature is full of scaled models, but in most of the cases, the scales are just stated without thorough mathematical reasoning. This book explains how the scales are found mathematically. This book will be a valuable read for anyone doing numerical simulations based on ordinary or partial differential equations.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorDate
1962-
http://library.link/vocab/creatorName
Langtangen, Hans Petter
Dewey number
223
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Pedersen, Geir K.
Series statement
  • Simula SpringerBriefs on Computing
  • Open Access e-Books
Series volume
2
http://library.link/vocab/subjectName
  • Mathematics
  • Computer simulation
  • Differential equations
  • Partial differential equations
  • Computer mathematics
  • Mathematical models
Label
Scaling of Differential Equations, by Hans Petter Langtangen, Geir K. Pedersen, (electronic resource)
Link
http://dx.doi.org/10.1007/978-3-319-32726-6
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Preface -- 1 Dimensions and Units -- 2 Ordinary Differential Equations Models -- 3 Basic Partial Differential Equations Models -- Advanced Partial Differential Equations Models -- References -- Index
Control code
978-3-319-32726-6
Dimensions
unknown
Extent
1 online resource (XIII, 138 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Isbn
9783319327266
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-32726-6
Other physical details
22 illustrations.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)952470674
Label
Scaling of Differential Equations, by Hans Petter Langtangen, Geir K. Pedersen, (electronic resource)
Link
http://dx.doi.org/10.1007/978-3-319-32726-6
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Preface -- 1 Dimensions and Units -- 2 Ordinary Differential Equations Models -- 3 Basic Partial Differential Equations Models -- Advanced Partial Differential Equations Models -- References -- Index
Control code
978-3-319-32726-6
Dimensions
unknown
Extent
1 online resource (XIII, 138 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Isbn
9783319327266
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-32726-6
Other physical details
22 illustrations.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)952470674

Library Locations

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