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SIAM Journal on Scientific Computing

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Volume 26, Issue 2, pp. vii-735

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Special Issue: Uncertainty Quantification
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Special Issue on Uncertainty Quantification

Roger G. Ghanem and Steven F. Wojtkiewicz

p. vii

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A Posteriori Error Estimation and Global Error Control for Ordinary Differential Equations by the Adjoint Method

Yang Cao and Linda Petzold

pp. 359-374

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Natural Convection in a Closed Cavity under Stochastic Non-Boussinesq Conditions

Olivier Le Maître, M. T. Reagan, B. Debusschere, H. N. Najm, R. G. Ghanem, and O. M. Knio

pp. 375-394

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Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure

Christian Soize and Roger Ghanem

pp. 395-410

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Quantifying Uncertainty for Non-Gaussian Ensembles in Complex Systems

Rafail V. Abramov and Andrew J. Majda

pp. 411-447

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Combining Field Data and Computer Simulations for Calibration and Prediction

Dave Higdon, Marc Kennedy, James C. Cavendish, John A. Cafeo, and Robert D. Ryne

pp. 448-466

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Probabilistic Formulations for Transferring Inferences from Mathematical Models to Physical Systems

Michael Goldstein and Jonathan Rougier

pp. 467-487

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Computation of the Entropy of Polynomials Orthogonal on an Interval

V. Buyarov, J. S. Dehesa, A. Martínez-Finkelshtein, and J. Sánchez-Lara

pp. 488-509

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Sensitivity Analysis of Turbulence Models Using Automatic Differentiation

Christian H. Bischof, H. Martin Bücker, and Arno Rasch

pp. 510-522

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Including Covariances in Calibration to Obtain Better Measurement Uncertainty Estimates

Oscar Chinellato, Erwin Achermann, and Oliver Bröker

pp. 523-536

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The Impact of Uncertain Centrifuge Capillary Pressure on Reservoir Simulation

Sam Subbey, Mike Christie, and Malcolm Sambridge

pp. 537-557

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A Comparative Study on Uncertainty Quantification for Flow in Randomly Heterogeneous Media Using Monte Carlo Simulations and Conventional and KL-Based Moment-Equation Approaches

Zhiming Lu and Dongxiao Zhang

pp. 558-577

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Stochastic Solutions for the Two-Dimensional Advection-Diffusion Equation

Xiaoliang Wan, Dongbin Xiu, and George Em Karniadakis

pp. 578-590

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Parameter Estimation Using Interval Computations

Laurent Granvilliers, Jorge Cruz, and Pedro Barahona

pp. 591-612

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Higher-Dimensional Integration with Gaussian Weight for Applications in Probabilistic Design

James Lu and David L. Darmofal

pp. 613-624

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Effective Properties of Random Composites

Daniel M. Tartakovsky and Alberto Guadagnini

pp. 625-635

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Computing Bounds for Linear Functionals of Exact Weak Solutions to the Advection-Diffusion-Reaction Equation

A. M. Sauer-Budge and J. Peraire

pp. 636-652

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Consistent Uncertainty Reduction in Modeling Nonlinear Systems

Jacob Barhen, Vladimir Protopopescu, and David B. Reister

pp. 653-665

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Statistical Riemann Problems and a Composition Law for Errors in Numerical Solutions of Shock Physics Problems

James Glimm, John W. Grove, Yonghee Kang, Taewon Lee, Xiaolin Li, David H. Sharp, Yan Yu, Kenny Ye, and Ming Zhao

pp. 666-697

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Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes

Bert J. Debusschere, Habib N. Najm, Philippe P. Pébay, Omar M. Knio, Roger G. Ghanem, and Olivier P. Le Maître

pp. 698-719

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Adaptive Generalized Polynomial Chaos for Nonlinear Random Oscillators

D. Lucor and G. E. Karniadakis

pp. 720-735

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