Local averaged path integration method approach for nonlinear dynamic systems
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[1] R. Santoro,et al. Path integral solution handled by Fast Gauss Transform , 2009 .
[2] M. Wehner. Numerical Evaluation of Path Integral Solutions to Fokker-Planck Equations with Application to Void Formation. , 1983 .
[3] A. Naess,et al. Response statistics of nonlinear, compliant offshore structures by the path integral solution method , 1993 .
[4] C. Hsu,et al. A Cell Mapping Method for Nonlinear Deterministic and Stochastic Systems—Part I: The Method of Analysis , 1986 .
[5] Lars Onsager,et al. Fluctuations and Irreversible Process. II. Systems with Kinetic Energy , 1953 .
[6] L. Cai,et al. Study of the Duffing-Rayleigh oscillator subject to harmonic and stochastic excitations by path integration , 2006, Appl. Math. Comput..
[7] Yingguang Wang. A path integration algorithm for stochastic structural dynamic systems , 2014, Appl. Math. Comput..
[9] H. Zhu. Non-stationary response of a van der Pol-Duffing oscillator under Gaussian white noise , 2017 .
[10] Jian-Qiao Sun,et al. Random vibration analysis of a non-linear system with dry friction damping by the short-time gaussian cell mapping method , 1995 .
[11] A. Naess,et al. Path Integration Methods for Calculating Response Statistics of Nonlinear Oscillators Driven by α-Stable Lévy Noise , 2001 .
[12] A. Naess,et al. Efficient path integration methods for nonlinear dynamic systems , 2000 .
[13] Kyle E. Niemeyer,et al. Recent progress and challenges in exploiting graphics processors in computational fluid dynamics , 2013, The Journal of Supercomputing.
[14] L. Cai,et al. Path integration of the Duffing-Rayleigh oscillator subject to harmonic and stochastic excitations , 2005, Appl. Math. Comput..
[15] V. Linetsky. The Path Integral Approach to Financial Modeling and Options Pricing , 1998 .
[16] M. Dimentberg. An exact solution to a certain non-linear random vibration problem , 1982 .
[17] A. Naess,et al. Fast and accurate pricing of discretely monitored barrier options by numerical path integration , 2007 .
[18] Xiaole Yue,et al. Transient and steady-state responses in a self-sustained oscillator with harmonic and bounded noise excitations , 2012 .
[19] Panagiotis Alevras,et al. GPU computing for accelerating the numerical Path Integration approach , 2016 .
[20] Y. K. Lin,et al. Numerical path integration of a non-homogeneous Markov process , 2004 .
[21] H. Zhu,et al. Probabilistic solution of non-linear random ship roll motion by path integration , 2016 .
[22] S. Narayanan,et al. Numerical solutions of Fokker–Planck equation of nonlinear systems subjected to random and harmonic excitations , 2012 .
[23] A. Pirrotta,et al. First-passage problem for nonlinear systems under Lévy white noise through path integral method , 2016 .
[24] Arvid Naess,et al. Response Statistics of Nonlinear Dynamic Systems by Path Integration , 1992 .
[25] W. F. Wu,et al. CUMULANT-NEGLECT CLOSURE FOR NON-LINEAR OSCILLATORS UNDER RANDOM PARAMETRIC AND EXTERNAL EXCITATIONS , 1984 .
[26] G. Cai,et al. A new path integration procedure based on Gauss-Legendre scheme , 1997 .
[27] Pol D. Spanos,et al. Nonstationary Stochastic Response Determination of Nonlinear Systems: A Wiener Path Integral Formalism , 2014 .
[28] R. Santoro,et al. Path integral solution for non-linear system enforced by Poisson White Noise , 2008 .
[29] Wei Xu,et al. Numerical meshfree path integration method for non-linear dynamic systems , 2008, Appl. Math. Comput..