A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf
.
A Gautschi-type method for oscillatory second-order differential equations
1999
Numerische Mathematik
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 product of the step size with the frequencies. Our analysis also provides new insight into the
doi:10.1007/s002110050456
fatcat:3schvcowuvf6rfpw7ps5uetlgm