imprint:
Springer Science and Business Media LLC, 2021
Published in:Partial Differential Equations and Applications
Language:
English
DOI:
10.1007/s42985-020-00045-9
ISSN:
2662-2963;
2662-2971
Origination:
Footnote:
Description:
<jats:title>Abstract</jats:title><jats:p>In this paper we introduce a class of second-order exponential schemes for the time integration of semilinear wave equations. They are constructed such that the established error bounds only depend on quantities obtained from a well-posedness result of a classical solution. To compensate missing regularity of the solution the proofs become considerably more involved compared to a standard error analysis. Key tools are appropriate filter functions as well as the integration-by-parts and summation-by-parts formulas. We include numerical examples to illustrate the advantage of the proposed methods.</jats:p>