×

Numerical integration of ordinary differential equations based on trigonometric polynomials. (English) Zbl 0163.39002


PDFBibTeX XMLCite
Full Text: DOI EuDML

References:

[1] Antosiewicz, H. A., andW. Gautschi: Numerical methods in ordinary differential equations, Chap. 9 of ?Survey of numerical analysis? (ed.J. Todd). New York-Toronto-London: McGraw-Hill Book Co. (in press).
[2] Brock, P., andF. J. Murray: The use of exponential sums in step by step integration. Math. Tables Aids Comput.6, 63-78 (1952). · Zbl 0046.34301 · doi:10.2307/2002545
[3] Collatz, L.: The numerical treatment of differential equations, 3rd ed. Berlin-Göttingen-Heidelberg: Springer 1960. · Zbl 0086.32601
[4] Dennis, S. C. R.: The numerical integration of ordinary differential equations possessing exponential type solutions. Proc. Cambridge Philos. Soc.56, 240-246 (1960). · Zbl 0095.31805 · doi:10.1017/S0305004100034526
[5] Urabe, M., andS. Mise: A method of numerical integration of analytic differential equations. J. Sci. Hiroshima Univ., Ser. A,19, 307-320 (1955). · Zbl 0067.35701
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.