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
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
Dewey number
512.482
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt
  • wKnjIcdvA8U
  • Fga4rRmu2g0
LC call number
QA297-299.4
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,
Series volume
267
http://library.link/vocab/subjectName
  • Numerical analysis
  • Global differential geometry
  • Systems theory
  • Topological Groups
  • Algebra
  • Numerical Analysis
  • Differential Geometry
  • Systems Theory, Control
  • Topological Groups, Lie Groups
  • Non-associative Rings and Algebras
Label
Discrete Mechanics, Geometric Integration and Lie–Butcher Series : DMGILBS, Madrid, May 2015, edited by Kurusch Ebrahimi-Fard, María Barbero Liñán, (electronic resource)
Instantiates
Publication
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
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.
Dimensions
unknown
Edition
1st ed. 2018.
Extent
1 online resource (x, 361 pages)
Form of item
online
Isbn
9783030013974
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-030-01397-4
Other physical details
illustrations.
Sound
unknown sound
Specific material designation
remote
System control number
  • (CKB)4100000007110678
  • (MiAaPQ)EBC5598680
  • (DE-He213)978-3-030-01397-4
  • (EXLCZ)994100000007110678
Label
Discrete Mechanics, Geometric Integration and Lie–Butcher Series : DMGILBS, Madrid, May 2015, edited by Kurusch Ebrahimi-Fard, María Barbero Liñán, (electronic resource)
Publication
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
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.
Dimensions
unknown
Edition
1st ed. 2018.
Extent
1 online resource (x, 361 pages)
Form of item
online
Isbn
9783030013974
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-030-01397-4
Other physical details
illustrations.
Sound
unknown sound
Specific material designation
remote
System control number
  • (CKB)4100000007110678
  • (MiAaPQ)EBC5598680
  • (DE-He213)978-3-030-01397-4
  • (EXLCZ)994100000007110678

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