Stability of correction procedure via reconstruction with summation-by-parts operators for Burgers' equation using a polynomial chaos approach

DOI10.1051/m2an/2018072zbMath1420.65094arXiv1703.03561OpenAlexW2604525805MaRDI QIDQ5380994

Hendrik Ranocha, Philipp Öffner, Jan Glaubitz

Publication date: 7 June 2019

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.03561

zbMATH Keywords

hyperbolic conservation lawsentropy stabilitysummation-by-partscorrection procedure via reconstructionpolynomial chaos method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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