Quantification of uncertainty : improving efficiency and technology : QUIET selected contributions /: improving efficiency and technology : QUIET selected contributions. (2020)

• Record Type: Book
• Other Titles: QUIET 2017
• Further Information: Note: Marta D'Elia, Max Gunzburger, Gianluigi Rozza, editors.
• Other Names: D'Elia, Marta; Gunzburger, Max D; Rozza, Gianluigi; International Workshop "Quantification of Uncertainty: Improving Efficiency and Technology"; International School for Advanced Studies (Trieste, Italy)
• Contents: Intro -- Preface -- Contents -- About the Editors -- Effect of Load Path on Parameter Identification for Plasticity Models Using Bayesian Methods -- 1 Introduction -- 2 Model Problem -- 3 Bayesian Identification -- 4 Numerical Results -- 4.1 Discussion of the Results -- 5 Summary -- References -- A Compressive Spectral Collocation Method for the Diffusion Equation Under the Restricted Isometry Property -- 1 Introduction -- 1.1 Main Contributions -- 1.2 Literature Review -- 1.3 Outline of the Paper -- 2 Elements of Compressive Sensing -- 2.1 Compressive Sensing and Greedy Recovery 2.2 Recovery Guarantees Based on the Restricted Isometry Property -- 3 Compressive Spectral Collocation -- 3.1 The Spectral Basis and the Collocation Grid -- 3.2 The Compressive Approach -- 4 Theoretical Analysis -- 4.1 Restricted Isometry Property -- 4.2 Recovery Guarantees (Discussion) -- 5 Numerical Experiments -- 5.1 Recovery of Sparse Solutions -- 5.2 Recovery of Compressible Solutions -- 6 Conclusions -- References -- Surrogate-Based Ensemble Grouping Strategies for Embedded Sampling-Based Uncertainty Quantification -- 1 Introduction -- 2 Preliminaries 2.1 PDEs with Random Input Parameters -- 2.2 Numerical Solution via Stochastic Collocation Methods -- 2.3 Numerical Solution via Ensembles -- 3 Grouping Strategies -- 3.1 Surrogate-Based Grouping -- 3.2 Parameter-Based Grouping -- 4 Numerical Tests -- 4.1 Anisotropic Diffusion -- 4.2 Anisotropic Advection-Diffusion -- 5 Conclusion -- References -- Conservative Model Order Reduction for Fluid Flow -- 1 Introduction -- 2 Model Order Reduction for Time Dependent Problems -- 3 Skew Symmetric and Centered Schemes for Fluid Flows -- 3.1 Conservation Laws -- 3.2 Incompressible Fluid 3.3 Compressible Fluid -- 3.4 Time Integration -- 4 Model Reduction of Fluid Flow -- 4.1 Assembling Nonlinear Terms and Time Integration -- 5 Numerical Experiments -- 5.1 Vortex Merging -- 5.2 2D Kelvin-Helmholtz Instability -- 5.3 1D Shock Problem -- 5.4 Continuous Variable Resonance Combustor -- 6 Conclusions -- References -- Piecewise Polynomial Approximation of Probability Density Functions with Application to Uncertainty Quantification for Stochastic PDEs -- 1 Introduction -- 2 Piecewise-Linear Polynomial Approximations of PDFs -- 2.1 The Piecewise-Linear Approximation of a PDF 2.2 Numerical Illustrations -- 3 Validation Through Comparisons with Known PDFs -- 3.1 A Smooth PDF with Known Support -- 3.2 A Smooth PDF with Unknown Support -- 3.3 A Non-smooth PDF -- 3.4 Bivariate Mixed PDF -- 4 Application to an Unknown PDFs Associated with a Stochastic PDE -- 5 Concluding Remarks -- References -- Analysis of Probabilistic and Parametric Reduced Order Models -- 1 Introduction -- 2 Parametric and Stochastic Models -- 3 Algebras of Random Variables -- 3.1 Specifying the Algebra -- 3.2 States and the Expectation Functional -- 3.3 More Examples
• Publisher Details: Cham : Springer
• Publication Date: 2020
• Extent: 1 online resource
• Subjects: 519.5/4; Uncertainty (Information theory) -- Mathematical models -- Congresses; Differential equations, Partial -- Congresses; Electronic books; Electronic books
• Languages: English
• ISBNs: 9783030487218; 3030487210
• Related ISBNs: 3030487202; 9783030487201
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
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