ISSN:
0945-3245
Keywords:
Mathematics Subject Classification (1991):65L05, 65L70, 65M12, 65M20
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary. 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 second-order error bounds which are independent of the product of the step size with the frequencies. Our analysis also provides new insight into the m ollified impulse method of García-Archilla, Sanz-Serna, and Skeel. We include results of numerical experiments with the sine-Gordon equation.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002110050456
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