Abstract We study hyperbolic and incompletely parabolic systems with stochastic boundary and initial data. Estimates of the variance of the solution are presented both analytically and numerically. It is shown that one can reduce the variance for a given input, with a specific choice of boundary condition. The technique is applied to the Maxwell, Euler, and Navier–Stokes equations. Numerical calculations corroborate the theoretical conclusions.
Robust Design of Initial Boundary Value Problems
2018-07-21
16 pages
Article/Chapter (Book)
Electronic Resource
English
Uncertainty quantification , Hyperbolic systems , Incompletely parabolic systems , Initial boundary value problems , Stochastic data , Variance reduction , Robust design Engineering , Vibration, Dynamical Systems, Control , Engineering Design , Numerical and Computational Physics, Simulation , Acoustics
Differential quadrature method: Application to initial-boundary-value problems
Online Contents | 1998
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