Discrete Mechanics, Geometric Integration and Lie–Butcher Series - Springer Proceedings in Mathematics & Statistics
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9783030013967, 9783030013974

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Lie Group Integrators

Discrete Mechanics, Geometric Integration and Lie–Butcher Series - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-030-01397-4_2 ◽

2018 ◽

pp. 29-69

Author(s):

Brynjulf Owren

Keyword(s):

Lie Group ◽

Lie Group Integrators

Lie–Butcher Series, Geometry, Algebra and Computation

Discrete Mechanics, Geometric Integration and Lie–Butcher Series - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-030-01397-4_3 ◽

2018 ◽

pp. 71-113 ◽

Cited By ~ 1

Author(s):

Hans Z. Munthe-Kaas ◽

Kristoffer K. Føllesdal

Numerical Precession in Variational Discretizations of the Kepler Problem

Discrete Mechanics, Geometric Integration and Lie–Butcher Series - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-030-01397-4_10 ◽

2018 ◽

pp. 333-348

Author(s):

Mats Vermeeren

Keyword(s):

Kepler Problem

Post-Lie Algebras, Factorization Theorems and Isospectral Flows

Discrete Mechanics, Geometric Integration and Lie–Butcher Series - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-030-01397-4_7 ◽

2018 ◽

pp. 231-285 ◽

Cited By ~ 1

Author(s):

Kurusch Ebrahimi-Fard ◽

Igor Mencattini

Keyword(s):

Lie Algebras

Averaging and Computing Normal Forms with Word Series Algorithms

Discrete Mechanics, Geometric Integration and Lie–Butcher Series - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-030-01397-4_4 ◽

2018 ◽

pp. 115-137 ◽

Cited By ~ 1

Author(s):

Ander Murua ◽

Jesús M. Sanz-Serna

Keyword(s):

Normal Forms

Overview of (pro-)Lie Group Structures on Hopf Algebra Character Groups

Discrete Mechanics, Geometric Integration and Lie–Butcher Series - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-030-01397-4_8 ◽

2018 ◽

pp. 287-314

Author(s):

Geir Bogfjellmo ◽

Rafael Dahmen ◽

Alexander Schmeding

Keyword(s):

Hopf Algebra ◽

Lie Group ◽

Group Structures

Why Geometric Numerical Integration?

Discrete Mechanics, Geometric Integration and Lie–Butcher Series - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-030-01397-4_1 ◽

2018 ◽

pp. 1-28

Author(s):

Arieh Iserles ◽

G. R. W. Quispel

Keyword(s):

Numerical Integration ◽

Geometric Numerical Integration

Full Affine Equivariance and Weak Natural Transformations in Numerical Analysis—The Case of B-Series

Discrete Mechanics, Geometric Integration and Lie–Butcher Series - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-030-01397-4_11 ◽

2018 ◽

pp. 349-361

Author(s):

Olivier Verdier

Keyword(s):

Numerical Analysis ◽

Affine Equivariance ◽

Natural Transformations

Combinatorial Hopf Algebras for Interconnected Nonlinear Input-Output Systems with a View Towards Discretization

Discrete Mechanics, Geometric Integration and Lie–Butcher Series - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-030-01397-4_5 ◽

2018 ◽

pp. 139-183 ◽

Cited By ~ 1

Author(s):

Luis A. Duffaut Espinosa ◽

Kurusch Ebrahimi-Fard ◽

W. Steven Gray

Keyword(s):

Hopf Algebras ◽

Input Output ◽

Combinatorial Hopf Algebras ◽

Nonlinear Input

Bäcklund Transformations in Discrete Variational Principles for Lie-Poisson Equations

Discrete Mechanics, Geometric Integration and Lie–Butcher Series - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-030-01397-4_9 ◽

2018 ◽

pp. 315-332

Author(s):

María Barbero Liñán ◽

David Martín de Diego

Keyword(s):

Variational Principles ◽

Bäcklund Transformations ◽

Poisson Equations ◽

Backlund Transformations

Discrete Mechanics, Geometric Integration and Lie–Butcher Series - Springer Proceedings in Mathematics & StatisticsLatest Publications

TOTAL DOCUMENTS

H-INDEX

Published By Springer International Publishing

Lie Group Integrators

Lie–Butcher Series, Geometry, Algebra and Computation

Numerical Precession in Variational Discretizations of the Kepler Problem

Post-Lie Algebras, Factorization Theorems and Isospectral Flows

Averaging and Computing Normal Forms with Word Series Algorithms

Overview of (pro-)Lie Group Structures on Hopf Algebra Character Groups

Why Geometric Numerical Integration?

Full Affine Equivariance and Weak Natural Transformations in Numerical Analysis—The Case of B-Series

Combinatorial Hopf Algebras for Interconnected Nonlinear Input-Output Systems with a View Towards Discretization

Bäcklund Transformations in Discrete Variational Principles for Lie-Poisson Equations

Discrete Mechanics, Geometric Integration and Lie–Butcher Series - Springer Proceedings in Mathematics & Statistics
Latest Publications