Publicação
Discretisation of abstract linear evolution equations of parabolic type
| dc.contributor.author | Gonçalves, Fernando F. | |
| dc.contributor.author | Grossinho, Maria do Rosário | |
| dc.contributor.author | Eva, Morais | |
| dc.date.accessioned | 2023-04-17T08:59:10Z | |
| dc.date.available | 2023-04-17T08:59:10Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | We investigate the discretisation of the linear parabolic equation du/dt = A(t)u + f(t) in abstract spaces, making use of both the implicit and the explicit finite-difference schemes. The stability of the explicit scheme is obtained, and the schemes’ rates of convergence are estimated. Additionally, we study the special cases where A and f are approximated by integral averages and also by weighted arithmetic averages. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | Gonçalves, Fernando F., Maria do Rosário Grossinho and Eva Morais . (2012). “Discretisation of abstract linear evolution equations of parabolic type”. Advances in Difference Equations Vol. 1: pp 1-29. | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.5/27632 | |
| dc.language.iso | eng | pt_PT |
| dc.publisher | A SpringerOpen Journal | pt_PT |
| dc.subject | Parabolic Evolution Equations | pt_PT |
| dc.subject | Finite-difference Methods | pt_PT |
| dc.subject | Financial Mathematics | pt_PT |
| dc.title | Discretisation of abstract linear evolution equations of parabolic type | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |