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Stochastic discrete Hamiltonian variational integrators.
BIT Numer Math. 2018;58(4):1009-1048. doi: 10.1007/s10543-018-0720-2. Epub 2018 Aug 16.
BIT Numer Math. 2018.
PMID: 30894795
Free PMC article.
Variational principles for stochastic soliton dynamics.
Holm DD, Tyranowski TM.
Holm DD, et al. Among authors: tyranowski tm.
Proc Math Phys Eng Sci. 2016 Mar;472(2187):20150827. doi: 10.1098/rspa.2015.0827.
Proc Math Phys Eng Sci. 2016.
PMID: 27118922
Free PMC article.
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Stochastic variational principles for the collisional Vlasov-Maxwell and Vlasov-Poisson equations.
Tyranowski TM.
Tyranowski TM.
Proc Math Phys Eng Sci. 2021 Aug;477(2252):20210167. doi: 10.1098/rspa.2021.0167. Epub 2021 Aug 25.
Proc Math Phys Eng Sci. 2021.
PMID: 35153571
Free PMC article.
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New variational and multisymplectic formulations of the Euler-Poincaré equation on the Virasoro-Bott group using the inverse map.
Holm DD, Tyranowski TM.
Holm DD, et al. Among authors: tyranowski tm.
Proc Math Phys Eng Sci. 2018 May;474(2213):20180052. doi: 10.1098/rspa.2018.0052. Epub 2018 May 9.
Proc Math Phys Eng Sci. 2018.
PMID: 29887752
Free PMC article.
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