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Numerical solution of the Fokker–Planck equation using physics-based mixture models
12 references·2 citing·38 second hop
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non-linearities (1990)Differential moment equations…Probabilistic Theory of Structural Dynamics (1976)Probabilistic Theory of Struc…Method for Random Vibration of Hysteretic Systems (1976)Method for Random Vibration o…Probabilistic Structural Dynamics: Advanced Theory and Applications (1967)Probabilistic Structural Dyna…Stochastic dynamic response analysis based on reduced dimension probability evolution equation under additive Gaussian white noise (2025)Stochastic dynamic response a…DR-PDEE-based probabilistic response analysis for high-dimensional nonlinear dynamical systems under general non-white and non-stationary random excitations via constructing the auxiliary diffusion process (2025)DR-PDEE-based probabilistic r…An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators (2011)Probability density evolution method: Background, significance and recent developments (2015)Numerical solution of stochastic differential equations 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References

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  • 2015Multifidelity importance sampling130 cited
  • 2003Importance sampling for randomly excited dynamical systems50 cited
  • 1990Differential moment equations of FE modelled structures with geometrical non-linearities28 cited

Cited by

  • 2025DR-PDEE-based probabilistic response analysis for high-dimensional nonlinear dynamical systems under general non-white and non-stationary random excitations via constructing the auxiliary diffusion process15 cited
  • 2025Stochastic dynamic response analysis based on reduced dimension probability evolution equation under additive Gaussian white noise

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13 cited