A symplectic structure preserved by the trapezoidal rule
- Author
- TAM, H. W1 ; WANG, Dao Liu2
[1] Department of Computer Science, Hong Kong Baptist University, Kowloon, Hong-Kong
[2] State Key Lab of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific Engineering Computing, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, P.O. Box 2719, Beijing, 100080, China - Source
Journal of the Physical Society of Japan. = Nihon Butsuri Gakkai ōji hōkoku. 2003, Vol 72, Num 9, pp 2193-2197, 5 p ; ref : 11 ref
- CODEN
- JUPSAU
- ISSN
- 0031-9015
- Scientific domain
- Crystallography; Mechanics acoustics; Condensed state physics; Theoretical physics
- Publisher
- Institute of Pure and Applied Physics, Tokyo
/
Physical Society of Japan, Tokyo
- Publication country
- Japan
- Document type
- Article
- Language
- English
- Author keyword
- Richardson's extrapolation symplectic structure trapezoidal rule
- Keyword (fr)
- Méthode numérique Méthode trapèze Physique mathématique Système autonome Système dynamique Système hamiltonien Extrapolation Richardson Structure symplectique
- Keyword (en)
- Numerical method Trapezoidal method Mathematical physics Autonomous system Dynamical system Hamiltonian system Richardson extrapolation Symplectic structure
- Keyword (es)
- Método numérico Método trapezoide Física matemática Sistema autónomo Sistema dinámico Sistema hamiltoniano
- Classification
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02E Mathematical analysis / 001A02E11 Approximations and expansions
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02G Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds / 001A02G04 Global analysis, analysis on manifolds
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02I Numerical analysis. Scientific computation / 001A02I01 Numerical analysis / 001A02I01D Numerical approximation
- Discipline
- Mathematics
- Origin
- Inist-CNRS
- Database
- PASCAL
- INIST identifier
- 15230813
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
10.1143/JPSJ.72.2193 
https://dx.doi.org/10.1143/JPSJ.72.2193
"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:20:\"10.1143\/JPSJ.72.2193\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:56:\"A symplectic structure preserved by the trapezoidal rule\";s:9:\"\u0000*\u0000jtitle\";s:40:\"Journal of the Physical Society of Japan\";s:9:\"\u0000*\u0000stitle\";s:17:\"J. Phys. Soc. Jpn\";s:7:\"\u0000*\u0000date\";s:4:\"2003\";s:9:\"\u0000*\u0000volume\";s:2:\"72\";s:8:\"\u0000*\u0000issue\";s:1:\"9\";s:8:\"\u0000*\u0000spage\";s:4:\"2193\";s:8:\"\u0000*\u0000epage\";s:4:\"2197\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0031-9015\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:3:\"TAM\";s:10:\"\u0000*\u0000aufirst\";s:4:\"H. W\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:1:{i:0;s:13:\"WANG, Dao Liu\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"JUPSAU\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:56:\"A symplectic structure preserved by the trapezoidal rule\";s:8:\"\u0000*\u0000place\";s:5:\"Tokyo\";s:6:\"\u0000*\u0000pub\";s:37:\"Institute of Pure and Applied Physics\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:1:\"5\";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:20:\"10.1143\/JPSJ.72.2193\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:56:\"A symplectic structure preserved by the trapezoidal rule\";s:9:\"\u0000*\u0000jtitle\";s:40:\"Journal of the Physical Society of Japan\";s:9:\"\u0000*\u0000stitle\";s:17:\"J. Phys. Soc. Jpn\";s:7:\"\u0000*\u0000date\";s:4:\"2003\";s:9:\"\u0000*\u0000volume\";s:2:\"72\";s:8:\"\u0000*\u0000issue\";s:1:\"9\";s:8:\"\u0000*\u0000spage\";s:4:\"2193\";s:8:\"\u0000*\u0000epage\";s:4:\"2197\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0031-9015\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:3:\"TAM\";s:10:\"\u0000*\u0000aufirst\";s:4:\"H. W\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:1:{i:0;s:13:\"WANG, Dao Liu\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"JUPSAU\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:56:\"A symplectic structure preserved by the trapezoidal rule\";s:8:\"\u0000*\u0000place\";s:5:\"Tokyo\";s:6:\"\u0000*\u0000pub\";s:37:\"Institute of Pure and Applied Physics\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:1:\"5\";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:20:\"10.1143\/JPSJ.72.2193\";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:20:\"10.1143\/JPSJ.72.2193\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:56:\"A symplectic structure preserved by the trapezoidal rule\";s:9:\"\u0000*\u0000jtitle\";s:40:\"Journal of the Physical Society of Japan\";s:9:\"\u0000*\u0000stitle\";s:17:\"J. Phys. Soc. Jpn\";s:7:\"\u0000*\u0000date\";s:4:\"2003\";s:9:\"\u0000*\u0000volume\";s:2:\"72\";s:8:\"\u0000*\u0000issue\";s:1:\"9\";s:8:\"\u0000*\u0000spage\";s:4:\"2193\";s:8:\"\u0000*\u0000epage\";s:4:\"2197\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0031-9015\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:3:\"TAM\";s:10:\"\u0000*\u0000aufirst\";s:4:\"H. W\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:1:{i:0;s:13:\"WANG, Dao Liu\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"JUPSAU\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:56:\"A symplectic structure preserved by the trapezoidal rule\";s:8:\"\u0000*\u0000place\";s:5:\"Tokyo\";s:6:\"\u0000*\u0000pub\";s:37:\"Institute of Pure and Applied Physics\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:1:\"5\";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:20:\"10.1143\/JPSJ.72.2193\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:56:\"A symplectic structure preserved by the trapezoidal rule\";s:9:\"\u0000*\u0000jtitle\";s:40:\"Journal of the Physical Society of Japan\";s:9:\"\u0000*\u0000stitle\";s:17:\"J. Phys. Soc. Jpn\";s:7:\"\u0000*\u0000date\";s:4:\"2003\";s:9:\"\u0000*\u0000volume\";s:2:\"72\";s:8:\"\u0000*\u0000issue\";s:1:\"9\";s:8:\"\u0000*\u0000spage\";s:4:\"2193\";s:8:\"\u0000*\u0000epage\";s:4:\"2197\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0031-9015\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:3:\"TAM\";s:10:\"\u0000*\u0000aufirst\";s:4:\"H. W\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:1:{i:0;s:13:\"WANG, Dao Liu\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"JUPSAU\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:56:\"A symplectic structure preserved by the trapezoidal rule\";s:8:\"\u0000*\u0000place\";s:5:\"Tokyo\";s:6:\"\u0000*\u0000pub\";s:37:\"Institute of Pure and Applied Physics\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:1:\"5\";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:20:\"10.1143\/JPSJ.72.2193\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:56:\"A symplectic structure preserved by the trapezoidal rule\";s:9:\"\u0000*\u0000jtitle\";s:40:\"Journal of the Physical Society of Japan\";s:9:\"\u0000*\u0000stitle\";s:17:\"J. Phys. Soc. Jpn\";s:7:\"\u0000*\u0000date\";s:4:\"2003\";s:9:\"\u0000*\u0000volume\";s:2:\"72\";s:8:\"\u0000*\u0000issue\";s:1:\"9\";s:8:\"\u0000*\u0000spage\";s:4:\"2193\";s:8:\"\u0000*\u0000epage\";s:4:\"2197\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0031-9015\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:3:\"TAM\";s:10:\"\u0000*\u0000aufirst\";s:4:\"H. W\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:1:{i:0;s:13:\"WANG, Dao Liu\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"JUPSAU\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:56:\"A symplectic structure preserved by the trapezoidal rule\";s:8:\"\u0000*\u0000place\";s:5:\"Tokyo\";s:6:\"\u0000*\u0000pub\";s:37:\"Institute of Pure and Applied Physics\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:1:\"5\";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
