| 1. Identity statement | |
| Reference Type | Journal Article |
| Site | mtc-m16.sid.inpe.br |
| Holder Code | isadg {BR SPINPE} ibi 8JMKD3MGPCW/3DT298S |
| Identifier | 6qtX3pFwXQZsFDuKxG/EG7mv |
| Repository | sid.inpe.br/marciana/2005/01.06.09.38 (restricted access) |
| Last Update | 2006:06.05.13.17.51 (UTC) administrator |
| Metadata Repository | sid.inpe.br/marciana/2005/01.06.09.38.46 |
| Metadata Last Update | 2018:06.05.01.21.21 (UTC) administrator |
| Secondary Key | INPE-13771-PRE/8959 |
| ISSN | 1110-757X |
| Label | self-archiving-INPE-MCTI-GOV-BR |
| Citation Key | CastilhoDomiGome:2004:PsSc |
| Title | Multiscale discretization of nonlinear differential operators: pseudo-wavelet schemes  |
| Project | Análise multiescala de sinais espaço-temporais e equações diferenciais parciais / Análise numérica (Análise Wavelet) |
| Year | 2004 |
| Access Date | 2024, Apr. 28 |
| Secondary Type | PRE PI |
| Number of Files | 1 |
| Size | 687 KiB |
| 2. Context | |
| Author | 1 Castilho, José Eduardo 2 Domingues, Margarete Oliveira 3 Gomes, Sônia Maria |
| Resume Identifier | 1 2 8JMKD3MGP5W/3C9JHQP |
| Group | 1 2 LAC-INPE-MCT-BR |
| Affiliation | 1 Universidade Federal de Uberlândia (UFU) 2 Instituto Nacional de Pesquisas Espaciais, Laboratório Associado de Computação e Matemática Aplicada 3 Universidade Estadual de Campinas (UNICAMP) |
| Author e-Mail Address | 1 jecastilho@ufu.br 2 margarete@lac.inpe.br |
| e-Mail Address | margaret@lac.inpe.br |
| Journal | Journal of Applied Mathematics |
| Volume | 17 |
| Number | 2 |
| Pages | 139-177 |
| History (UTC) | 2006-06-05 13:17:51 :: jefferson -> administrator :: 2006-09-28 22:28:48 :: administrator -> jefferson :: 2008-02-19 18:16:30 :: jefferson -> administrator :: 2014-02-17 01:53:29 :: administrator -> jefferson :: 2004 2014-08-19 14:29:28 :: jefferson -> administrator :: 2004 2018-06-05 01:21:21 :: administrator -> marcelo.pazos@inpe.br :: 2004 |
| 3. Content and structure | |
| Is the master or a copy? | is the master |
| Content Stage | completed |
| Transferable | 1 |
| Content Type | External Contribution |
| Version Type | publisher |
| Keywords | COMPUTER SCIENCE Multiscale approximation Nonlinear operators Wavelet analysis COMPUTAÇÃO APLICADA Aproximação de multiescala Operação não-linear Análise Wavelet |
| Abstract | This paper is devoted to the analysis of multiscale approximation schemes in the context of multiresolution analysis. We have particular interest in expansions where the approximation strategies are obtained in terms of discrete convolutions of function point values with some specific weights. In the first part, three cases are considered: interpolation, quasi-interpolation and discrete projection. Some aspects are analyzed, such as algorithm of construction, accuracy, and alternative multiscale implementations. The second part is dedicated to hybrid formulations for the discretization of nonlinear differential operators. The idea is to combine two different approximation shcemes: one is used for functions or linear terms; another one, defined in terms of function point values, is used for nonlinear operations. In a multilevel setting, a pseudo-wavelet representation is introduced by means of the alternative multiscale algorithms. Taking the bilinear advection operator as a model, we estabilish the consistency of the discretizations in terms of the order of the truncation error. |
| Area | COMP |
| Arrangement | Multiscale discretization of... |
| doc Directory Content | access |
| source Directory Content | there are no files |
| agreement Directory Content | there are no files |
| 4. Conditions of access and use | |
| Language | en |
| Target File | castilho-multiscale.pdf |
| User Group | administrator jefferson marcelo.pazos@inpe.br |
| Visibility | shown |
| Copy Holder | SID/SCD |
| Archiving Policy | denypublisher allowfinaldraft |
| Read Permission | deny from all and allow from 150.163 |
| Update Permission | not transferred |
| 5. Allied materials | |
| Next Higher Units | 8JMKD3MGPCW/3ESGTTP |
| Dissemination | WEBSCI; PORTALCAPES. |
| Host Collection | sid.inpe.br/banon/2003/08.15.17.40 |
| 6. Notes | |
| Empty Fields | alternatejournal archivist callnumber copyright creatorhistory descriptionlevel doi format isbn lineage mark mirrorrepository month nextedition notes orcid parameterlist parentrepositories previousedition previouslowerunit progress readergroup rightsholder schedulinginformation secondarydate secondarymark session shorttitle sponsor subject tertiarymark tertiarytype typeofwork url |
| 7. Description control | |
| e-Mail (login) | marcelo.pazos@inpe.br |
| update | |