Numerical path integration method based on bubble grids for nonlinear dynamical systems

DOI10.1016/j.apm.2012.04.014zbMath1352.65016OpenAlexW2007019632MaRDI QIDQ350493

Wenxian Xie, Li Cai, Yu-Feng Nie, Wei-Wei Zhang

Publication date: 7 December 2016

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2012.04.014

zbMATH Keywords

nonlinear dynamical systemsbubble gridspath integration method

Mathematics Subject Classification ID

Image analysis in multivariate analysis (62H35) Numerical solutions to stochastic differential and integral equations (65C30)

Related Items (2)

Local averaged path integration method approach for nonlinear dynamic systems ⋮ Unnamed Item

Cites Work

• Numerical path integration of a non-homogeneous Markov process
• The Fokker-Planck equation. Methods of solution and applications.
• A new path integration procedure based on Gauss-Legendre scheme
• Stationary and non-stationary random vibration of oscillators with bilinear hysteresis
• Numerical meshfree path integration method for non-linear dynamic systems
• Study of the Duffing-Rayleigh oscillator subject to harmonic and stochastic excitations by path integration
• Path integration of the Duffing-Rayleigh oscillator subject to harmonic and stochastic excita\-tions
• Computations of shallow water equations with high-order central-upwind schemes on triangular meshes
• Natural Continuous Extensions of Runge-Kutta Methods

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