Coverart for item
The Resource Discrete Mechanics, Geometric Integration and Lie–Butcher Series : DMGILBS, Madrid, May 2015, edited by Kurusch Ebrahimi-Fard, María Barbero Liñán, (electronic resource)

Discrete Mechanics, Geometric Integration and Lie–Butcher Series : DMGILBS, Madrid, May 2015, edited by Kurusch Ebrahimi-Fard, María Barbero Liñán, (electronic resource)

Label
Discrete Mechanics, Geometric Integration and Lie–Butcher Series : DMGILBS, Madrid, May 2015
Title
Discrete Mechanics, Geometric Integration and Lie–Butcher Series
Title remainder
DMGILBS, Madrid, May 2015
Statement of responsibility
edited by Kurusch Ebrahimi-Fard, María Barbero Liñán
Contributor
Editor
Subject
Language
eng
Summary
This volume resulted from presentations given at the international “Brainstorming Workshop on New Developments in Discrete Mechanics, Geometric Integration and Lie–Butcher Series”, that took place at the Instituto de Ciencias Matemáticas (ICMAT) in Madrid, Spain. It combines overview and research articles on recent and ongoing developments, as well as new research directions. Why geometric numerical integration? In their article of the same title Arieh Iserles and Reinout Quispel, two renowned experts in numerical analysis of differential equations, provide a compelling answer to this question. After this introductory chapter a collection of high-quality research articles aim at exploring recent and ongoing developments, as well as new research directions in the areas of geometric integration methods for differential equations, nonlinear systems interconnections, and discrete mechanics. One of the highlights is the unfolding of modern algebraic and combinatorial structures common to those topics, which give rise to fruitful interactions between theoretical as well as applied and computational perspectives. The volume is aimed at researchers and graduate students interested in theoretical and computational problems in geometric integration theory, nonlinear control theory, and discrete mechanics.--
Member of
Assigning source
Provided by publisher
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Ebrahimi-Fard, Kurusch
  • Barbero Liñán, María
Series statement
  • Springer Proceedings in Mathematics & Statistics,
  • Springer eBooks
  • Springer eBooks.
Series volume
267
http://library.link/vocab/subjectName
  • Numerical analysis
  • Global differential geometry
  • Systems theory
  • Topological Groups
  • Algebra
Label
Discrete Mechanics, Geometric Integration and Lie–Butcher Series : DMGILBS, Madrid, May 2015, edited by Kurusch Ebrahimi-Fard, María Barbero Liñán, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=https://doi.org/10.1007/978-3-030-01397-4
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 -- A. Iserles and G.R.W. Quispel, Why geometric numerical integration? -- B. Owren, Lie group integrators -- H. Z. Munthe-Kaas and K. K. Føllesdal, Lie–Butcher series, Geometry, Algebra and Computation -- A. Murua and J. M. Sanz-Serna, Averaging and computing normal forms with word series algorithms -- L. A. Duffaut Espinosa, K. Ebrahimi-Fard, and W. Steven Gray, Combinatorial Hopf algebras for interconnected nonlinear input-output systems with a view towards discretization -- F. Casas, Computational aspects of some exponential identities -- K. Ebrahimi-Fard and I. Mencattini, Post-Lie Algebras, Factorization Theorems and Isospectral Flows -- G. Bogfjellmo, R. Dahmen, and A.Schmeding, Overview of (pro-)Lie group structures on Hopf algebra character groups, -- M. Barbero Liñán and D. Martín de Diego, Bäcklund transformations in discrete variational principles for Lie–Poisson equations -- M. Vermeeren, Numerical precession in variational discretizations of the Kepler problem -- O. Verdier, Full affine equivariance and weak natural transformations in numerical analysis - the case of B-Series -- References.
Control code
978-3-030-01397-4
Dimensions
unknown
Extent
1 online resource (X, 361 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783030013974
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
169 illustrations, 3 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1062466071
Label
Discrete Mechanics, Geometric Integration and Lie–Butcher Series : DMGILBS, Madrid, May 2015, edited by Kurusch Ebrahimi-Fard, María Barbero Liñán, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=https://doi.org/10.1007/978-3-030-01397-4
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 -- A. Iserles and G.R.W. Quispel, Why geometric numerical integration? -- B. Owren, Lie group integrators -- H. Z. Munthe-Kaas and K. K. Føllesdal, Lie–Butcher series, Geometry, Algebra and Computation -- A. Murua and J. M. Sanz-Serna, Averaging and computing normal forms with word series algorithms -- L. A. Duffaut Espinosa, K. Ebrahimi-Fard, and W. Steven Gray, Combinatorial Hopf algebras for interconnected nonlinear input-output systems with a view towards discretization -- F. Casas, Computational aspects of some exponential identities -- K. Ebrahimi-Fard and I. Mencattini, Post-Lie Algebras, Factorization Theorems and Isospectral Flows -- G. Bogfjellmo, R. Dahmen, and A.Schmeding, Overview of (pro-)Lie group structures on Hopf algebra character groups, -- M. Barbero Liñán and D. Martín de Diego, Bäcklund transformations in discrete variational principles for Lie–Poisson equations -- M. Vermeeren, Numerical precession in variational discretizations of the Kepler problem -- O. Verdier, Full affine equivariance and weak natural transformations in numerical analysis - the case of B-Series -- References.
Control code
978-3-030-01397-4
Dimensions
unknown
Extent
1 online resource (X, 361 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783030013974
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
169 illustrations, 3 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1062466071

Library Locations

    • Badia FiesolanaBorrow it
      Via dei Roccettini 9, San Domenico di Fiesole, 50014, IT
      43.803074 11.283055
Processing Feedback ...