test

Author: Iddingsite

README.md

@@ -6,7 +6,7 @@
 
 FiniteDiffWENO5.jl is a Julia package that implements a finite difference fifth order Weighted Essentially Non-Oscillatory (WENO) method on regular grids for advection terms in partial differential equations for 1D, 2D, and 3D problems. The current implementation is based on the WENO-Z scheme from [Borges et al. (2008)](10.1016/j.jcp.2007.11.038).
 
-Currently, the package focuses on non-conservative form of the advection terms ($\mathbf{v} \cdot \nabla u$) on collocated grid, and conservative form ($\nabla \cdot \!(\mathbf{v} u)$) on staggered grid with the advection velocity located on the sides of the cells. The time integration is performed using a third-order Strong Stability Preserving Runge-Kutta (SSP-RK3) method.
+Currently, the package focuses on non-conservative form of the advection terms ($\mathbf{v} \cdot \nabla u$) on collocated grid, and conservative form ($\text{div}\right(\mathbf{v} u\left)$) on staggered grid with the advection velocity located on the sides of the cells. The time integration is performed using a third-order Strong Stability Preserving Runge-Kutta (SSP-RK3) method.
 
 The core of the package is written in pure Julia, focusing on performance using CPUs but GPU support is available using KernelAbstractions.jl and Chmy.jl via an extension.