Abstract
The well-known technique of exponential fitting consists of choosing free parameters in a numerical method for a system of ordinary differential equations in such a way that the method gives the exact solution when applied to the scalar test equation y′=λy, λ real. This paper considers the extension of this idea to the case of the test equation y′=Ay, y ε IR2, A a real 2×2 matrix with eigenvalues λ ± iμ, λ,μ real, with particular reference to the case when λ=0, for which the term "frequency fitting" is appropriate. Only one-step methods are considered here.
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References
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© 1978 Springer-Verlag
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Lambert, J.D. (1978). Frequency fitting in the numerical solution of ordinary differential equations. In: Ansorge, R., Törnig, W. (eds) Numerical Treatment of Differential Equations in Applications. Lecture Notes in Mathematics, vol 679. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067867
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DOI: https://doi.org/10.1007/BFb0067867
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-08940-7
Online ISBN: 978-3-540-35715-5
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