The Resource Discrete Mechanics, Geometric Integration and Lie–Butcher Series : DMGILBS, Madrid, May 2015, edited by Kurusch EbrahimiFard, María Barbero Liñán, (electronic resource)
Discrete Mechanics, Geometric Integration and Lie–Butcher Series : DMGILBS, Madrid, May 2015, edited by Kurusch EbrahimiFard, María Barbero Liñán, (electronic resource)
Resource Information
The item Discrete Mechanics, Geometric Integration and Lie–Butcher Series : DMGILBS, Madrid, May 2015, edited by Kurusch EbrahimiFard, María Barbero Liñán, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Discrete Mechanics, Geometric Integration and Lie–Butcher Series : DMGILBS, Madrid, May 2015, edited by Kurusch EbrahimiFard, María Barbero Liñán, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 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 highquality 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.
 Language
 eng
 Extent
 1 online resource (X, 361 pages)
 Contents

 Preface
 A. Iserles and G.R.W. Quispel, Why geometric numerical integration?
 B. Owren, Lie group integrators
 H. Z. MuntheKaas and K. K. Føllesdal, Lie–Butcher series, Geometry, Algebra and Computation
 A. Murua and J. M. SanzSerna, Averaging and computing normal forms with word series algorithms
 L. A. Duffaut Espinosa, K. EbrahimiFard, and W. Steven Gray, Combinatorial Hopf algebras for interconnected nonlinear inputoutput systems with a view towards discretization
 F. Casas, Computational aspects of some exponential identities
 K. EbrahimiFard and I. Mencattini, PostLie 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 BSeries
 References.
 Isbn
 9783030013974
 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 EbrahimiFard, María Barbero Liñán
 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 highquality 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.
 Assigning source
 Provided by publisher
 Image bit depth
 0
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName

 EbrahimiFard, 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 EbrahimiFard, María Barbero Liñán, (electronic resource)
 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. MuntheKaas and K. K. Føllesdal, Lie–Butcher series, Geometry, Algebra and Computation  A. Murua and J. M. SanzSerna, Averaging and computing normal forms with word series algorithms  L. A. Duffaut Espinosa, K. EbrahimiFard, and W. Steven Gray, Combinatorial Hopf algebras for interconnected nonlinear inputoutput systems with a view towards discretization  F. Casas, Computational aspects of some exponential identities  K. EbrahimiFard and I. Mencattini, PostLie 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 BSeries  References.
 Control code
 9783030013974
 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, noncommercial 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 EbrahimiFard, María Barbero Liñán, (electronic resource)
 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. MuntheKaas and K. K. Føllesdal, Lie–Butcher series, Geometry, Algebra and Computation  A. Murua and J. M. SanzSerna, Averaging and computing normal forms with word series algorithms  L. A. Duffaut Espinosa, K. EbrahimiFard, and W. Steven Gray, Combinatorial Hopf algebras for interconnected nonlinear inputoutput systems with a view towards discretization  F. Casas, Computational aspects of some exponential identities  K. EbrahimiFard and I. Mencattini, PostLie 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 BSeries  References.
 Control code
 9783030013974
 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, noncommercial 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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/DiscreteMechanicsGeometricIntegrationand/l387rU2Wmiw/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/DiscreteMechanicsGeometricIntegrationand/l387rU2Wmiw/">Discrete Mechanics, Geometric Integration and Lie–Butcher Series : DMGILBS, Madrid, May 2015, edited by Kurusch EbrahimiFard, María Barbero Liñán, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>