Hessenberg differential algebraic equations (Hessenberg-DAEs) with a high index play critical role in the modeling of mechanical systems and multibody dynamics. Motivated by widely used Lie-group equation (LGDAE) method, which handles index-2 systems, we first propose modified extended (MELGDAE) method for solving index-3 Hessenberg-DAEs then provide theoretical analysis to deepen foundation ME...

This publication reviews the framework of abstract competition, which is aimed at studying complex systems with competition in their generic form. Although the concept of abstract competition has been derived from a specific field--modelling of mixing in turbulent reacting flows--this concept is, generally, not attached to a specific phenomenon or application. Two classes of competition rules, ...

The spatial distribution of petrophysical properties within the reservoirs is one of the most important factors in reservoir characterization. Flow units are the continuous body over a specific reservoir volume within which the geological and petrophysical properties are the same. Accordingly, an accurate prediction of flow units is a major task to achieve a reliable petrophysical description o...