Numerical meshfree path integration method for non-linear dynamic systems

DOI10.1016/j.amc.2007.07.088zbMath1135.65408OpenAlexW2059613195MaRDI QIDQ2479206

Li Cai, Wei Xu, Wenxian Xie

Publication date: 26 March 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.07.088

zbMATH Keywords

performancenumerical examplesDuffing oscillatorpiecewise linear interpolationnonlinear dynamic systemsmeshfree methodpath integration methodadaptive least squaresCHEN systemDuffing-Rayleigh oscillator

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (3)

Numerical path integration method based on bubble grids for nonlinear dynamical systems ⋮ Local averaged path integration method approach for nonlinear dynamic systems ⋮ An improved path integration method for nonlinear systems under Poisson white noise excitation

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
• Approximate probability distributions for stochastic systems: Maximum entropy method
• 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
• LOCAL BIFURCATIONS OF THE CHEN SYSTEM
• BRIDGE THE GAP BETWEEN THE LORENZ SYSTEM AND THE CHEN SYSTEM

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