Coverart for item
The Resource The Parameterization Method for Invariant Manifolds : From Rigorous Results to Effective Computations, by Àlex Haro, Marta Canadell, Jordi-Lluis Figueras, Alejandro Luque, Josep Maria Mondelo, (electronic resource)

The Parameterization Method for Invariant Manifolds : From Rigorous Results to Effective Computations, by Àlex Haro, Marta Canadell, Jordi-Lluis Figueras, Alejandro Luque, Josep Maria Mondelo, (electronic resource)

Label
The Parameterization Method for Invariant Manifolds : From Rigorous Results to Effective Computations
Title
The Parameterization Method for Invariant Manifolds
Title remainder
From Rigorous Results to Effective Computations
Statement of responsibility
by Àlex Haro, Marta Canadell, Jordi-Lluis Figueras, Alejandro Luque, Josep Maria Mondelo
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
This monograph presents some theoretical and computational aspects of the parameterization method for invariant manifolds, focusing on the following contexts: invariant manifolds associated with fixed points, invariant tori in quasi-periodically forced systems, invariant tori in Hamiltonian systems and normally hyperbolic invariant manifolds. This book provides algorithms of computation and some practical details of their implementation. The methodology is illustrated with 12 detailed examples, many of them well known in the literature of numerical computation in dynamical systems. A public version of the software used for some of the examples is available online. The book is aimed at mathematicians, scientists and engineers interested in the theory and applications of computational dynamical systems
Member of
http://library.link/vocab/creatorName
Haro, Àlex
Image bit depth
0
LC call number
QA313
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Canadell, Marta.
  • Figueras, Jordi-Lluis.
  • Luque, Alejandro.
  • Mondelo, Josep Maria.
  • SpringerLink
Series statement
Applied Mathematical Sciences,
Series volume
195
http://library.link/vocab/subjectName
  • Mathematics
  • Dynamics
  • Ergodic theory
  • Partial differential equations
  • Numerical analysis
  • Statistical physics
  • Dynamical systems
  • Mathematics
  • Dynamical Systems and Ergodic Theory
  • Statistical Physics, Dynamical Systems and Complexity
  • Numerical Analysis
  • Partial Differential Equations
Label
The Parameterization Method for Invariant Manifolds : From Rigorous Results to Effective Computations, by Àlex Haro, Marta Canadell, Jordi-Lluis Figueras, Alejandro Luque, Josep Maria Mondelo, (electronic resource)
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
An Overview of the Parameterization Method for Invariant Manifolds -- Seminumerical Algorithms for Computing Invariant Manifolds of Vector Fields at Fixed Points -- The Parameterization Method for Quasi-Periodic Systems: From Rigorous Results to Validated Numerics -- The Parameterization Method in KAM Theory -- A Newton-like Method for Computing Normally Hyperbolic Invariant Tori
Dimensions
unknown
Extent
XVI, 267 p. 58 illus., 55 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319296623
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-29662-3
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-29662-3
Label
The Parameterization Method for Invariant Manifolds : From Rigorous Results to Effective Computations, by Àlex Haro, Marta Canadell, Jordi-Lluis Figueras, Alejandro Luque, Josep Maria Mondelo, (electronic resource)
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
An Overview of the Parameterization Method for Invariant Manifolds -- Seminumerical Algorithms for Computing Invariant Manifolds of Vector Fields at Fixed Points -- The Parameterization Method for Quasi-Periodic Systems: From Rigorous Results to Validated Numerics -- The Parameterization Method in KAM Theory -- A Newton-like Method for Computing Normally Hyperbolic Invariant Tori
Dimensions
unknown
Extent
XVI, 267 p. 58 illus., 55 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319296623
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-29662-3
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-29662-3

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