From an understanding of the processes that cause a marginally unstable eigenmode of the system to sweep in frequency, it is shown how the absolute peak amplitude of the mode can be determined from the spectroscopic measurements of the frequency sweeping rate, e.g. with Mirnov coils outside the plasma. In a first attempt to implement such a diagnostic calculation, the MISHKA code (Mikhailovskii...

In this paper, we consider a class of substitution strategies which correspond to various minor expansion algorithms, and show that the usual expansion by minors, a row at a time, is optimal in this class. Motivation. One of the least understood aspects of symbolic formula manipulation is the problem of substitution, particularly the merits of various strategies. A specific example, where subst...

In this paper, the performance of three high pressure HFC refrigerants: R-32, R-41 OA, and R-41 08, is compared to that of R-22. R-32 has excellent thermophysical properties as compared to R-41 OA, R-41 08 and R-22. However, R-32 is a flammable refrigerant while R-41 OA and R-41 OB are non-flammable. The performance of these refrigerants is investigated in a residential heat pump at the test co...

This paper introduces the recursive sweeping preconditioner for the numerical solu4 tion of the Helmholtz equation in 3D. This is based on the earlier work of the sweeping preconditioner 5 with the moving perfectly matched layers (PMLs). The key idea is to apply the sweeping precondi6 tioner recursively to the quasi-2D auxiliary problems introduced in the 3D sweeping preconditioner. 7 Compared ...