### Table V. Numerical results

in Calculating Risk of Cost Using Monte Carlo Simulations with Fuzzy Parameters in Civil Engineering

### TABLE V Generalization performance on the numeral data

1998

Cited by 1

### Table 1. Numerical results for the multiplicative V-cycles.

"... In PAGE 3: ...17) in reverse order. The condition numbers m for ~ M K;;! A K with ! K ;1 are presented in the third rowof Table1 , where ~ M K;;! = M t K;;! M K;;! is now symmetric. The results are better than expected from the upper bounds of Theorem 4.... In PAGE 4: ...-cycle algorithm, i.e., Algorithm 3.1 with p =1andm(k) = 1 for all k. The rst tworows of Table1 show the results for levels K =3;;:::;;7 for this symmetric V-cycle, where ( v ;; v ) denote the condition number for the system B K A K and the reduction factor for the system Id K ; B K A K as a function of the mesh size on the nest grid h K . While there is no complete theory for this V-cycle algorithm, it is of... ..."

### Table V. The Numerical Computations Behind Reversal of Arc (P, S)

1994

Cited by 19

### Table V : Numerical Experiment Results of Repairing Different Input Mesehs

### Table 1 shows the convergence of the relative error in an adaptive iteration. It can be seen, that from about 10,000 grid points on, the ratio between error and estimate remains constant. The last column displays the grid e ciency, the product of the number of grid cells and the relative error. This number is about constant on all grids, displaying second order convergence on adaptive meshes. A typical computational grid is shown on the left Figure 3. Although the primal problem is symmetric, the weighted residual estimator induces a stronger grid re nement in the direction of interest. For comparison, a typical grid for a

1998

"... In PAGE 8: ...9e-2 7.70 231 Table1 : Comparison of relative errors and estimates From these numerical results, we conclude, that the norm k:kW is appropriate indeed to estimate stability for the radiative transfer equation. Furthermore, these results were obtained with a xed angular discretization of an odd number of intervals on S2, so no symmetry condition applies to the method.... ..."

Cited by 1