An adaptive high-order minimum action method

DOI10.1016/j.jcp.2011.08.006zbMath1242.65016OpenAlexW2045776264MaRDI QIDQ422492

Xiaoliang Wan

Publication date: 18 May 2012

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.08.006

zbMATH Keywords

finite element methodnumerical examplesrare eventsdynamical systemspectral elementswhite noiserandom perturbationFreidlin-Wentzell least action principleminimum action methodnon-linear conjugate gradient method

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Ordinary differential equations and systems with randomness (34F05) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

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Cites Work

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• The geometric minimum action method: A least action principle on the space of curves
• Study of the noise-induced transition and the exploration of the phase space for the Kuramoto–Sivashinsky equation using the minimum action method
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• Large fluctuations for a nonlinear heat equation with noise
• Turbulence, Coherent Structures, Dynamical Systems and Symmetry
• Minimum action method for the study of rare events
• A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search
• Spectral/hp Element Methods for Computational Fluid Dynamics
• Fluctuations and Irreversible Processes

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