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EnglishThe numerical solution of second order ordinary differential equations with initial conditions is here approached by approximating each derivative by means of a set of finite difference schemes of high order. The stability properties of the obtained methods are discussed. Some numerical tests, reported to emphasize pros and cons of the approach, motivate possible choices on the use of these formulae.
High order finite difference schemes for the solution of second order initial value problems / AMODIO P; SETTANNI G. - In: JOURNAL OF NUMERICAL ANALYSIS,INDUSTRIAL AND APPLIED MATHEMATICS. - ISSN 1790-8140. - 5(2010), pp. 3-16.
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| Titolo: | High order finite difference schemes for the solution of second order initial value problems |
| Autori: | |
| Data di pubblicazione: | 2010 |
| Rivista: | |
| Citazione: | High order finite difference schemes for the solution of second order initial value problems / AMODIO P; SETTANNI G. - In: JOURNAL OF NUMERICAL ANALYSIS,INDUSTRIAL AND APPLIED MATHEMATICS. - ISSN 1790-8140. - 5(2010), pp. 3-16. |
| Abstract: | The numerical solution of second order ordinary differential equations with initial conditions is here approached by approximating each derivative by means of a set of finite difference schemes of high order. The stability properties of the obtained methods are discussed. Some numerical tests, reported to emphasize pros and cons of the approach, motivate possible choices on the use of these formulae. |
| Handle: | http://hdl.handle.net/11586/11899 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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