Supersensitivity due to uncertain boundary conditions

DOI10.1002/nme.1152zbMath1075.76623OpenAlexW2092852204MaRDI QIDQ5698802

Dongbin Xiu, George Em. Karniadakis

Publication date: 20 October 2005

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1152

zbMATH Keywords

generalized polynomial chaosstochastic Burgers' equationrandom boundary conditionssupersensitivity

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Finite element methods applied to problems in fluid mechanics (76M10) Statistical solutions of Navier-Stokes and related equations (76D06)

Related Items

Transfer learning based multi-fidelity physics informed deep neural network, Applying the stochastic Galerkin method to epidemic models with uncertainty in the parameters, Generalized Probability Density Function of the Solution to the Random Burgers-Riemann Problem, Multifidelity importance sampling, Evaluation of failure probability via surrogate models, Numerical studies of three-dimensional stochastic Darcy's equation and stochastic advection-diffusion-dispersion equation, Theory and methods for random differential equations: a survey, Two-dimensional probability distribution of the solution to the random Burgers-Riemann problem, A Legendre–Galerkin Chebyshev collocation method for the Burgers equation with a random perturbation on boundary condition, Finite-dimensional probability distributions in the random Burgers-Riemann problem, Modeling multibody systems with uncertainties. I: Theoretical and computational aspects, Stochastic Galerkin methods for elliptic interface problems with random input, Hybrid spline difference method for the Burgers' equation, Hyperbolic stochastic Galerkin formulation for the \(p\)-system, Data assimilation for models with parametric uncertainty, Fast structured Jacobi-Jacobi transforms, Uncertainty quantification for the random viscous Burgers' partial differential equation by using the differential transform method, Polynomial chaos level points method for one-dimensional uncertain steep problems, Allocation Strategies for High Fidelity Models in the Multifidelity Regime, Numerical analysis of the Burgers' equation in the presence of uncertainty, Numerical solutions of stochastic PDEs driven by arbitrary type of noise

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stochastic processes and orthogonal polynomials
• On the motion of viscous shocks and the supersensitivity of their steady- state limits
• Viscous Shock Motion for Advection‐Diffusion Equations
• Approximate Calculation of the Kolmogorov-Obukhov Constant