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Importance sampling for randomly excited dynamical systems

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References

2016Numerical solution of stochastic differential equations5,001 cited
2017Structural Reliability Analysis and Prediction3,780 cited
2016Simulation and the Monte Carlo Method3,356 cited
2003Stochastic Differential Equations2,978 cited
1981Simulation and the Monte Carlo Method2,402 cited
1978Structural reliability under combined random load sequences2,229 cited
1976Probabilistic Theory of Structural Dynamics1,398 cited
1980Controlled Diffusion Processes1,311 cited
1990Random vibration and statistical linearization995 cited
1990Random vibration and statistical linearization822 cited
1960On Transforming a Certain Class of Stochastic Processes by Absolutely Continuous Substitution of Measures722 cited
1989Importance Sampling for Stochastic Simulations635 cited
1967Probabilistic Structural Dynamics: Advanced Theory and Applications629 cited
1995Fast simulation of rare events in queueing and reliability models546 cited
1983Basic Analysis of Structural Safety530 cited
1995Stochastic Differential Equations

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