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

Full Text: DOI EuDML
[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