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Uncertainty Quantification in MD Simulations. Part I: Forward Propagation
4 references·16 citing·36 second hop
Uncertainty Quantification in MD Simulations. 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this work references cited by second hop

References

  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2002A Stochastic Projection Method for Fluid Flow503 cited
  • 2003Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection333 cited
  • 2006On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data191 cited

Cited by

  • 2016Probabilistic Analysis and Design of HCP Nanowires: An Efficient Surrogate Based Molecular Dynamics Simulation Approach47 cited
  • 2020Recent progress of uncertainty quantification in small-scale materials science38 cited
  • 2015Constructing Surrogate Models of Complex Systems with Enhanced Sparsity: Quantifying the Influence of Conformational Uncertainty in Biomolecular Solvation29 cited
  • 2016Error correction in multi-fidelity molecular dynamics simulations using functional uncertainty quantification25 cited
  • 2015A Stochastic Galerkin Method for Hamilton--Jacobi Equations with Uncertainty24 cited
  • 2020Uncertainty quantification in materials modeling23 cited
  • 2016Reliable Molecular Dynamics: Uncertainty quantification using interval analysis in molecular dynamics simulation23 cited
  • 2016Systematic parameter inference in stochastic mesoscopic modeling22 cited
  • 2014PC analysis of stochastic differential equations driven by Wiener noise22 cited

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  • 2017Nonintrusive Polynomial Chaos Expansions for Sensitivity Analysis in Stochastic Differential Equations20 cited
  • 2020Uncertainty Quantification in Atomistic Modeling of Metals and Its Effect on Mesoscale and Continuum Modeling: A Review18 cited
  • 2013Preconditioned Bayesian Regression for Stochastic Chemical Kinetics18 cited
  • 2016Global sensitivity analysis in stochastic simulators of uncertain reaction networks14 cited
  • 2018UNCERTAINTY QUANTIFICATION FOR MOLECULAR DYNAMICS14 cited
  • 2026Uncertainty Quantification for In Silico Chemistry13 cited
  • 2024Global ranking of the sensitivity of interaction potential contributions within classical molecular dynamics force fields13 cited