Discrete Approximations of Cosine Operator Functions. I
Pages 1110 - 1128
Abstract
In the present paper we are concerned with the approximation of cosine operator functions which appear in a natural way in the study of the Cauchy problem for second order evolution equations. We derive both qualitative and quantitative convergence theorems characterizing the convergence of cosine operator functions in terms of their infinitesimal generators, and we discuss the impact of these results with respect to the approximate solution of the corresponding Cauchy problems.
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Index Terms
- Discrete Approximations of Cosine Operator Functions. I
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Copyright © 1982 Society for Industrial and Applied Mathematics.
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Society for Industrial and Applied Mathematics
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Published: 01 December 1982
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