Academic Journal
Multivalue second derivative collocation methods
| العنوان: | Multivalue second derivative collocation methods |
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| المؤلفون: | Abdi A., Conte D., D'Ambrosio R., Paternoster B. |
| المساهمون: | Abdi, A., Conte, D., D'Ambrosio, R., Paternoster, B. |
| سنة النشر: | 2022 |
| مصطلحات موضوعية: | Collocation method, General linear method, Multivalue method, Second derivative method, Stiff problems |
| الوصف: | We introduce multivalue second derivative collocation methods for the numerical solution of stiff ordinary differential equations, also arising from the spatial discretization of time dependent partial differential equations. The uniform order of convergence of the methods is discussed and continuous order conditions are derived. We construct methods of orders up to eight with desirable stability properties. Numerical experiments are given, validating the theoretical results and illustrating the efficiency and capability of the proposed methods in solving stiff problems without any reduction of the order of convergence, unlike A–stable Runge–Kutta methods. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | ELETTRONICO |
| اللغة: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/wos/WOS:000859334200005; volume:182; firstpage:344; lastpage:355; numberofpages:12; journal:APPLIED NUMERICAL MATHEMATICS; https://hdl.handle.net/11386/4809378; info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85138442857 |
| DOI: | 10.1016/j.apnum.2022.08.011 |
| الاتاحة: | https://hdl.handle.net/11386/4809378 https://doi.org/10.1016/j.apnum.2022.08.011 |
| رقم الانضمام: | edsbas.37BE0E57 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1016/j.apnum.2022.08.011 |
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