A super-attainable order in collocation methods for differential equations with proportional delay
- Author
- ISHIWATA, Emiko1 ; MUROYA, Yoshiaki2 ; BRUNNER, Hermann3
[1] Department of Mathematical Information Science, Tokyo University of Science, Tokyo 162-8601, Japan
[2] Department of Mathematical Sciences, Waseda University, Tokyo 169-8555, Japan
[3] Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's Newfoundland, A1C5S7, Canada - Source
Applied mathematics and computation. 2008, Vol 198, Num 1, pp 227-236, 10 p ; ref : 9 ref
- CODEN
- AMHCBQ
- ISSN
- 0096-3003
- Scientific domain
- Control theory, operational research; Computer science; Mathematics
- Publisher
- Elsevier, New York, NY
- Publication country
- United States
- Document type
- Article
- Language
- English
- Author keyword
- Collocation methods Delay differential equations Proportional delay Super-attainable order
- Keyword (fr)
- Analyse numérique Convergence méthode numérique Equation différentielle Equation à retard Maillage Mathématiques appliquées Méthode collocation 34XX Superconvergence
- Keyword (en)
- Numerical analysis Convergence of numerical methods Differential equation Delay equation Grid pattern Applied mathematics Collocation method
- Keyword (es)
- Análisis numérico Ecuación diferencial Ecuación retardada Celdarada Matemáticas aplicadas Método colocación
- Classification
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02E Mathematical analysis / 001A02E07 Ordinary differential equations
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02I Numerical analysis. Scientific computation / 001A02I01 Numerical analysis
- Discipline
- Mathematics
- Origin
- Inist-CNRS
- Database
- PASCAL
- INIST identifier
- 20205406
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Access to the document
Install on your browser
DOI
10.1016/j.amc.2007.08.078 
https://dx.doi.org/10.1016/j.amc.2007.08.078
"O:13:\"PanistOpenUrl\":36:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000idc\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:25:\"10.1016\/j.amc.2007.08.078\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:98:\"A super-attainable order in collocation methods for differential equations with proportional delay\";s:9:\"\u0000*\u0000jtitle\";s:35:\"Applied mathematics and computation\";s:9:\"\u0000*\u0000stitle\";s:18:\"Appl. math. comput\";s:7:\"\u0000*\u0000date\";s:4:\"2008\";s:9:\"\u0000*\u0000volume\";s:3:\"198\";s:8:\"\u0000*\u0000issue\";s:1:\"1\";s:8:\"\u0000*\u0000spage\";s:3:\"227\";s:8:\"\u0000*\u0000epage\";s:3:\"236\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0096-3003\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:8:\"ISHIWATA\";s:10:\"\u0000*\u0000aufirst\";s:5:\"Emiko\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:2:{i:0;s:16:\"MUROYA, Yoshiaki\";i:1;s:16:\"BRUNNER, Hermann\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"AMHCBQ\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:98:\"A super-attainable order in collocation methods for differential equations with proportional delay\";s:8:\"\u0000*\u0000place\";s:12:\"New York, NY\";s:6:\"\u0000*\u0000pub\";s:8:\"Elsevier\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:2:\"10\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
Panist access
"O:12:\"IstexOpenUrl\":35:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:25:\"10.1016\/j.amc.2007.08.078\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:98:\"A super-attainable order in collocation methods for differential equations with proportional delay\";s:9:\"\u0000*\u0000jtitle\";s:35:\"Applied mathematics and computation\";s:9:\"\u0000*\u0000stitle\";s:18:\"Appl. math. comput\";s:7:\"\u0000*\u0000date\";s:4:\"2008\";s:9:\"\u0000*\u0000volume\";s:3:\"198\";s:8:\"\u0000*\u0000issue\";s:1:\"1\";s:8:\"\u0000*\u0000spage\";s:3:\"227\";s:8:\"\u0000*\u0000epage\";s:3:\"236\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0096-3003\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:8:\"ISHIWATA\";s:10:\"\u0000*\u0000aufirst\";s:5:\"Emiko\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:2:{i:0;s:16:\"MUROYA, Yoshiaki\";i:1;s:16:\"BRUNNER, Hermann\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"AMHCBQ\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:98:\"A super-attainable order in collocation methods for differential equations with proportional delay\";s:8:\"\u0000*\u0000place\";s:12:\"New York, NY\";s:6:\"\u0000*\u0000pub\";s:8:\"Elsevier\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:2:\"10\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
Istex access
"O:16:\"UnpaywallOpenUrl\":35:{s:8:\"\u0000*\u0000email\";s:27:\"assistance-portail@inist.fr\";s:6:\"\u0000*\u0000fmt\";N;s:6:\"\u0000*\u0000doi\";s:25:\"10.1016\/j.amc.2007.08.078\";s:6:\"\u0000*\u0000pii\";N;s:7:\"\u0000*\u0000pmid\";N;s:9:\"\u0000*\u0000atitle\";N;s:9:\"\u0000*\u0000jtitle\";N;s:9:\"\u0000*\u0000stitle\";N;s:7:\"\u0000*\u0000date\";N;s:9:\"\u0000*\u0000volume\";N;s:8:\"\u0000*\u0000issue\";N;s:8:\"\u0000*\u0000spage\";N;s:8:\"\u0000*\u0000epage\";N;s:8:\"\u0000*\u0000pages\";N;s:7:\"\u0000*\u0000issn\";N;s:8:\"\u0000*\u0000eissn\";N;s:9:\"\u0000*\u0000aulast\";N;s:10:\"\u0000*\u0000aufirst\";N;s:9:\"\u0000*\u0000auinit\";N;s:10:\"\u0000*\u0000auinitm\";N;s:5:\"\u0000*\u0000au\";N;s:9:\"\u0000*\u0000aucorp\";N;s:7:\"\u0000*\u0000isbn\";N;s:8:\"\u0000*\u0000coden\";N;s:8:\"\u0000*\u0000genre\";N;s:7:\"\u0000*\u0000part\";N;s:9:\"\u0000*\u0000btitle\";N;s:8:\"\u0000*\u0000title\";N;s:8:\"\u0000*\u0000place\";N;s:6:\"\u0000*\u0000pub\";N;s:10:\"\u0000*\u0000edition\";N;s:9:\"\u0000*\u0000tpages\";N;s:9:\"\u0000*\u0000series\";N;s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";N;}"
Unpaywall access
"O:16:\"EuropePMCOpenUrl\":35:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:25:\"10.1016\/j.amc.2007.08.078\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:98:\"A super-attainable order in collocation methods for differential equations with proportional delay\";s:9:\"\u0000*\u0000jtitle\";s:35:\"Applied mathematics and computation\";s:9:\"\u0000*\u0000stitle\";s:18:\"Appl. math. comput\";s:7:\"\u0000*\u0000date\";s:4:\"2008\";s:9:\"\u0000*\u0000volume\";s:3:\"198\";s:8:\"\u0000*\u0000issue\";s:1:\"1\";s:8:\"\u0000*\u0000spage\";s:3:\"227\";s:8:\"\u0000*\u0000epage\";s:3:\"236\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0096-3003\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:8:\"ISHIWATA\";s:10:\"\u0000*\u0000aufirst\";s:5:\"Emiko\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:2:{i:0;s:16:\"MUROYA, Yoshiaki\";i:1;s:16:\"BRUNNER, Hermann\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"AMHCBQ\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:98:\"A super-attainable order in collocation methods for differential equations with proportional delay\";s:8:\"\u0000*\u0000place\";s:12:\"New York, NY\";s:6:\"\u0000*\u0000pub\";s:8:\"Elsevier\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:2:\"10\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
Europe PubMed Central access
"O:11:\"BaseOpenUrl\":35:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:25:\"10.1016\/j.amc.2007.08.078\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:98:\"A super-attainable order in collocation methods for differential equations with proportional delay\";s:9:\"\u0000*\u0000jtitle\";s:35:\"Applied mathematics and computation\";s:9:\"\u0000*\u0000stitle\";s:18:\"Appl. math. comput\";s:7:\"\u0000*\u0000date\";s:4:\"2008\";s:9:\"\u0000*\u0000volume\";s:3:\"198\";s:8:\"\u0000*\u0000issue\";s:1:\"1\";s:8:\"\u0000*\u0000spage\";s:3:\"227\";s:8:\"\u0000*\u0000epage\";s:3:\"236\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0096-3003\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:8:\"ISHIWATA\";s:10:\"\u0000*\u0000aufirst\";s:5:\"Emiko\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:2:{i:0;s:16:\"MUROYA, Yoshiaki\";i:1;s:16:\"BRUNNER, Hermann\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"AMHCBQ\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:98:\"A super-attainable order in collocation methods for differential equations with proportional delay\";s:8:\"\u0000*\u0000place\";s:12:\"New York, NY\";s:6:\"\u0000*\u0000pub\";s:8:\"Elsevier\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:2:\"10\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
Base Search access
"O:12:\"ArXivOpenUrl\":35:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:25:\"10.1016\/j.amc.2007.08.078\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:98:\"A super-attainable order in collocation methods for differential equations with proportional delay\";s:9:\"\u0000*\u0000jtitle\";s:35:\"Applied mathematics and computation\";s:9:\"\u0000*\u0000stitle\";s:18:\"Appl. math. comput\";s:7:\"\u0000*\u0000date\";s:4:\"2008\";s:9:\"\u0000*\u0000volume\";s:3:\"198\";s:8:\"\u0000*\u0000issue\";s:1:\"1\";s:8:\"\u0000*\u0000spage\";s:3:\"227\";s:8:\"\u0000*\u0000epage\";s:3:\"236\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0096-3003\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:8:\"ISHIWATA\";s:10:\"\u0000*\u0000aufirst\";s:5:\"Emiko\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:2:{i:0;s:16:\"MUROYA, Yoshiaki\";i:1;s:16:\"BRUNNER, Hermann\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"AMHCBQ\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:98:\"A super-attainable order in collocation methods for differential equations with proportional delay\";s:8:\"\u0000*\u0000place\";s:12:\"New York, NY\";s:6:\"\u0000*\u0000pub\";s:8:\"Elsevier\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:2:\"10\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
arXiv access
