2 papers
math.NA2026
Solution of Advection Equation with Discontinuous Initial and Boundary Conditions via Physics-Informed Neural Networks
Omid Khosravi, Mehdi Tatari
In this paper, we investigate several techniques for modeling the one-dimensional advection equation for a specific class of problems with discontinuous initial and boundary condit…
math.NA2026
Computing exponential of tridiagonal Toeplitz matrices with applications to numerical solution of the heat equation
Mehdi Tatari, Majed Hamadi
The computation of the exponential of a tridiagonal matrix and its applications have always been of interest. One application considered here is when the method of lines is used to…