3 papers
math.NA2024
Nonreflecting Boundary Condition for the free Schrödinger equation for hyperrectangular computational domains
Samardhi Yadav, Vishal Vaibhav
In this article, we discuss the efficient ways of implementing the transparent boundary condition (TBC) and its various approximations for the free Schrödinger equation on a hyper…
math.NA2024
Transparent boundary condition and its high frequency approximation for the Schrödinger equation on a rectangular computational domain
Samardhi Yadav, Vishal Vaibhav
This paper addresses the numerical implementation of the transparent boundary condition (TBC) and its various approximations for the free Schrödinger equation on a rectangular com…
math.NA2024
Transparent boundary condition and its effectively local approximation for the Schrödinger equation on a rectangular computational domain
Samardhi Yadav, Vishal Vaibhav
The transparent boundary condition for the free Schrödinger equation on a rectangular computational domain requires implementation of an operator of the form $\sqrt{\partial_t-i\t…