Efficient strategies for reliability-based optimization involving non-linear, dynamical structures

Equation of State Calculations by Fast Computing Machines

N. Metropolis, Arianna W. Rosenbluth, M. N. Rosenbluth et al. · The Journal of Chemical Physics · 1953 · 36.5K citations

Numerical Analysis, Engineering, Material Simulation +22

The Monte Carlo Method

N. Metropolis, Stanislaw M. Ulam · Journal of the American Statistical Association · 1949 · 5.9K citations

Numerical Analysis, Applied Mathematical Modelling, Integro-differential Equations +13

Estimation of small failure probabilities in high dimensions by subset simulation

Siu‐Kui Au, James L. Beck · Probabilistic Engineering Mechanics · 2001 · 2.3K citations

Reliability Engineering, Small Failure Probabilities, High Dimensions +12

Achieving minimum length scale in topology optimization using nodal design variables and projection functions

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Numerical Analysis, Large-scale Global Optimization, Engineering +25

The Monte Carlo Method

N. Metropolis, Stanislaw M. Ulam · Journal of the American Statistical Association · 1949 · 762 citations

Numerical Analysis, Applied Mathematical Modelling, Integro-differential Equations +13