A Gautschi-type method for oscillatory second-order differential equations
نویسندگان
چکیده
منابع مشابه
A Gautschi-type method for oscillatory second-order differential equations
We study a numerical method for second-order differential equations in which high-frequency oscillations are generated by a linear part. For example, semilinear wave equations are of this type. The numerical scheme is based on the requirement that it solves linear problems with constant inhomogeneity exactly. We prove that the method admits secondorder error bounds which are independent of the ...
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Nonoscillatory second order differential equations always admit “special”, principal solutions. For a certain type of oscillatory equation principal pairs of solutions were introduced by Á. Elbert, F. Neuman and J. Vosmanský, Diff. Int. Equations 5 (1992), 945–960. In this paper, the notion of principal pair is extended to a wider class of oscillatory equations. Also an interesting property of ...
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ژورنال
عنوان ژورنال: Numerische Mathematik
سال: 1999
ISSN: 0029-599X,0945-3245
DOI: 10.1007/s002110050456