Analysis of spectral volume methods for 1D linear scalar hyperbolic equations

DOI10.1007/s10915-021-01715-5zbMath1481.65206OpenAlexW4200498890WikidataQ115603755 ScholiaQ115603755MaRDI QIDQ2063216

Waixiang Cao, Qingsong Zou

Publication date: 10 January 2022

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

Full work available at URL: https://doi.org/10.1007/s10915-021-01715-5

zbMATH Keywords

error estimatessuperconvergence\(L^2\) stabilityspectral volume methods

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Linear first-order PDEs (35F05) First-order hyperbolic equations (35L02) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (2)

Any order spectral volume methods for diffusion equations using the local discontinuous Galerkin formulation ⋮ Unified analysis of any order spectral volume methods for diffusion equations

Cites Work

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