Implicit integration factor (IIF) method, a class of efficient semi-implicit temporal scheme, was introduced recently for stiff reaction-diffusion equations. To reduce cost of IIF, compact implicit integration factor (cIIF) method was later developed for efficient storage and calculation of exponential matrices associated with the diffusion operators in two and three spatial dimensions for Cart...

ions that are not shown include:  The multiple dimension systems of the Person object frame class; these typically include: o A special “component holder” dimension system. o A 4D dimension system (a Cartesian coordinate + time system).  Transforms between the above two dimension systems. Some of the descriptions of definitions in the following sections will refer to this diagram. Structural ...

A 2D analytical method for magnetic vector potential calculation in inner rotor surface mounted and surface inset permanent magnet machines considering slotting effects, magnetization orientation and winding layout has been proposed in this paper. The analytical method is based on the resolution of Laplace and Poisson equations as well as Maxwell equation in quasi- Cartesian coordinate by using...

Dirac stated that the Cartesian coordinates are uniquely suited for expressing canonical commutation relations in a simple form. By contrast, these any other coordinate system is more complicated and less obvious. The question we address this work reason why true. We claim unique role of result existence uniqueness Hofer metric on space transformations phase getting quantized.

This work presents an approach to simultaneously but independently control the compliance of a robotic system transversal and tangential to a given path. A subordinate path following controller transforms the nonlinear dynamics into a linear system with decoupled transversal and tangential dynamics via a coordinate transformation and an exact input-output linearization. The outer control loop u...

Solving the problem of continuum mechanics has revealed defining generalizations using function argument method. The aim this study was to devise new approaches solving problems in Cartesian coordinate system. Additional functions, or coordinates deformation site, are introduced into consideration. carriers proposed arguments should be basic dependences that satisfy boundary edge conditions, as...