The optimal order of convergence for stable evaluation of differential operators
| dc.contributor.author | Groetsch, C. W. | |
| dc.contributor.author | Scherzer, O. | |
| dc.date.accessioned | 2018-08-16T19:23:28Z | |
| dc.date.available | 2018-08-16T19:23:28Z | |
| dc.date.issued | 1993-10-14 | |
| dc.description.abstract | An optimal order of convergence result, with respect to the error level in the data, is given for a Tikhonov-like method for approximating values of an unbounded operator. It is also shown that if the choice of parameter in the method is made by the discrepancy principle, then the order of convergence of the resulting method is suboptimal. Finally, a modified discrepancy principle leading to an optimal order of convergence is developed. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Groetsch, C. W. & Scherzer, O. (1993). The optimal order of convergence for stable evaluation of differential operators. <i>Electronic Journal of Differential Equations, 1993</i>(04), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/7538 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 1993, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Regularization | |
| dc.subject | Unbounded operator | |
| dc.subject | Optimal convergence | |
| dc.subject | Stable | |
| dc.title | The optimal order of convergence for stable evaluation of differential operators | |
| dc.type | Article |