We apply the stochastic Perron method of Bayraktar and Sîrbu to a general infinite horizon optimal control problem, where the state X is a controlled diffusion process, and the state constraint is described by a closed set. We prove that the value function v is bounded from below (resp., from above) by a viscosity supersolution (resp., subsolution) of the related state constrained problem for t...

Coupled systems of differential-algebraic equations (DAEs) may suffer from instabilities during a dynamic iteration. For a general dynamic iteration, we extend the existing analysis on recursion estimates, error transport and stability to a general DAE setting. In this context, we discuss the influence of certain coupling structures and the computational sequence of the subsystems on the rate o...

The number of terramycin-resistant mutants in Bacillus megatherium cultures, their mutation rate, and the growth rate of the wild and mutant cells have been determined under various conditions. These values are in agreement with the following equations (Northrop and Kunitz, 1957):- See PDF for Equation lambda = mutation rate, A = growth rate constant of wild cells, B = growth rate constant of m...

OBJECTIVE To compare performance of combined creatinine and cystatin C-based equation with equations based on either cystatin C or creatinine alone, in early chronic kidney disease. DESIGN Diagnostic accuracy study. SETTING Tertiary-care hospital. PATIENTS One hundred children with chronic kidney disease who underwent 99mTc diethylenetriamine pentaacetic acid (DTPA) glomerular filtration ...

A batch adsorption equation was derived by integrating an irreversible rate equation obtained by neglecting the desorption term of the Langmuir adsorption-rate equation. The integrated equation was in reasonably good agreement with experiment and provided a means for determining from the data the parameters gQ and ku These constants, namely, the adsorptive capacity and the adsorption rate const...

planar d-bar integral equation is one of the inverse scattering solution methods for complex problems including inverse conductivity considered in applications such as electrical impedance tomography (eit). recently two different methodologies are considered for the numerical solution of d-bar integrals equation, namely product integrals and multigrid. the first one involves high computational ...