| 1. Identity statement | |
| Reference Type | Journal Article |
| Site | mtc-m16d.sid.inpe.br |
| Holder Code | isadg {BR SPINPE} ibi 8JMKD3MGPCW/3DT298S |
| Identifier | 8JMKD3MGP7W/37JTAC5 |
| Repository | sid.inpe.br/mtc-m19@80/2010/06.01.14.11 (restricted access) |
| Last Update | 2010:06.01.14.11.11 (UTC) administrator |
| Metadata Repository | sid.inpe.br/mtc-m19@80/2010/06.01.14.11.12 |
| Metadata Last Update | 2018:06.05.04.36.42 (UTC) administrator |
| Secondary Key | INPE--PRE/ |
| DOI | 10.1016/j.cam.2010.02.035 |
| ISSN | 0377-0427 |
| Citation Key | DominguesFeGoGoPePi:2010:GrStIm |
| Title | Grid structure impact in sparse point representation of derivatives  |
| Year | 2010 |
| Month | Aug. |
| Access Date | 2024, Apr. 27 |
| Secondary Type | PRE PI |
| Number of Files | 1 |
| Size | 1033 KiB |
| 2. Context | |
| Author | 1 Domingues, Margarete de Oliveira 2 Ferreira, Paulo J. S. G. 3 Gomes, Sônia M. 4 Gomide, Anamaria 5 Pereira, José R. 6 Pinho, Pedro |
| Group | 1 LAC-CTE-INPE-MCT-BR |
| Affiliation | 1 Instituto Nacional de Pesquisas Espaciais (INPE) 2 Universidade de Aveiro 3 Universidade Estadual de Campinas 4 Universidade Estatual de Campinas 5 Universidade de Aveiro 6 Campus Universitário de Santiago |
| Journal | Journal of Computational and Applied Mathematics |
| Volume | 234 |
| Number | 8 |
| Pages | 2377-2389 |
| Secondary Mark | A2_CIÊNCIA_DA_COMPUTAÇÃO A2_ENGENHARIAS_III B1_ENGENHARIAS_IV B1_GEOCIÊNCIAS A1_INTERDISCIPLINAR A2_MATEMÁTICA_/_PROBABILIDADE_E_ESTATÍSTICA |
| History (UTC) | 2010-07-05 14:54:45 :: simone -> marciana :: 2010 2011-09-13 11:21:19 :: marciana -> administrator :: 2010 2018-06-05 04:36:42 :: administrator -> marciana :: 2010 |
| 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 | Wavelets Multiresolution analysis Adaptivity Sparse grids Finite differences Consistency analysis |
| Abstract | In the Sparse Point Representation (SPR) method the principle is to retain the function data indicated by significant interpolatory wavelet coefficients, which are defined as interpolation errors by means of an interpolating subdivision scheme. Typically, a SPR grid is coarse in smooth regions, and refined close to irregularities. Furthermore, the computation of partial derivatives of a function from the information of its SPR content is performed in two steps. The first one is a refinement procedure to extend the SPR by the inclusion of new interpolated point values in a security zone. Then, for points in the refined grid, such derivatives are approximated by uniform finite differences, using a step size proportional to each point local scale. If required neighboring stencils are not present in the grid, the corresponding missing point values are approximated from coarser scales using the interpolating subdivision scheme. Using the cubic interpolation subdivision scheme, we demonstrate that such adaptive finite differences can be formulated in terms of a collocation scheme based on the wavelet expansion associated to the SPR. For this purpose, we prove some results concerning the local behavior of such wavelet reconstruction operators, which stand for SPR grids having appropriate structures. This statement implies that the adaptive finite difference scheme and the one using the step size of the finest level produce the same result at SPR grid points. Consequently, in addition to the refinement strategy, our analysis indicates that some care must be taken concerning the grid structure, in order to keep the truncation error under a certain accuracy limit. Illustrating results are presented for 2D Maxwells equation numerical solutions. |
| Area | COMP |
| Arrangement | urlib.net > BDMCI > Fonds > Produção anterior à 2021 > LABAC > Grid structure impact... |
| 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 | grid structure.pdf |
| User Group | administrator marciana simone |
| Visibility | shown |
| Archiving Policy | denypublisher denyfinaldraft24 |
| Read Permission | deny from all and allow from 150.163 |
| Update Permission | not transferred |
| 5. Allied materials | |
| Mirror Repository | sid.inpe.br/mtc-m19@80/2009/08.21.17.02.53 |
| Next Higher Units | 8JMKD3MGPCW/3ESGTTP |
| Dissemination | WEBSCI; PORTALCAPES. |
| Host Collection | sid.inpe.br/mtc-m19@80/2009/08.21.17.02 |
| 6. Notes | |
| Empty Fields | alternatejournal archivist callnumber copyholder copyright creatorhistory descriptionlevel e-mailaddress electronicmailaddress format isbn label lineage mark nextedition notes orcid parameterlist parentrepositories previousedition previouslowerunit progress project readergroup resumeid rightsholder schedulinginformation secondarydate session shorttitle sponsor subject tertiarymark tertiarytype typeofwork url |
| 7. Description control | |
| e-Mail (login) | marciana |
| update | |