An Efficient Numerical Method for Highly Oscillatory Ordinary Differential Equations
نویسندگان
چکیده
منابع مشابه
The Accurate Numerical Solution of Highly Oscillatory Ordinary Differential Equations*
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: SIAM Journal on Numerical Analysis
سال: 1981
ISSN: 0036-1429,1095-7170
DOI: 10.1137/0718030