Smoothing the extrapolated midpoint rule

Autor:	Lorraine S. Baca, Lawrence F. Shampine
Rok vydání:	1983
Předmět:	Computational Mathematics Differential equation Applied Mathematics Ordinary differential equation Numerical analysis Bulirsch–Stoer algorithm MathematicsofComputing_NUMERICALANALYSIS Extrapolation Initial value problem Midpoint method Algorithm Smoothing Mathematics
Zdroj:	Numerische Mathematik. 41:165-175
ISSN:	0945-3245 0029-599X
DOI:	10.1007/bf01390211
Popis:	The extrapolated midpoint rule is a popular way to solve the initial value problem for a system of ordinary differential equations. As originally formulated by Gragg, the results are smoothed to remove the weak instability of the midpoint rule. It is shown that this smoothing is not necessary. A cheaper smoothing scheme is proposed. A way to exploit smoothing to increase the robustness of extrapolation codes is formulated.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::01c62c5f6934c29ac24705d14be91edd https://doi.org/10.1007/bf01390211 Zobrazit plný text záznamu Full text from SpringerLink