Solution of Ordinary Differential Equations Using Two 'Off-Step' Points

Autor:	J. J. Kohfeld, D. G. Brush, G. T. Thompson
Rok vydání:	1967
Předmět:	Artificial Intelligence Hardware and Architecture Control and Systems Engineering Truncation error (numerical integration) Ordinary differential equation Mathematical analysis Point (geometry) Interval (mathematics) NonStop Degree (music) Software Information Systems Mathematics
Zdroj:	Journal of the ACM. 14:769-784
ISSN:	1557-735X 0004-5411
Popis:	In a previous paper the authors suggested that the accurate correctors proposed by Gragg and Stetter for solving ordinary differential equations should be accompanied by similar predictors. In each method in that paper the corrector and one of the predictors use one “nonstop” point within the interval of integration. In the present paper a corrector is dealt with in which two “nonstep” points are used, and in which, to some degree, the authors have “balanced” the contributions of the errors in the predictors to the total local truncation error, a technique due to Butcher.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7c7cc587da913bf39fbf0b52fac03ae5 https://doi.org/10.1145/321420.321436 Zobrazit plný text záznamu