Finite-Difference Time-Domain (FDTD) methods have become a cornerstone in the simulation of electromagnetic phenomena, enabling researchers to solve Maxwell’s equations through discretisation in ...

The explicit-jump immersed interface method (EJIIM) was developed following Li's fast iterative immersed interface method (FIIIM), recognizing that the foundation for the efficient solution of many ...

This paper suggests a modification to the explicit finite difference method for valuing derivative securities. The modification ensures that, as smaller time intervals are considered, the calculated ...

This book aids readers in mastering the explicit finite element method as well as programing a code without extensively reading the more general finite element books.

[1] An alternating-direction hybrid implicit-explicit finite-difference time-domain method for the Schrödinger equation. Journal of Computational and Applied Mathematics (2022).