Improving Accuracy of the Fifth-Order WENO Scheme by Using the Exponential Approximation Space

DOI10.1137/20M1317396zbMath1461.65228arXiv2002.06175OpenAlexW3121002055WikidataQ115525546 ScholiaQ115525546MaRDI QIDQ5147760

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

Publication date: 28 January 2021

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.06175

zbMATH Keywords

hyperbolic conservation lawsWENO schemesmoothness indicatororder of accuracytension parameterexponential polynomial interpolation

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Hyperbolic conservation laws (35L65) 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) Interpolation in approximation theory (41A05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Approximation by polynomials (41A10)

Related Items (5)

Development of a WENO scheme based on radial basis function with an improved convergence order ⋮ Improving the third-order WENO schemes by using exponential polynomial space with a locally optimized shape parameter ⋮ A meshless quasi-interpolation method for solving hyperbolic conservation laws based on the essentially non-oscillatory reconstruction ⋮ High-order semi-Lagrangian WENO schemes based on non-polynomial space for the Vlasov equation ⋮ Non-oscillatory butterfly-type interpolation on triangular meshes

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