Data-Informed Method of Distributions for Hyperbolic Conservation Laws

DOI10.1137/19M1260773zbMath1436.35330OpenAlexW3008195311MaRDI QIDQ5220404

F. Boso, Daniel M. Tartakovsky

Publication date: 20 March 2020

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1260773

zbMATH Keywords

uncertainty quantificationtraffic modelingdata driven

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) PDEs with randomness, stochastic partial differential equations (35R60) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (4)

Data-driven discovery of coarse-grained equations ⋮ Information geometry of physics-informed statistical manifolds and its use in data assimilation ⋮ Learning on dynamic statistical manifolds ⋮ Dynamics of Data-driven Ambiguity Sets for Hyperbolic Conservation Laws with Uncertain Inputs

Uses Software

• HE-E1GODF
• FiPy
• TensorFlow
• NUMERICA

Cites Work

• Unnamed Item
• Unnamed Item
• Exact PDF equations and closure approximations for advective-reactive transport
• On sequential data assimilation for scalar macroscopic traffic flow models
• Uncertainty quantification in kinematic-wave models
• From uncertainty propagation in transport equations to kinetic polynomials
• Uncertainty quantification for hyperbolic and kinetic equations
• A dynamical system model of neurofilament transport in axons
• Data assimilation for hyperbolic conservation laws: a Luenberger observer approach based on a kinetic description
• Back and forth nudging algorithm for data assimilation problems
• Stochastic processes and filtering theory
• A well-balanced stochastic Galerkin method for scalar hyperbolic balance laws with random inputs
• The Back and Forth Nudging algorithm for data assimilation problems : theoretical results on transport equations
• Differentially Private Filtering
• A Kinetic Formulation of Multidimensional Scalar Conservation Laws and Related Equations
• Deep Hidden Physics Models: Deep Learning of Nonlinear Partial Differential Equations
• CDF Solutions of Buckley--Leverett Equation with Uncertain Parameters

This page was built for publication: Data-Informed Method of Distributions for Hyperbolic Conservation Laws