### Table 5: Numerical results with the rectangular cavity and the Dirichlet boundary con- dition.

2000

"... In PAGE 25: ... With the rectangular cavity, we used only the Dirichlet boundary condition and three di erent wavelengths. The results are collected in Table5 , and they demonstrate that Table 6: Numerical results with the two hemispheres. R h N Ns Nb iter T 2 16 7:0e6 80584 28484 71 246:0 4 16 2:4e7 319424 114900 125 1836:0 8 16 1:2e8 1269864 461380 155 7962:0 16 16 6:4e8 5061944 1848260 233 82752:0... ..."

### TABLE III TOTAL PHASE SHIFTS FOR THREE DIFFERENT SIGNAL PATHS IN THE VERTICALLY STACKED DUAL-MODE CAVITY FILTER WITH A RECTANGULAR SLOT

### Table 2. Behaviour of the eigenvalues j using sequence of randomly perturbed grids. The instability of section 2 is still apparent, on the other hand, if uniform grids of rectangular elements are used. In this case the instability is more subtle in that if the aspect ratio is large, appears to be bounded away from zero on coarse grids. It is only when h is su ciently small that the O(h2) asymptotic behaviour of is observed. Having established the structure of the underlying instability, the rami cations for practical computations need to be addressed. The critical issue is the e ect of the instability on solution accuracy, and the real possibility of discrete solutions blowing up as h ! 0, as suggested in [1]. To x ideas we concentrate on a model test problem: driven cavity ow with zero velocity imposed on three sides of the unit square, with a unit horizontal velocity and zero vertical velocity on the lid. Specifying the horizontal velocity to be unity at the top corners gives a leaky cavity, whereas a value of zero at the corner models the \tough quot; watertight cavity [10]. In either case, mixed nite element discretisation gives the matrix system 0

"... In PAGE 11: ...noting that the instability of Q1{P0 can be \removed quot; by appropriately perturbing an ostensibly uniform grid. To see this, a set of results is given in Table2 , using the nested grid sequence illustrated in gure 7, where at every re nement level the newly introduced nodes (mid-sides and centroid) are randomly perturbed. There is no \spurious quot; zero eigenmode in this case, furthermore, the non-zero eigenvalues appear to stay bounded away from zero as the mesh is... ..."

### TABLE I Runtimes of CAVITY

2003

Cited by 2

### Table 7: Analysis of variance for cavity-to-cavity variation.

"... In PAGE 60: ... The analysis shows that main effects C (Injection time) and H (Cooling time) have significant influence on the cavity-to-cavity variation. Table7 summarizes the analysis of variance with the logarithmic transformed cavity-to-cavity variance as response. In Figure 6 the relative size of the two significant factors is displayed.... ..."

### Table 1: Beam and cavity parameters

"... In PAGE 2: ... To be speci c, we assume that the RLA linacs employ LEP-type cavities. Table1 lists relevant cavity and beam parameters [4]. Table 1: Beam and cavity parameters... ..."

### Table 5. Complexity from Cavity Detector algorithm. Complexity Cavity Detector

2006

"... In PAGE 12: ... APPENDIX I: Computational Complexity Mathematical Formulae Additional formulae for calculating the arithmetic, the address, and the control operations are provided for three well known applications, namely Cavity Detector [12] (image processing), QSDPCM [23] (video encod- ing) and 1-D Wavelet [7] (image compression). The corresponding formulae for estimating the instruction complexity and the number of data memory accesses for each application are shown in Table5 , 6 and 7, respectively. In particular, the algorithm of Cavity detection be- longs to the medical image processing domain.... ..."

### Table 1 BPM Cavity Parameters.

"... In PAGE 2: ... Table1 . gives the calculated rf cavity parameters and expected performance.... ..."

### Table1. Modifications of 9-cell TESLA cavity TTF 9-cell cavity Large iris 9-cell cavity

"... In PAGE 2: ... 2.1 THE LARGE IRIS CAVITY The changes of shape proposed in [1] for a new cavity is listed in the Table1 and shown in Fig. 1.... ..."