Probabilistic inference of reaction rate parameters from summary statistics

DOI10.1080/13647830.2017.1370557OpenAlexW2807477386WikidataQ129756234 ScholiaQ129756234MaRDI QIDQ5032123

Mohammad Khalil, Habib N. Najm

Publication date: 16 February 2022

Published in: Combustion Theory and Modelling (Search for Journal in Brave)

Full work available at URL: https://www.osti.gov/biblio/1465801

zbMATH Keywords

Bayesian inferencereaction ratesuncertainty quantificationshock-tube experimentsmaximum relative entropyArrhenius parameters

Mathematics Subject Classification ID

Parametric inference (62Fxx) Stochastic analysis (60Hxx) Probabilistic methods, stochastic differential equations (65Cxx)

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Uses Software

• SUNDIALS
• CVODE
• BayesDA
• TChem

Cites Work

• SUNDIALS
• Data-free inference of the joint distribution of uncertain model parameters
• Uncertainty propagation using Wiener-Haar expansions
• Multi-resolution analysis of Wiener-type uncertainty propagation schemes
• Padé-Legendre approximants for uncertainty analysis with discontinuous response surfaces
• A characterization theorem for externally Bayesian groups
• Stochastic spectral methods for efficient Bayesian solution of inverse problems
• Combining probability distributions: A critique and an annotated bibliography
• Padé--Jacobi filtering for spectral approximations of discontinuous solutions
• Statistical and computational inverse problems.
• Padé-Legendre interpolants for Gibbs reconstruction
• Data free inference with processed data products
• On the convergence of generalized polynomial chaos expansions
• The Intrinsic Bayes Factor for Model Selection and Prediction
• Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures
• Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics
• Spectral Methods for Uncertainty Quantification
• Accurate Approximations for Posterior Moments and Marginal Densities
• Probability Theory
• Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes
• The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
• Multi‐Resolution‐Analysis Scheme for Uncertainty Quantification in Chemical Systems
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