High-order weighted compact nonlinear scheme for one-and two-dimensional Hamilton-Jacobi equations
YQ Jiang, SG Zhou, X Zhang, YG Hu - Applied Numerical Mathematics, 2022 - Elsevier
This paper designs a fifth-order weighted compact nonlinear scheme (WCNS) on a five-point
stencil to solve one-and two-dimensional Hamilton-Jacobi equations. The five-point WCNS …
stencil to solve one-and two-dimensional Hamilton-Jacobi equations. The five-point WCNS …
Eno classification and regression neural networks for numerical approximation of discontinuous flow problems
Learning high order non-oscillatory polynomial approximation procedures which form the
backbone of high order numerical solution of partial differential equations is challenging …
backbone of high order numerical solution of partial differential equations is challenging …
High-resolution WENO schemes using local variation-based smoothness indicator
A novel smoothness indicator is proposed herein for WENO schemes based on the point-
wise local variation in the candidate stencils. The proposed indicator is further used to define …
wise local variation in the candidate stencils. The proposed indicator is further used to define …
Triplet Order Adaptive Seventh-Order WENO Scheme for Compressible Flows
Accurately determining shock structures is crucial for assessing the loads on supersonic
flights. Achieving precision in aero-thermal load estimation for high Mach number flows …
flights. Achieving precision in aero-thermal load estimation for high Mach number flows …
[CITATION][C] A fifth-order WENO scheme with arc-length smoothness indicators based on exponential polynomials for Hamilton-Jacobi equations
R Abedian - International Journal of Modern Physics C, 2025 - World Scientific
In this paper, the authors introduce a new Weighted Essentially Non-Oscillatory (WENO)
scheme. This scheme is founded on exponential functions and utilizes arc-length …
scheme. This scheme is founded on exponential functions and utilizes arc-length …