3854 research outputs found
Sort by
1/16/2019: Course Change Form MGMT 312
No full textThis course introduces the students to systems simulation as a way to analyze complex business issues and problems. These skills are increasingly important in the solution of challenging problems in the increasingly complex business environment
On the convergence of spectral deferred correction methods
Get PDFIn this work we analyze the convergence properties of the Spectral Deferred Correction (SDC) method originally proposed by Dutt et al. [BIT, 40 (2000), pp. 241--266]. The framework for this high-order ordinary differential equation (ODE) solver is typically described wherein a low-order approximation (such as forward or backward Euler) is lifted to higher order accuracy by applying the same low-order method to an error equation and then adding in the resulting defect to correct the solution. Our focus is not on solving the error equation to increase the order of accuracy, but on rewriting the solver as an iterative Picard integral equation solver. In doing so, our chief finding is that it is not the low-order solver that picks up the order of accuracy with each correction, but it is the underlying quadrature rule of the right hand side function that is solely responsible for picking up additional orders of accuracy. Our proofs point to a total of three sources of errors that SDC methods carry: the error at the current time point, the error from the previous iterate, and the numerical integration error that comes from the total number of quadrature nodes used for integration. The second of these two sources of errors is what separates SDC methods from Picard integral equation methods; our findings indicate that as long as difference between the current and previous iterate always gets multiplied by at least a constant multiple of the time step size, then high-order accuracy can be found even if the underlying solver is inconsistent the underlying ODE. From this vantage, we solidify the prospects of extending spectral deferred correction methods to a larger class of solvers to which we present some examples
2/13/2019: Course Change Form MECH 431
No full textMECH 430 is currently a four (4) credit hour course with five (5) contact hours: three (3) lecture and two (2) lab. Currently, the grading for the lab is integrated in the overall course grade. The course will be separated into one, three (3) credit hour lecture course (3 contact hours), MECH 430, and one, one (1) credit hour lab course (two contact hours), MECH431. This arrangement falls in line with the model set in other programs such as Physics (i.e. PHYS 114 and 115). If workload is assessed by credit hour, this change will need to occur to better define the workload associated with this course
1/23/2019: Course Change Form MGMT 314
No full textThis proposal realigns the course content to better support managerial application of the course material