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Order enhanced finite volume methods through non-polynomial approximation (Q2687529)

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Language	Label	Description	Also known as
English	Order enhanced finite volume methods through non-polynomial approximation	scientific article

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scholarly article

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Order enhanced finite volume methods through non-polynomial approximation (English)

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Andrew J. Christlieb

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Journal of Computational Physics

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publication date

7 March 2023

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zbMATH Keywords

finite volume methods

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optimal order

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radial basis functions

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WENO

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conservation laws

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shape parameter

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.jcp.2023.111960

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An improved WENO-Z scheme

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A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems

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Superconvergence of discontinuous Galerkin solutions for a nonlinear scalar hyperbolic problem

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Adaptive WENO methods based on radial basis function reconstruction

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

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Improved accuracy of high-order WENO finite volume methods on Cartesian grids

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Numerical Approximations of Pressureless and Isothermal Gas Dynamics

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Superconvergence of Discontinuous Galerkin Methods for Linear Hyperbolic Equations

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Superconvergence and time evolution of discontinuous Galerkin finite element solutions

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Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension

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On the Gibbs Phenomenon and Its Resolution

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On the Gibbs phenomenon. I: Recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function

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Strong Stability-Preserving High-Order Time Discretization Methods

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A RBF-WENO finite volume method for hyperbolic conservation laws with the monotone polynomial interpolation method

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Sixth-order Weighted Essentially Nonoscillatory Schemes Based on Exponential Polynomials

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

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Uniformly High-Order Accurate Nonoscillatory Schemes. I

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Uniformly high order accurate essentially non-oscillatory schemes. III. (Reprint)

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Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points

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Numerical Methods for Conservation Laws

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Entropy stable essentially nonoscillatory methods based on RBF reconstruction

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Two-dimensional RBF-ENO method on unstructured grids

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Efficient implementation of weighted ENO schemes

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Weak solutions of nonlinear hyperbolic equations and their numerical computation

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Weighted essentially non-oscillatory schemes

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A new class of high-order methods for fluid dynamics simulations using Gaussian process modeling: one-dimensional case

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A variable high-order shock-capturing finite difference method with GP-WENO

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On a one-sided post-processing technique for the discontinuous Galerkin methods

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Extension of a Post Processing Technique for the Discontinuous Galerkin Method for Hyperbolic Equations with Application to an Aeroacoustic Problem

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Power ENO methods: A fifth-order accurate weighted power ENO method.

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A technique of treating negative weights in WENO schemes

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Efficient implementation of essentially nonoscillatory shock-capturing schemes

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Efficient implementation of essentially nonoscillatory shock-capturing schemes. II

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A note on the accuracy of spectral method applied to nonlinear conservation laws

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A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws

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Optimal recovery using thin plate splines in finite volume methods for the numerical solution of hyperbolic conservation laws

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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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Analysis of Optimal Superconvergence of Discontinuous Galerkin Method for Linear Hyperbolic Equations

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Discontinuous Galerkin method for Krause's consensus models and pressureless Euler equations

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Spectral Approximation Orders of Radial Basis Function Interpolation on the Sobolev Space

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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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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.JCP.2023.111960

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Sitelinks

Mathematics(1 entry)

mardi Publication:2687529

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