The residual and the error for collocation methods
We use earlier results on collocation matrices related to the solution and its derivatives in describing asymptotic relation between the error on the highest derivative and the residuals. That justifies the use of the form of the residual rather than its norm in measuring the error.
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201003490 |
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| Summary: | We use earlier results on collocation matrices related to the
solution and its derivatives in describing asymptotic relation
between the error on the highest derivative and the residuals. That
justifies the use of the form of the residual rather than its norm
in measuring the error. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |