Development of a WENO scheme based on radial basis function with an improved convergence order
From MaRDI portal
Publication:2168311
DOI10.1016/j.jcp.2022.111502OpenAlexW4289781158WikidataQ113871667 ScholiaQ113871667MaRDI QIDQ2168311
Hyoseon Yang, Jungho Yoon, Byeongseon Jeong
Publication date: 31 August 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111502
hyperbolic conservation lawsradial basis functionWENO schemeshape parametersmoothness indicatororder of accuracy
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Hyperbolic equations and hyperbolic systems (35Lxx) Approximations and expansions (41Axx)
Related Items (2)
A new type of non-polynomial based TENO scheme for hyperbolic conservation laws ⋮ Novel TENO schemes with improved accuracy order based on perturbed polynomial reconstruction
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Modified non-linear weights for fifth-order weighted essentially non-oscillatory schemes
- A RBF-WENO finite volume method for hyperbolic conservation laws with the monotone polynomial interpolation method
- Interpolation of scattered data: distance matrices and conditionally positive definite functions
- A numerical study of some radial basis function based solution methods for elliptic PDEs
- An adaptive central-upwind weighted essentially non-oscillatory scheme
- A new fifth order finite difference WENO scheme for solving hyperbolic conservation laws
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
- Weighted essentially non-oscillatory schemes
- Interpolation in the limit of increasingly flat radial basis functions
- A modified fifth-order WENO scheme for hyperbolic conservation laws
- Stable computation of multiquadric interpolants for all values of the shape parameter
- Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
- Efficient implementation of weighted ENO schemes
- On the structure of function spaces in optimal recovery of point functionals for ENO-schemes by radial basis functions
- WENO schemes and their application as limiters for RKDG methods based on trigonometric approximation spaces
- An improved WENO method based on Gauss-kriging reconstruction with an optimized hyper-parameter
- Two-dimensional RBF-ENO method on unstructured grids
- An improved weighted essentially non-oscillatory scheme with a new smoothness indicator
- An improved WENO-Z scheme
- Adaptive WENO methods based on radial basis function reconstruction
- An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
- Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions
- A fifth-order flux-implicit WENO method
- Modified Essentially Nonoscillatory Schemes Based on Exponential Polynomial Interpolation for Hyperbolic Conservation Laws
- Uniformly High-Order Accurate Nonoscillatory Schemes. I
- On Families of Pointwise Optimal Finite Volume ENO Approximations
- Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics
- Improving Accuracy of the Fifth-Order WENO Scheme by Using the Exponential Approximation Space
- Adaptive ADER Methods Using Kernel-Based Polyharmonic Spline WENO Reconstruction
- Entropy stable essentially nonoscillatory methods based on RBF reconstruction
- Trigonometric WENO Schemes for Hyperbolic Conservation Laws and Highly Oscillatory Problems
- Analysis of Univariate Nonstationary Subdivision Schemes with Application to Gaussian-Based Interpolatory Schemes
- Systems of conservation laws
- Sixth-order Weighted Essentially Nonoscillatory Schemes Based on Exponential Polynomials
- Weak solutions of nonlinear hyperbolic equations and their numerical computation
- Scattered Data Approximation
This page was built for publication: Development of a WENO scheme based on radial basis function with an improved convergence order
