Improving the third-order WENO schemes by using exponential polynomial space with a locally optimized shape parameter
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Publication:6048988
DOI10.1016/j.camwa.2023.08.021OpenAlexW4386491391MaRDI QIDQ6048988
Jung-il Choi, Jungho Yoon, Kyungrok Lee
Publication date: 13 October 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2023.08.021
hyperbolic conservation lawsexponential polynomialWENO schemeshape parametersmoothness indicatororder of accuracy
Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) 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)
Cites Work
- Unnamed Item
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- Accuracy of the weighted essentially non-oscillatory conservative finite difference schemes
- A RBF-WENO finite volume method for hyperbolic conservation laws with the monotone polynomial interpolation method
- Radial basis function ENO and WENO finite difference methods based on the optimization of shape parameters
- An adaptive central-upwind weighted essentially non-oscillatory scheme
- A new fifth order finite difference WENO scheme for solving hyperbolic conservation laws
- Discontinuous Galerkin method based on non-polynomial approximation spaces
- On the spectral properties of shock-capturing schemes
- Third-order energy stable WENO scheme
- The numerical simulation of two-dimensional fluid flow with strong shocks
- 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
- An improved third-order weighted essentially non-oscillatory scheme achieving optimal order near critical points
- An improved third-order WENO-Z scheme
- Improvement of third-order WENO-Z scheme at critical points
- Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
- Efficient implementation of weighted ENO schemes
- WENO schemes and their application as limiters for RKDG methods based on trigonometric approximation spaces
- Modified third and fifth order WENO schemes for inviscid compressible flows
- An improved WENO method based on Gauss-kriging reconstruction with an optimized hyper-parameter
- A new type of increasingly high-order multi-resolution trigonometric WENO schemes for hyperbolic conservation laws and highly oscillatory problems
- Seventh and ninth orders characteristic-wise alternative WENO finite difference schemes for hyperbolic conservation laws
- An improved weighted essentially non-oscillatory scheme with a new smoothness indicator
- Construction of an improved third-order WENO scheme with a new smoothness indicator
- An improved fifth order alternative WENO-Z finite difference scheme for hyperbolic conservation laws
- 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
- Hybrid Compact-WENO Finite Difference Scheme with Conjugate Fourier Shock Detection Algorithm for Hyperbolic Conservation Laws
- Modified Essentially Nonoscillatory Schemes Based on Exponential Polynomial Interpolation for Hyperbolic Conservation Laws
- Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics
- Total variation diminishing Runge-Kutta schemes
- Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters
- An Efficient Third-Order WENO Scheme with Unconditionally Optimal Accuracy
- Improving Accuracy of the Fifth-Order WENO Scheme by Using the Exponential Approximation Space
- Adaptive ADER Methods Using Kernel-Based Polyharmonic Spline WENO Reconstruction
- WENO Reconstructions of Unconditionally Optimal High Order
- Trigonometric WENO Schemes for Hyperbolic Conservation Laws and Highly Oscillatory Problems
- Sixth-order Weighted Essentially Nonoscillatory Schemes Based on Exponential Polynomials
- Weak solutions of nonlinear hyperbolic equations and their numerical computation
