### Table 4: Kernel IS on native PVM

### Table 5: Kernel FT on native PVM

### Table 7: Kernel MG on enhanced PVM

### Table 8: Kernel CG on enhanced PVM

### Table 1 Problem sizes

1997

"... In PAGE 12: ... For example, to obtain a two stage problem from a multi-stage problem we aggregate each second stage problem and its descendants into a single deterministic equivalent linear program. Table1 presents the sizes and characteristics of the resulting problems. Although the problems in each pair have the same sizes they di er in the lower bounds imposed on the nal levels of the reservoirs.... In PAGE 12: ... Although the problems in each pair have the same sizes they di er in the lower bounds imposed on the nal levels of the reservoirs. Column 1 of Table1 gives the problem identi ers, column 2 presents the number of stages in the problem (after aggregation), and column 3 contains the size of the deterministic equivalent problem. Column 4 contains the size of each subproblem after aggregation.... ..."

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### Table 1. Problem sizes

"... In PAGE 4: ... (a) PES (c) N-Body, FT, IS (b) M3 Figure 2. Communication patterns Table1 lists the problem size for each applica- tion. The number before the comma is the matrix size for PES, M3 and FT and the number of par- ticles or integers for N-Body and IS; the number after the comma is the number of iterations or simulation time steps.... ..."

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### Table 2: Problem size.

1997

"... In PAGE 15: ... 4.6 Problem size To illustrate the scale of the numerical problem, we included Table2 which for three practical choices of the spatial grid gives the total number of concentration values that must be computed by integration in time. In this table we have taken into account the savings of the grid reduction near the poles.... In PAGE 16: ... The discretization parameters were chosen as follows. Three di erent reduced longitude-latitude grids were used with the same vertical grid, see Table2 . These grids determine the critical advection step size tadv for stability and positivity through the CFL condition (3.... ..."

Cited by 3

### Table 1. Problem sizes.

"... In PAGE 9: ...1 The test set consists of state spaces generated by case studies car- ried out with the CRL toolset [4]. Problem sizes before and after reduction can be found in Table1 . 1394-LL,1394-LE are models of the firewire link layer [17] and of the firewire leader election protocol with 17 nodes [23].... ..."

### Table 1 Problem sizes.

"... In PAGE 9: ... 4 The test set consists of state spaces generated by case studies carried out with the CRL toolset [4]. Problem sizes before and after reduction can be found in Table1 . 1394-LL,1394-LE are models of the rewire link layer [15] and of the rewire leader election protocol with 17 nodes [19].... ..."

### Table 1. Problem sizes.

"... In PAGE 8: ... These problems are case studies carried out with the CRL toolset [7]. Their sizes before and after reduction can be found in Table1 . The test results can be found in Table 2.... ..."