Table 1.
Assembly time and storage requirements for multi-wavelet matrix evaluated at 100 realizations of the random inputs. Sparse tensor product multi-indices with total order less than m are employed. The times reported were obtained on an Intel® Core™ i7-4770 CPU, 3.40 GHz with a cache size of 8192 KB.
| Test No. | Dimensions | MW order | MW Quad. order | Time [s] | Mat. rows | Mat. columns | Mat. size [MB] |
|---|---|---|---|---|---|---|---|
| 1 | 5 | 1 | 10 | 0.0048 | 100 | 36 | 0.027 |
| 2 | 5 | 2 | 10 | 0.0049 | 100 | 126 | 0.096 |
| 3 | 5 | 3 | 10 | 0.0136 | 100 | 336 | 0.256 |
| 4 | 20 | 1 | 10 | 0.0405 | 100 | 441 | 0.336 |
| 5 | 20 | 2 | 10 | 0.4598 | 100 | 4851 | 3.701 |
| 6 | 20 | 3 | 10 | 3.8565 | 100 | 37191 | 28.374 |
| 7 | 50 | 1 | 10 | 0.559620 | 100 | 2601 | 1.984 |
| 8 | 50 | 2 | 10 | 14.948165 | 100 | 67626 | 51.595 |