Discontinuous Galerkin methods with optimal \(L^2\) accuracy for one dimensional linear PDEs with high order spatial derivatives

DOI10.1007/s10915-018-0788-5zbMath1457.65049OpenAlexW2884477368WikidataQ114225630 ScholiaQ114225630MaRDI QIDQ2420685

Pei Fu, Fengyan Li, Yingda Cheng, Yan Xu

Publication date: 6 June 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-018-0788-5

zbMATH Keywords

heat equationdiscontinuous Galerkin methodSchrödinger equationerror estimatenumerical fluxhigh order wave equation

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) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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