Convergence Analysis of a Finite Element Approximation of Minimum Action Methods

DOI10.1137/17M1141679zbMath1450.65130arXiv1710.03471OpenAlexW2952126883MaRDI QIDQ4565363

Xiaoliang Wan, Hai-jun Yu, Jiayu Zhai

Publication date: 12 June 2018

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.03471

zbMATH Keywords

convergence analysisphase transitionlarge deviation principleminimum action methodnongradient system

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Partial functional-differential equations (35R10) Large deviations (60F10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical nonlinear stabilities in dynamical systems (65P40)

Related Items (8)

On dynamics of the maximum likelihood states in nonequilibrium systems ⋮ Data-driven method to learn the most probable transition pathway and stochastic differential equation ⋮ The most likely transition path for a class of distribution-dependent stochastic systems ⋮ Quasi-potential calculation and minimum action method for limit cycle ⋮ Gamma-Limit of the Onsager--Machlup Functional on the Space of Curves ⋮ The Onsager–Machlup function as Lagrangian for the most probable path of a jump-diffusion process ⋮ Transition pathways for a class of high dimensional stochastic dynamical systems with Lévy noise ⋮ A Minimum Action Method for Dynamical Systems with Constant Time Delays

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