A New Fifth-Order Trigonometric WENO Scheme for Hyperbolic Conservation Laws and Highly Oscillatory Problems (Q5156697)

scientific article; zbMATH DE number 7408414

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English	A New Fifth-Order Trigonometric WENO Scheme for Hyperbolic Conservation Laws and Highly Oscillatory Problems	scientific article; zbMATH DE number 7408414

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instance of

scholarly article

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title

A New Fifth-Order Trigonometric WENO Scheme for Hyperbolic Conservation Laws and Highly Oscillatory Problems (English)

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Advances in Applied Mathematics and Mechanics

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publication date

11 October 2021

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zbMATH Keywords

trigonometric polynomial reconstruction

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hyperbolic conservation laws

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highly oscillatory problem

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WENO scheme

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MaRDI profile type

MaRDI publication profile

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cites work

An efficient class of WENO schemes with adaptive order

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Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy

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Zur trigonometrischen Interpolation

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An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws

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A central WENO scheme for solving hyperbolic conservation laws on non-uniform meshes

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High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws

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Cool WENO schemes

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On the accuracy of WENO and CWENO reconstructions of third order on nonuniform meshes

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Accuracy of the weighted essentially non-oscillatory conservative finite difference schemes

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Central Weighted ENO Schemes for Hyperbolic Conservation Laws on Fixed and Moving Unstructured Meshes

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Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems

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A family of high-order targeted ENO schemes for compressible-fluid simulations

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Sixth-order Weighted Essentially Nonoscillatory Schemes Based on Exponential Polynomials

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Modified Essentially Nonoscillatory Schemes Based on Exponential Polynomial Interpolation for Hyperbolic Conservation Laws

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High resolution schemes for hyperbolic conservation laws

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Uniformly High-Order Accurate Nonoscillatory Schemes. I

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Weighted essentially non-oscillatory schemes on triangular meshes

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Efficient implementation of weighted ENO schemes

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On the Full and Global Accuracy of a Compact Third Order WENO Scheme

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Central WENO schemes for hyperbolic systems of conservation laws

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Compact Central WENO Schemes for Multidimensional Conservation Laws

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Weighted essentially non-oscillatory schemes

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A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids

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A recurrence formula for generalized divided differences and some applications

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Newton‐ und Hermite‐Interpolation mit Čebyšev‐Systemen

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The general Neville-Aitken-algorithm and some applications

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The general recurrence relation for divided differences and the general Newton-interpolation-algorithm. With applications to trigonometric interpolation

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On a third order CWENO boundary treatment with application to networks of hyperbolic conservation laws

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Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One-dimensional case.

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Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters

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Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method. II: Two dimensional case

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Adaptive mesh refinement for hyperbolic systems based on third-order compact WENO reconstruction

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High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems

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Efficient implementation of essentially nonoscillatory shock-capturing schemes

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Finite-volume WENO schemes for three-dimensional conservation laws

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The numerical simulation of two-dimensional fluid flow with strong shocks

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Discontinuous Galerkin method based on non-polynomial approximation spaces

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Q5268604

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Trigonometric WENO Schemes for Hyperbolic Conservation Laws and Highly Oscillatory Problems

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WENO schemes and their application as limiters for RKDG methods based on trigonometric approximation spaces

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A new fifth order finite difference WENO scheme for solving hyperbolic conservation laws

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A new type of finite volume WENO schemes for hyperbolic conservation laws

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Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes

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full work available at URL

https://doi.org/10.4208/aamm.oa-2018-0221

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Identifiers

zbMATH Open document ID

1488.65297

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Mathematics Subject Classification ID

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10.4208/AAMM.OA-2018-0221

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Sitelinks

Mathematics(1 entry)

mardi Publication:5156697