Differential equations with symbolic computation
This book provides a picture of what can be done in di?erential equations with advanced methods and software tools of symbolic computation. It focuses on the symbolic-computational aspect of three kinds offundamental problems in di?- ential equations: transforming the equations, solving the equation...
محفوظ في:
| المؤلف الرئيسي: | |
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| مؤلفون آخرون: | , |
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| الطبعة: | 1st ed. 2005. |
| سلاسل: | Trends in Mathematics
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| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Differential equations with symbolic computation, Dongming Wang, Zhiming Zheng, editors, Basel, Birkhäuser, 2005, 1 vol. (VIII-374 p.), Trends in mathematics, 3-7643-7368-7 • Differential Equations with Symbolic Computation, Texte imprimé, 9783764390938 • Differential equations with symbolic computation, Dongming Wang, Zhiming Zheng, editors, Basel, Birkhäuser, 2005, 1 vol. (VIII-374 p.), Trends in mathematics, 3-7643-7368-7 |
| الملخص: | This book provides a picture of what can be done in di?erential equations with advanced methods and software tools of symbolic computation. It focuses on the symbolic-computational aspect of three kinds offundamental problems in di?- ential equations: transforming the equations, solving the equations, and studying the structure and properties of their solutions. Modern research on these pr- lems using symbolic computation, or more restrictively using computer algebra, has become increasingly active since the early 1980s when e?ective algorithms for symbolic solution of di?erential equations were proposed, and so were c- puter algebra systems successfully applied to perturbation, bifurcation, and other problems. Historically, symbolic integration, the simplest case of solving ordinary di?erential equations,was alreadythe targetof the ?rst computer algebrapackage SAINT in the early 1960s. With 20 chapters, the book is structured into three parts with both tutorial surveys and original research contributions: the ?rst part is devoted to the qua- tative study of di?erential systems with symbolic computation, including stability analysis, establishment of center conditions, and bifurcation of limit cycles, which are closely related to Hilbert s sixteenth problem. The second part is concerned with symbolic solutions of ordinary and partial di?erential equations, for which normal form methods, reduction and factorization techniques, and the compu- tion of conservation laws are introduced and used to aid the search. The last part isconcentratedonthetransformationofdi?erentialequationsintosuchforms that are better suited for further study and application |
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| وصف المادة: | Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ردمك: | 9783764374297 |
| تدمد: | 2297-024X |
| وصول: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |