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- W2937432816 abstract "Variational integrators are derived for structure-preserving simulation of stochastic forced Hamiltonian systems. The derivation is based on a stochastic discrete Hamiltonian which approximates a type-II stochastic generating function for the stochastic flow of the Hamiltonian system. The generating function is obtained by introducing an appropriate stochastic action functional and considering a stochastic generalization of the deterministic Lagrange-d'Alembert principle. Our approach presents a general methodology to derive new structure-preserving numerical schemes. The resulting integrators satisfy a discrete version of the stochastic Lagrange-d'Alembert principle, and in the presence of symmetries, they also satisfy a discrete counterpart of Noether's theorem. Furthermore, mean-square and weak Lagrange-d'Alembert Runge-Kutta methods are proposed and tested numerically to demonstrate their superior long-time numerical stability and energy behavior compared to non-geometric methods. The Vlasov-Fokker-Planck equation is considered as one of the numerical test cases, and a new geometric approach to collisional kinetic plasmas is presented." @default.
- W2937432816 created "2019-04-25" @default.
- W2937432816 creator A5014275059 @default.
- W2937432816 creator A5042911536 @default.
- W2937432816 date "2019-04-11" @default.
- W2937432816 modified "2023-09-23" @default.
- W2937432816 title "Variational integrators for stochastic dissipative Hamiltonian systems" @default.
- W2937432816 cites W136781028 @default.
- W2937432816 cites W1495908647 @default.
- W2937432816 cites W1509923322 @default.
- W2937432816 cites W1544770838 @default.
- W2937432816 cites W1575104486 @default.
- W2937432816 cites W1596592269 @default.
- W2937432816 cites W1614234154 @default.
- W2937432816 cites W161929197 @default.
- W2937432816 cites W1623662406 @default.
- W2937432816 cites W1632394513 @default.
- W2937432816 cites W1752011422 @default.
- W2937432816 cites W1823592356 @default.
- W2937432816 cites W194549626 @default.
- W2937432816 cites W1968523187 @default.
- W2937432816 cites W1968934729 @default.
- W2937432816 cites W1972941843 @default.
- W2937432816 cites W1973794074 @default.
- W2937432816 cites W1982439384 @default.
- W2937432816 cites W1982928239 @default.
- W2937432816 cites W1987455854 @default.
- W2937432816 cites W1987602400 @default.
- W2937432816 cites W2006308553 @default.
- W2937432816 cites W2006456409 @default.
- W2937432816 cites W2007369695 @default.
- W2937432816 cites W2007556342 @default.
- W2937432816 cites W2008244932 @default.
- W2937432816 cites W2017032949 @default.
- W2937432816 cites W2017686863 @default.
- W2937432816 cites W2020526937 @default.
- W2937432816 cites W2021383257 @default.
- W2937432816 cites W2029497786 @default.
- W2937432816 cites W2032090338 @default.
- W2937432816 cites W2035273602 @default.
- W2937432816 cites W2037447641 @default.
- W2937432816 cites W2039078443 @default.
- W2937432816 cites W2041141176 @default.
- W2937432816 cites W2043666236 @default.
- W2937432816 cites W2045177440 @default.
- W2937432816 cites W2049511033 @default.
- W2937432816 cites W2051363713 @default.
- W2937432816 cites W2063233216 @default.
- W2937432816 cites W2064373059 @default.
- W2937432816 cites W2066083709 @default.
- W2937432816 cites W2066245794 @default.
- W2937432816 cites W2068020312 @default.
- W2937432816 cites W2071889875 @default.
- W2937432816 cites W2072203191 @default.
- W2937432816 cites W2073108084 @default.
- W2937432816 cites W2074709256 @default.
- W2937432816 cites W2078522043 @default.
- W2937432816 cites W2078916875 @default.
- W2937432816 cites W2079191395 @default.
- W2937432816 cites W2084807853 @default.
- W2937432816 cites W2089446228 @default.
- W2937432816 cites W2094034395 @default.
- W2937432816 cites W2098550758 @default.
- W2937432816 cites W2100684252 @default.
- W2937432816 cites W2104049095 @default.
- W2937432816 cites W2105805106 @default.
- W2937432816 cites W2108847817 @default.
- W2937432816 cites W2115419447 @default.
- W2937432816 cites W2119968067 @default.
- W2937432816 cites W2124969394 @default.
- W2937432816 cites W2128069584 @default.
- W2937432816 cites W2130487464 @default.
- W2937432816 cites W2136408597 @default.
- W2937432816 cites W2138475942 @default.
- W2937432816 cites W2143772503 @default.
- W2937432816 cites W2148122481 @default.
- W2937432816 cites W2148437017 @default.
- W2937432816 cites W2157581798 @default.
- W2937432816 cites W2164042891 @default.
- W2937432816 cites W2166338986 @default.
- W2937432816 cites W2168958073 @default.
- W2937432816 cites W2170039048 @default.
- W2937432816 cites W2170649762 @default.
- W2937432816 cites W2170960657 @default.
- W2937432816 cites W2202178721 @default.
- W2937432816 cites W230980609 @default.
- W2937432816 cites W2332515471 @default.
- W2937432816 cites W2338595720 @default.
- W2937432816 cites W2473437170 @default.
- W2937432816 cites W2512220659 @default.
- W2937432816 cites W2516978584 @default.
- W2937432816 cites W2521918606 @default.
- W2937432816 cites W2560527272 @default.
- W2937432816 cites W2588462677 @default.
- W2937432816 cites W2591998133 @default.
- W2937432816 cites W2745750592 @default.
- W2937432816 cites W2784871932 @default.
- W2937432816 cites W2786338055 @default.
- W2937432816 cites W2799664482 @default.
- W2937432816 cites W2921421400 @default.