2 papers
math.NA2025
Numerical moment stabilization of central difference approximations for linear stationary reaction-convection-diffusion equations with applications to stationary Hamilton-Jacobi equations
T. Lewis, X. Xue
Linear stationary reaction-convection-diffusion equations with Dirichlet boundary conditions are approximated using a simple finite difference method corresponding to central diffe…
math.NA2025
A high order correction to the Lax-Friedrich's method for approximating stationary Hamilton-Jacobi equations
T. Lewis, X. Xue
A new class of non-monotone finite difference (FD) approximation methods for approximating solutions to non-degenerate stationary Hamilton-Jacobi problems with Dirichlet boundary c…