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Reliability of computational science
7 references·10 citing·48 second hop
Reliability of computational science (2007)Reliability of computational scienceProbabilistic Techniques in Exposure Assessment (2016)Probabilistic Techniques in E…Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation (2004)Solving elliptic boundary val…Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Galerkin Finite Element Appro…SOLVING STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS BASED ON THE EXPERIMENTAL DATA (2003)SOLVING STOCHASTIC PARTIAL DI…Verification and Validation in Computational Science and Engineering (1998)Verification and Validation i…Validation in Simulation: Various Positions in the Philosophy of Science (1998)Validation in Simulation: Var…Verification of Computer Simulation Models (1967)Verification of Computer Simu…Stochastic analysis and validation under aleatory and epistemic uncertainties (2020)Stochastic analysis and valid…Prediction assessment and validation of multiscale models for additively manufactured lattice structures under uncertainty (2019)Prediction assessment and val…A fuzzy-stochastic multiscale model for fiber composites (2016)A fuzzy-stochastic multiscale…Optimal uncertainty quantification for legacy data observations of Lipschitz functions (2013)Optimal uncertainty quantific…Static Frame Model Validation with Small Samples Solution Using Improved Kernel Density Estimation and Confidence Level Method (2012)Static Frame Model Validation…ORTHOGONAL BASES FOR POLYNOMIAL REGRESSION WITH DERIVATIVE INFORMATION IN UNCERTAINTY QUANTIFICATION (2011)ORTHOGONAL BASES FOR POLYNOMI…INTERNATIONAL ASSESSMENT OF RESEARCH AND DEVELOPMENT IN SIMULATION-BASED ENGINEERING AND SCIENCE (2011)INTERNATIONAL ASSESSMENT OF R…Uncertainty quantification via codimension‐one partitioning (2010)Uncertainty quantification vi…Spectral Finite-Element Methods for Parametric Constrained Optimization Problems (2009)Spectral Finite-Element Metho…New Bayesian Updating Methodology for Model Validation and Robust Predictions Based on Data from Hierarchical Subsystem Tests (2008)New Bayesian Updating Methodo…Random vibration and statistical linearization (1990)Stochastic Finite Elements: A Spectral Approach (1991)Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations (2004)Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics (2008)An Introduction to Computational Stochastic PDEs (2014)Fuzzy sets (1965)Fuzzy sets (1996)Karhunen–Loève approximation of random fields by generalized fast multipole methods (2006)Stochastic model reduction for chaos representations (2007)The Logic of Scientific Discovery (2013)Stochastic finite element methods for partial differential equations with random input data (2014)Solution of stochastic partial differential equations using Galerkin finite element techniques (2001)A Review of Recent Developments in the Numerical Solution of Stochastic Partial Differential Equations (Stochastic Finite Elements) (2003)Stochastic Differential Equations—An Introduction With Applications (2006)A probabilistic construction of model validation (2007)Error Analysis of a Stochastic Collocation Method for Parabolic Partial Differential Equations with Random Input Data (2012)Optimal design of experiments (1993)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)Optimal Design of Experiments (2006)Multi-Fidelity Sparse Polynomial Chaos Surrogate Models for Flutter Database Generation (2019)Multifidelity Sparse Polynomial Chaos Surrogate Models Applied to Flutter Databases (2019)Sensitivity-enhanced generalized polynomial chaos for efficient uncertainty quantification (2023)Testability and Meaning (1936)The Logic of Scientific Discovery. 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this work references cited by second hop

References

  • 1998Verification and Validation in Computational Science and Engineering2,153 cited
  • 2004Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations869 cited
  • 1967Verification of Computer Simulation Models423 cited
  • 2004Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation345 cited
  • 1998Validation in Simulation: Various Positions in the Philosophy of Science210 cited
  • 2016Probabilistic Techniques in Exposure Assessment190 cited
  • 2003SOLVING STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS BASED ON THE EXPERIMENTAL DATA70 cited

Cited by

  • 2011INTERNATIONAL ASSESSMENT OF RESEARCH AND DEVELOPMENT IN SIMULATION-BASED ENGINEERING AND SCIENCE55 cited
  • 2020Stochastic analysis and validation under aleatory and epistemic uncertainties35 cited
  • 2011ORTHOGONAL BASES FOR POLYNOMIAL REGRESSION WITH DERIVATIVE INFORMATION IN UNCERTAINTY QUANTIFICATION27 cited
  • 2012Static Frame Model Validation with Small Samples Solution Using Improved Kernel Density Estimation and Confidence Level Method16 cited
  • 2008New Bayesian Updating Methodology for Model Validation and Robust Predictions Based on Data from Hierarchical Subsystem Tests15 cited
  • 2016A fuzzy-stochastic multiscale model for fiber composites15 cited

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2013
Optimal uncertainty quantification for legacy data observations of Lipschitz functions
14 cited
  • 2010Uncertainty quantification via codimension‐one partitioning14 cited
  • 2019Prediction assessment and validation of multiscale models for additively manufactured lattice structures under uncertainty13 cited
  • 2009Spectral Finite-Element Methods for Parametric Constrained Optimization Problems10 cited