Numerical treatment of oscillatory functional differential equations
نویسندگان
چکیده
منابع مشابه
Numerical treatment of oscillatory functional differential equations
In this paper we are concerned with oscillatory functional differential equations (that is, those equations where all solutions oscillate) under numerical approximation. Our interest is in the preservation of qualitative properties of solutions under numerical discretisation. We give conditions under which an equation is oscillatory, and consider whether the discrete schemes derived using linea...
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An asymptotic theory for weakly nonlinear, highly oscillatory systems of ordinary differential equations leads to methods which are suitable for accurate computation with large time steps. The theory is developed for systems of the form Z = (A(t)/e)Z + H(Z,t). Z(0, f) = Z„, 0</< 7\0<e« 1, where the diagonal matrix A(t) has smooth, purely imaginary eigenvalues and the components of H(Z, i) are p...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2010
ISSN: 0377-0427
DOI: 10.1016/j.cam.2010.01.035