Density tracking by quadrature (DTQ) is a numerical procedure for computing solutions to Fokker-Planck equations that describe probability densities stochastic differential (SDEs). In this paper, we extend upon existing trapezoidal rule DTQ procedures utilizing flexible allows unstructured, adaptive meshes. We the N -dimensions, and demonstrate resulting can be significantly more efficient than...

In this contribution, a systematic method for the design of openand closedloop controllers for vibratory MEMS gyroscopes based on so-called envelope models will be presented. The methodology will be exemplarily carried out for a gyroscope with electrostatic actuation and read-out elements. The specifically designed capacitive actuators of the gyroscope are capable of compensating the system’s i...

Recently the present author has given a new approach to numerical quadrature and derived new numerical quadrature formulas for finite range integrals with algebraic and/or logarithmic endpoint singularities. In the present work this approach is used to derive new numerical quadrature formulas for integrals of the form J"£" x"e~xf(x) dx and J"o° x"Ep(x)f(x) dx, where Ef(x) is the exponential int...