Sharp wave treatment for 1-D gas dynamic problem is still a chellenge modern numerical methods. They often require too many space and time steps, produce spurious oscillation of solution, exhibit strong dissipation or divergence results. This paper further extension authors’ idea employment the analytical solution coordinate, where step parameter which used in solution. Its peculiarity consists...

the above titled paper examined the food and drug administration’s (fda’s) warning letters and notice of violations (nov) over a 10-year period. findings from this content analysis reinforced what has been the primary issue for prescription direct-to-consumer advertising (dtca) since its beginning, the fair balance of risk and benefit information. as opposed to another analysis in 2026 about th...

Tracking control of the direct-drive robot manipulators in high-speed is a challenging problem. The Coriolis and centrifugal torques become dominant in the high-speed motion control. The dynamical model of the robotic system including the robot manipulator and actuators is highly nonlinear, heavily coupled, uncertain and computationally extensive in non-companion form. In order to overcome thes...