Gradient Method in Sobolev Spaces for Nonlocal Boundary-value Problems
| dc.contributor.author | Karatson, Janos | |
| dc.date.accessioned | 2019-12-18T19:49:04Z | |
| dc.date.available | 2019-12-18T19:49:04Z | |
| dc.date.issued | 2000-06-30 | |
| dc.description.abstract | An infinite-dimensional gradient method is proposed for the numerical solution of nonlocal quasilinear boundary-value problems. The iteration is executed for the boundary-value problem itself (i.e. on the continuous level) in the corresponding Sobolev space, reducing the nonlinear boundary-value problem to auxiliary linear problems. We extend earlier results concerning local (Dirichlet) boundary-value problems. We show linear convergence of our method, and present a numerical example. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 17 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Karatson, J. (2000). Gradient method in Sobolev spaces for nonlocal boundary-value problems. <i>Electronic Journal of Differential Equations, 2000</i>(51), pp. 1-17. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/9114 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Nonlocal boundary-value problems | |
| dc.subject | Gradient method in Sobolev space | |
| dc.subject | Infinite-dimensional preconditioning | |
| dc.title | Gradient Method in Sobolev Spaces for Nonlocal Boundary-value Problems | |
| dc.type | Article |