Asymptotic-Numerical Study of Supersensitivity for Generalized Burgers' Equations

DOI10.1137/S1064827598342201zbMath0961.35139arXivmath/9908051OpenAlexW2077891170MaRDI QIDQ4509986

Hans G. Kaper, Marc Garbey

Publication date: 19 October 2000

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

Full work available at URL: https://arxiv.org/abs/math/9908051

zbMATH Keywords

domain decompositionBurgers' equationasymptotic analysistransition layersviscous conservation lawssupersensitivity

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Singular perturbations in context of PDEs (35B25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (6)

Burgers equation with no-flux boundary conditions and its application for complete fluid separation ⋮ The impact of finite precision arithmetic and sensitivity on the numerical solution of partial differential equations ⋮ Two-dimensional probability distribution of the solution to the random Burgers-Riemann problem ⋮ Transition to turbulence, small disturbances, and sensitivity analysis. I: A motivating problem ⋮ Parallel algorithms with local Fourier basis ⋮ Sensitivity analysis approach for reduced-order approximations of optimal control problems governed by Burgers equation

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