Novel High‐Order Alternative Finite Difference Central WENO Schemes for Hyperbolic Conservation Laws
Z Gao, ZY Tang, BS Wang… - Numerical Methods for …, 2025 - Wiley Online Library
The fifth‐order alternative finite difference weighted essentially non‐oscillatory (A‐WENO5)
scheme is dominated by the truncation error of interpolation, resulting in a loss of one order …
scheme is dominated by the truncation error of interpolation, resulting in a loss of one order …
Affine-Invariant WENO Operator on Nonuniform Cartesian Mesh with Application to Finite Volume and Discontinuous Galerkin Methods
XS Xiang, BS Wang, Z Gao, P Li - Journal of Scientific Computing, 2025 - Springer
For solving hyperbolic conservation laws that arise frequently in computational physics, high
order finite volume WENO (FV-WENO) schemes and discontinuous Galerkin (DG) methods …
order finite volume WENO (FV-WENO) schemes and discontinuous Galerkin (DG) methods …
Low-dissipation central-upwind schemes for compressible multifluids
We introduce second-order low-dissipation (LD) path-conservative central-upwind (PCCU)
schemes for the one-(1-D) and two-dimensional (2-D) multifluid systems, whose …
schemes for the one-(1-D) and two-dimensional (2-D) multifluid systems, whose …
[PDF][PDF] Lecture Note on the WENO Finite Difference
Welcome to the lecture notes on A Personal Journey in the World of WENO, 8 which is
presented as a mini-course in the Special Program on Numerical Methods 9 for Nonlinear …
presented as a mini-course in the Special Program on Numerical Methods 9 for Nonlinear …
[PDF][PDF] Affine-Invariant WENO Operator on Nonuniform Mesh with Application to Finite Volume and Discontinuous Galerkin Methods
XS Xiang, BS Wang, Z Gao, P Li - researchgate.net
For solving hyperbolic conservation laws that arise frequently in computational physics, high
order finite volume WENO (FV-WENO) schemes and discontinuous Galerkin (DG) methods …
order finite volume WENO (FV-WENO) schemes and discontinuous Galerkin (DG) methods …
[PDF][PDF] Affine-invariant Trigonometric WENO Finite Difference Schemes for Hyperbolic Conservation Laws
An improved affine-invariant trigonometric weighted essentially non-oscillatory (Ai-TWENO)
finite difference schemes are developed to address the limitations of existing TWENO …
finite difference schemes are developed to address the limitations of existing TWENO …