We stress that the moment evolution equations are well-known, but their explicit derivation from the master equation cannot be found in the literature to the best of our knowledge, and so we provide ...

The structure of this study is outlined as follows: the next section presents the adopted mathematical formulation, where the fundamental equations are expressed in the cylindrical coordinate system, ...

Abstract: Some problems arise in particle-in-cell (PIC) codes when computing the density of charge at the nodes in cylindrical coordinates, especially near the axis. Several authors has different ways ...

In assuming Euler homogeneity of the total volumetric flow rate and comparing the resulting first-order partial differential equation to the total volumetric ... acting on functions or as coordinates ...

The governing equations of pseudoplastic Williamson fluid are modelled and then simplified by using similarity transformations and boundary layer approach. The reduced equations are then solved ...

Mathematisches Institut der LMU München, Theresienstrae 39, 80333 München, Germany ...

We then show that these equations are also sufficient, in the following sense: If a symmetric matrix field defined over a simply-connected open set satisfies the Saint Venant equations in curvilinear ...

Greedy Coordinate Descent offers an alternative that: Exploits the structure of the constraint graph to focus updates where they matter most. Updates one variable at a time, improving interpretability ...