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Astrophysical Journal Letters, ISSN 2041-8205, 08/2015, Volume 809, Issue 1, pp. L9 - 6
Journal Article
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, ISSN 1751-8113, 11/2019, Volume 52, Issue 44, p. 445206
We present geometric numerical integrators for contact flows that stem from a discretization of Herglotz' variational principle... 
Herglotz' variational principle | THERMODYNAMICS | PHYSICS, MULTIDISCIPLINARY | geometric integrators | contact geometry | HAMILTONIAN-DYNAMICS | (3+1)-DIMENSIONAL SYSTEMS | VARIABLES | MANIFOLDS | QUANTIZATION | PHYSICS, MATHEMATICAL | GEOMETRY
Journal Article
International Journal for Numerical Methods in Engineering, ISSN 0029-5981, 04/2018, Volume 114, Issue 3, pp. 215 - 231
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 01/2014, Volume 257, pp. 1040 - 1061
Journal Article
IMA Journal of Numerical Analysis, ISSN 0272-4979, 10/2011, Volume 31, Issue 4, pp. 1497 - 1532
Journal Article
BIT Numerical Mathematics, ISSN 0006-3835, 12/2018, Volume 58, Issue 4, pp. 1009 - 1048
Journal Article
IMA Journal of Numerical Analysis, ISSN 0272-4979, 4/2009, Volume 29, Issue 2, pp. 421 - 443
.... These are easy consequences of the fact that the stochastic action is intrinsically defined. Stochastic variational integrators (SVIs... 
Ornstein-Uhlenbeck process | Variational integrators | Stochastic Hamiltonian systems | MATHEMATICS, APPLIED | MECHANICS | RIGID-BODY | MOTION | DIRAC STRUCTURES | EQUATIONS | stochastic Hamiltonian systems | SYSTEMS | variational integrators | Mathematics - Probability
Journal Article
IMA Journal of Numerical Analysis, ISSN 0272-4979, 01/2018, Volume 38, Issue 1, pp. 377 - 398
Abstract Discrete Hamiltonian variational integrators are derived from type II and type III generating functions for symplectic maps, and in this article, we establish a variational error analysis... 
Hamiltonian mechanics | Symplectic integrators | Variational integrators | Geometric mechanics | Geometric numerical integration | MATHEMATICS, APPLIED | symplectic integrators | MECHANICS | geometric numerical integration | geometric mechanics | variational integrators
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 08/2015, Volume 310, pp. 37 - 71
Journal Article
International Journal for Numerical Methods in Engineering, ISSN 0029-5981, 03/2017, Volume 109, Issue 11, pp. 1549 - 1581
Journal Article
Journal of Nonlinear Science, ISSN 0938-8974, 10/2017, Volume 27, Issue 5, pp. 1399 - 1434
Journal Article
Foundations of Computational Mathematics, ISSN 1615-3375, 2/2017, Volume 17, Issue 1, pp. 199 - 257
Journal Article
Physics of Plasmas, ISSN 1070-664X, 10/2017, Volume 24, Issue 10, p. 102311
...Metriplectic integrators for the Landau collision operator Michael Kraus 1,2,a) and Eero Hirvijoki 3,b) 1 Max-Planck-Institut f€ ur Plasmaphysik... 
IN-CELL ALGORITHM | ENERGY | MAXWELL-VLASOV EQUATIONS | PHYSICS, FLUIDS & PLASMAS | DISCONTINUOUS GALERKIN METHODS | PLASMA SIMULATIONS | POISSON SYSTEM | VARIATIONAL FORMULATION | BRACKET FORMULATION | CONTINUOUS HAMILTONIAN SYSTEM | IMPLICIT | 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Journal Article
IMA Journal of Numerical Analysis, ISSN 0272-4979, 07/2012, Volume 32, Issue 3, pp. 1194 - 1216
We introduce a novel technique for constructing higher-order variational integrators for Hamiltonian systems of ordinary differential equations... 
variational order | Hamiltonian ODEs | Lagrangian variational integrators | Euler-Lagrange equations | MATHEMATICS, APPLIED | MECHANICS | DISCRETE
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 08/2018, Volume 338, pp. 333 - 361
Journal Article