### Table 2. The Burgers equation (singular solution). The errors errc(t) and errl(t) under t = 8 (T 5:09). Other parameter values are the same as in Table 1. The time steps h and h are used under t t and t gt; t correspondingly.

"... In PAGE 37: ...y the algorithms (8.9) and (8.10) with a su ciently big time step h and with hx = h3=4 up to the time moment t lt; T; then we change the time step h to a smaller one h ; take hx = h ; and continue simulations. Table2 gives the results of simulation of the problem (8.... ..."

### Table 1. Singular Values

"... In PAGE 8: ... The L-curve method is reliable and simple and is implemented to choose the regularization parameter. The singular values for the ill-posed problem of drift detection are given in Table1 . It should be noted that there is only one significant singular value (4.... ..."

### Table 2. Time breakdown for the computation of 500 singular values and singular vectors.

"... In PAGE 6: ... A similar strategy is used for V, which is also full. Table2 shows the number of steps, the total wall-clock time (in seconds) and the time breakdown (in %) for the computation of 500 singular values and singular vectors of model 1 using Algorithm 1, for five values of p. We used 32 processors and required .... ..."

### Table 2. Time breakdown for the computation of 500 singular values and singular vectors.

"... In PAGE 6: ... A similar strategy is used for V, which is also full. Table2 shows the number of steps, the total wall-clock time (in seconds) and the time breakdown (in %) for the computation of 500 singular values and singular vectors of model 1 using Algorithm 1, for five values of p. We used 32 processors and required .... ..."

### Table 4.4 summarizes the performance for NTLS1, NTLS2 and RTLS using = 0:01. As in the previous examples, the results displayed in Table 4.4 correspond to using direct methods to solve the TLS normal equations at each Newton step. Multiple tests were conducted for increasing values of n. The relative tolerance , used in the stopping criteria, was 10?8 in each case. Cases where a particular method failed to converge to the correct singular value are marked as \y quot;.

1998

Cited by 5

### Table 1: Paths to compute singular vectors for an individual singular value .

### (Table 2) by a singular value decomposition. For the comparison of the singular

### Table 2: Weakly singular integral equation, p-version

2000

Cited by 3