Mathematics and Statistics
A HYBRIDIZED DISCONTINUOUS GALERKIN SCHEME FOR THE COUPLED STOKES-DARCY FLOW AND TRANSPORT (2022-03-22)The main focus of this thesis is on finding highly accurate and robust numerical methods to solve a complex flow and transport problem governed by the fully-coupled time-dependent Stokes-Darcy-transport equations. This ...
MATHEMATICAL MODELS, ANALYSIS AND SIMULATIONS OF THE HANDY MODEL WITH MIDDLE CLASS (2021-12-06)This study presents three different mathematical versions of the HANDY (Human And Nature DYnamics) model for the socioeconomic dynamics of a large stratified society. The basic model was introduced in the ground breaking ...