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[null,"1.","Record Nr.",null,"UNINA9910674359303321"]
[null,null,"Autore",null,"Hong Jialin"]
[null,null,"Titolo",null,"Symplectic Integration of Stochastic Hamiltonian Systems / / by Jialin Hong, Liying Sun"]
[null,null,"Pubbl/distr/stampa",null,"Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2022"]
[null,null,"ISBN",null,"981-19-7670-8"]
[null,null,"Edizione",null,"[1st ed. 2022.]"]
[null,null,"Descrizione fisica",null,"1 online resource (307 pages)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics, , 1617-9692 ; ; 2314"]
[null,null,"Disciplina",null,"514.74"]
[null,null,"Soggetti",null,"Numerical analysis"]
[{"$nulls":4},"Dynamics"]
[{"$nulls":4},"Probabilities"]
[{"$nulls":4},"Numerical Analysis"]
[{"$nulls":4},"Dynamical Systems"]
[{"$nulls":4},"Probability Theory"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"Chapter 1 Deterministic Hamiltonian System -- Chapter 2 Stochastic Hamiltonian System -- Chapter 3 Stochastic Structure Preserving Numerical Integrators -- Chapter 4 Stochastic Modified Equation and Its Applications -- Chapter 5 Stochastic Hamiltonian Partial Differential Equation."]
[null,null,null,"Sommario/riassunto","This book provides an accessible overview concerning the stochastic numerical methods inheriting long-time dynamical behaviours of finite and infinite-dimensional stochastic Hamiltonian systems. The long-time dynamical behaviours under study involve symplectic structure, invariants, ergodicity and invariant measure. The emphasis is placed on the systematic construction and the probabilistic superiority of stochastic symplectic methods, which preserve the geometric structure of the stochastic flow of stochastic Hamiltonian systems. The problems considered in this book are related to several fascinating research hotspots: numerical analysis, stochastic analysis, ergodic theory, stochastic ordinary and partial differential equations, and rough path theory. This book will appeal to researchers who are interested in these topics."]