Please use this identifier to cite or link to this item:
http://dspace.mediu.edu.my:8181/xmlui/handle/1721.1/3995| Title: | Bounds on Linear PDEs via Semidefinite Optimization |
| Keywords: | moment problems semidefinite optimization linear partial differential equations |
| Issue Date: | 9-Oct-2013 |
| Description: | Using recent progress on moment problems, and their connections with semidefinite optimization, we present in this paper a new methodology based on semidefinite optimization, to obtain a hierarchy of upper and lower bounds on both linear and certain nonlinear functionals defined on solutions of linear partial differential equations. We apply the proposed methods to examples of PDEs in one and two dimensions with very encouraging results. We also provide computation evidence that the semidefinite constraints are critically important in improving the quality of the bounds, that is without them the bounds are weak. Singapore-MIT Alliance (SMA) |
| URI: | http://koha.mediu.edu.my:8181/xmlui/handle/1721 |
| Other Identifiers: | http://hdl.handle.net/1721.1/3995 |
| Appears in Collections: | MIT Items |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.