SZodixStudyAcademic Library
ShelvesOpen access
Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated
A nonintrusive stochastic multiscale solver
11 references·6 citing·29 second hop
A nonintrusive stochastic multiscale solver (2011)A nonintrusive stochastic multiscale solv…Recent Advances in Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Analysis and Design (2009)Recent Advances in Non-Intrus…Comparison of Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Quantification (2009)Comparison of Non-Intrusive P…An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations (2009)An adaptive hierarchical spar…A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)A Sparse Grid Stochastic Coll…Sparse grid collocation schemes for stochastic natural convection problems (2007)Sparse grid collocation schem…Efficient Collocational Approach for Parametric Uncertainty Analysis (2007)Efficient Collocational Appro…Stochastic Fluid Mechanics via Polynomial Chaos (2003)Stochastic Fluid Mechanics vi…A Stochastic Collocation Algorithm for Uncertainty Analysis (2003)A Stochastic Collocation Algo…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Small sample sensitivity analysis techniques for computer models.with an application to risk assessment (1980)Small sample sensitivity anal…Multi-scale Simulation of Complex Systems: A Perspective of Integrating Knowledge and Data (2024)Multi-scale Simulation of Com…Multiscale Uncertainty Quantification with Arbitrary Polynomial Chaos (2019)Multiscale Uncertainty Quanti…A PCE-based multiscale framework for the characterization of uncertainties in complex systems (2017)A PCE-based multiscale framew…Uncertain static plane stress analysis with interval fields (2016)Uncertain static plane stress…Propagation of material and surface profile uncertainties on MEMS micro‐resonators using a stochastic second‐order computational multi‐scale approach (2016)Propagation of material and s…A stochastic computational multiscale approach; Application to MEMS resonators (2015)A stochastic computational mu…Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)A least-squares approximation of partial differential equations with high-dimensional random inputs (2009)Uncertainty quantification in chemical systems (2009)Coherence motivated sampling and convergence analysis of least squares polynomial Chaos regression (2015)Structural reliability under combined random load sequences (1978)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)Mixed aleatory-epistemic uncertainty quantification with stochastic expansions and optimization-based interval estimation (2011)Dakota, a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis version 6.0 theory manual (2014)First order reliability method for time-variant problems using series expansions (2014)Global sensitivity analysis using polynomial chaos expansions (2007)Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)Uncertainty and sensitivity analysis techniques for use in performance assessment for radioactive waste disposal (1993)Optimal Latin-hypercube designs for computer experiments (1994)Sensitivity Analysis for Chemical Models (2005)Stochastic Differential Equations: An Introduction with Applications. (1987)A non-adapted sparse approximation of PDEs with stochastic inputs (2011)Brownian Motion and Stochastic Calculus (2007)An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations (2010)Evaluation of failure probability via surrogate models (2010)A guide to uncertainty quantification and sensitivity analysis for cardiovascular applications (2015)Numerical solution of stochastic differential equations (2016)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)Efficient computation of global sensitivity indices using sparse polynomial chaos expansions (2010)Stochastic finite element methods for partial differential equations with random input data (2014)Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics (2008)DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. Version 5.0, user's manual. (2010)Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization (2018)
this work references cited by second hop

References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2008A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data942 cited
  • 1980Small sample sensitivity analysis techniques for computer models.with an application to risk assessment837 cited
  • 2009An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations447 cited
  • 2007Sparse grid collocation schemes for stochastic natural convection problems401 cited
  • 2009Recent Advances in Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Analysis and Design371 cited
  • 2009Comparison of Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Quantification348 cited
  • 2007Efficient Collocational Approach for Parametric Uncertainty Analysis309 cited
  • 2003A Stochastic Collocation Algorithm for Uncertainty Analysis148 cited
  • 2003Stochastic Fluid Mechanics via Polynomial Chaos52 cited

Cited by

  • 2024Multi-scale Simulation of Complex Systems: A Perspective of Integrating Knowledge and Data45 cited
  • 2016Uncertain static plane stress analysis with interval fields44 cited
  • 2015

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

A stochastic computational multiscale approach; Application to MEMS resonators
37 cited
  • 2017A PCE-based multiscale framework for the characterization of uncertainties in complex systems27 cited
  • 2019Multiscale Uncertainty Quantification with Arbitrary Polynomial Chaos21 cited
  • 2016Propagation of material and surface profile uncertainties on MEMS micro‐resonators using a stochastic second‐order computational multi‐scale approach13 cited