Taking correctly into account long ranged interactions in molecular simulations of molecular
models based on classical atomistic representations are essential to obtain reliable results …

In this study, a modified multilevel fast multipole algorithm is constructed for investigating
large-scale particle systems. The algorithm expands the number of levels of the modified …

Remarkable advancements have been made in the design of optical metasurfaces in recent
years, particularly in compact designs. However, for their practical integration into diverse …

The main purpose of this article is to propose a modified singular boundary method using
the modified fundamental solution of Helmholtz equation for simulation of three-dimensional …

A modified multilevel algorithm for solving the excessive storage requirements and ill-
conditioning encountered in the boundary-type discretization method is proposed. The …

In writing this book, I set out to create an accessible introduction to fast multipole methods
(FMMs) and techniques based on integral equation formulations. These are powerful tools …

Nuclear pasta topology is an essential ingredient to determine transport properties in the
inner crust of neutron stars. We perform semiclassical molecular dynamics simulations of …

Large-scale sound field analysis is a difficult task for numerical simulations. In this study, a
modified dual-level fast multipole boundary element method is proposed for analyzing this …

In the quest for accurate approximations of the noninteracting kinetic energy functional as a
functional of the electronic density, two different paths are usually employed: semilocal …

The singular boundary method (SBM) is a recent strong‐form boundary collocation method
free of integration, mesh, and fictitious boundary. Although an extensive study has been …