Citation map · Study

Systematic matrix formulation for efficient computational path integration

14 references·1 citing·42 second hop

this work references cited by second hop

References

1976STOCHASTIC DIFFERENTIAL EQUATIONS: THEORY AND APPLICATIONS1,088 cited
2000Efficient path integration methods for nonlinear dynamic systems250 cited
1993Response statistics of nonlinear, compliant offshore structures by the path integral solution method187 cited
2014Nonstationary Stochastic Response Determination of Nonlinear Systems: A Wiener Path Integral Formalism94 cited
2015An Efficient Wiener Path Integral Technique Formulation for Stochastic Response Determination of Nonlinear MDOF Systems86 cited
1986First-passage time for randomly excited non-linear oscillators69 cited
2020Addressing the curse of dimensionality in stochastic dynamics: a Wiener path integral variational formulation with free boundaries54 cited
2018Sparse representations and compressive sampling for enhancing the computational efficiency of the Wiener path integral technique51 cited
2016GPU computing for accelerating the numerical Path Integration approach43 cited
2020Path Integral Methods for the Probabilistic Analysis of Nonlinear Systems Under a White-Noise Process30 cited
2020Stochastic Response Analysis and Reliability-Based Design Optimization of Nonlinear Electromechanical Energy Harvesters With Fractional Derivative Elements29 cited
2020Stochastic response determination of nonlinear structural systems with singular diffusion matrices: A Wiener path integral variational formulation with constraints27 cited
2019Nonlinear 6D response statistics of a rotating shaft subjected to colored noise by path integration on GPU

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

References

Cited by