The present invention is directed to features and aspects of an in-vivo visualization system that comprises a catheter having an access port leading to an interior lumen through which an image transmission member is routed, and an endoscope having an access port leading to an interior lumen through which the catheter is routed. A relaxed NFET region includes one of an ion implanted silicon and an ion implanted silicon dioxide interface layer of a tensilely strained silicon layer of the silicon on insulator wafer. More particularly, embodiments of the present invention provide a non-finite-element-method to implement the finite element projection to obtain a linear system whose coefficient matrix has an average bandwidth of five, in comparison to the finite difference scheme using conventional finite element projection and implementation with a bandwidth of nine. When the engine has rapidly decelerated during regeneration, the controller decreases the exhaust gas temperature to a second target exhaust gas temperature lower than the first target exhaust gas temperature, and increases the exhaust gas flow rate, thereby preventing the filter from exceeding an upper limiting temperature.