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Table 2 Example 2 : Numerical results for \(\pmb{p=1}\)

From: Wavelet multilevel augmentation method for linear boundary value problems

n

\(\boldsymbol {\dim S_{n}}\)

\(\boldsymbol {\|u-u_{n}\|}\)

\(\boldsymbol {\|u-u_{1,n-1}\|}\)

\(\boldsymbol {\|u-u_{2,n-2}\|}\)

\(\boldsymbol {\|u-u_{3,n-3}\|}\)

2

3

1.6427

   

3

7

0.6045

0.6458

  

4

15

0.2424

0.2488

0.2494

 

5

31

0.1124

0.1162

0.1162

0.1170

6

63

0.0589

0.0607

0.0607

0.0606

7

127

0.0309

0.0325

0.0325

0.0325

8

255

0.0154

0.0161

0.0161

0.0161

9

511

0.0085

0.0087

0.0087

0.0087