Construction of an improved third-order WENO scheme with a new smoothness indicator

DOI10.1007/s10915-020-01164-6zbMath1434.65116OpenAlexW3008436305MaRDI QIDQ2302412

Hyoseon Yang, Chang Ho Kim, Jungho Yoon, Youngsoo Ha

Publication date: 26 February 2020

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

Full work available at URL: https://doi.org/10.1007/s10915-020-01164-6

zbMATH Keywords

hyperbolic conservation lawsapproximation orderdiscontinuityWENO schemesmoothness indicatorexponential vanishing moment

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (6)

Improving the third-order WENO schemes by using exponential polynomial space with a locally optimized shape parameter ⋮ A new family of downwind-limited, scale-invariant WENO schemes with optimal accuracy ⋮ Analysis of spectral properties of WENO schemes in smooth regions ⋮ Order enhanced finite volume methods through non-polynomial approximation ⋮ A unified framework for non-linear reconstruction schemes in a compact stencil. I: Beyond second order ⋮ A third-order WENO scheme based on exponential polynomials for Hamilton-Jacobi equations

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