On the Use of Reduced Basis Methods to Accelerate and Stabilize the Parareal Method

DOI10.1007/978-3-319-02090-7_7zbMath1315.65079OpenAlexW2226097859WikidataQ56995965 ScholiaQ56995965MaRDI QIDQ4983101

Feng Chen, Xueyu Zhu, Jan S. Hesthaven

Publication date: 14 April 2015

Published in: Reduced Order Methods for Modeling and Computational Reduction (Search for Journal in Brave)

Full work available at URL: https://infoscience.epfl.ch/record/190666/files/CECAM2013.pdf

zbMATH Keywords

stabilitycomputational complexityconvergenceevolution equationKuramoto-Sivashinsky equationsemidiscretizationwave equationsreduced basis methodKorteweg-de Vries equationAllen-Cahn equationlinear advection equationsparareal methodempirical interpolation methodsviscous Burger's equationmulti-level integration method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) First-order hyperbolic equations (35L02)

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