Coefficients for the study of Runge-Kutta integration processes
- 1 May 1963
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society
- Vol. 3 (2) , 185-201
- https://doi.org/10.1017/s1446788700027932
Abstract
We consider a set of η first order simultaneous differential equations in the dependent variables y1, y2, …, yn and the independent variable x ⋮ No loss of gernerality results from taking the functions f1, f2, …, fn to be independent of x, for if this were not so an additional dependent variable yn+1, anc be introduced which always equals x and thus satisfies the differential equationKeywords
This publication has 3 references indexed in Scilit:
- A process for the step-by-step integration of differential equations in an automatic digital computing machineMathematical Proceedings of the Cambridge Philosophical Society, 1951
- Aufgaben und Lehrsátze aus der Analysis. By G. Pólya and G. Szegö. Band I. pp. xvi + 338. Band II. pp. 407. 15 goldmark. (Bound, 16-50 goldmark.) 1925. (Springer, Berlin.) I. Reihen, Integralrechnung und Functionentheorie. II. Functionentheorie, Nullstellen, Polynome, Determinanten und Zahlentheorie.The Mathematical Gazette, 1926
- Ueber die numerische Aufl sung von DifferentialgleichungenMathematische Annalen, 1895