Some recent developments in numerical methods for calcuting solutions to the transonic potential flow equation are reviewed, including (1) the construction of stable coordinate independent difference schemes; (2) the use of conservatiation form to insure proper shock jump conditions; (3) analysis of the relaxation method by the time dependent analogy; (4) accelerated iterative schemes.

E64 CMAJ, March 1, 2016, 188(4) ©2016 8872147 Canada Inc. or its licensors A psychiatrist was found guilty of sexually abusing his patient and the patient was awarded $550 000 in damages, but a New Brunswick court ruled she’s not entitled to compensation from the Canadian Medical Protective Association (CMPA), which provides liability coverage to physicians. Now the patient is suing the New Bru...

First, it is important to understand that the effects of increasing atmospheric carbon dioxide content are uncertain, and may be as much as an order of magnitude less than is assumed by the computer models. The strength of various feedback effects is also uncertain. But the most important point is that computer models of the state of climate in 100 years’ time are viewed by their creators as sc...

BACKGROUND In recent years, various noninvasive respiratory support (NRS) of ventilation has been provided more in neonates. The aim of this study was to compare the effect of HFNC with NCPAP in post-extubation of preterm infants with RDS after INSURE method (intubation, surfactant, extubation). METHODS A total of 54 preterm infants with RDS (respiratory distress syndrome) were enrolled in th...

A coupled level set and Particle-In-Cell method is presented to treat the penetration problems. The coupled method has the advantages of level set method and Particle-In-Cell method, and the basic idea is that the important computation region such as the large deformation region where more particles are added for calculation, while the continuous transport method is used in the other regions. T...

OBJECTIVE To determine whether very low birth weight infants (VLBWIs), initially supported with continuous positive airway pressure (CPAP) and then selectively treated with the INSURE (intubation, surfactant, and extubation to CPAP; CPAP/INSURE) protocol, need less mechanical ventilation than those supported with supplemental oxygen, surfactant, and mechanical ventilation if required (Oxygen/me...

We aimed to determine whether an early prophylactic INSURE strategy combined with early nasal continuous positive airway pressure (nCPAP) treatment could decrease the subsequent need for mechanical ventilation (MV) compared to the administration of surfactant prophylaxis later, at the 15th minute after birth, combined with early nCPAP. Infants born at <30 weeks' gestation were randomized to rec...

In this paper, we give explicit estimates that insure the existence of solutions for first order partial differential operators on compact manifolds, using a viscosity method. In the linear case, an explicit integral formula can be found, using the characteristics curves. The solution is given explicitly on the critical points and the limit cycles of the vector field of the first order term of ...

Given an arbitrary Petri net structure, which may have uncontrollable and unobservable transitions, the deadlock prevention procedure presented here determines a set of linear inequalities on the marking of a Petri net. When the Petri net is supervised so that its markings satisfy these inequalities, the supervised net is proved to be deadlock-free for all initial markings that satisfy the supe...