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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Time domain boundary integral equations and convolution quadrature for scattering by composite media
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by Alexander Rieder, Francisco–Javier Sayas and Jens Markus Melenk HTML | PDF
Math. Comp. 91 (2022), 2165-2195 Request permission

Abstract:

We consider acoustic scattering in heterogeneous media with piecewise constant wave number. The discretization is carried out using a Galerkin boundary element method in space and Runge-Kutta convolution quadrature in time. We prove well-posedness of the scheme and provide a priori estimates for the convergence in space and time.
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Additional Information
  • Alexander Rieder
  • Affiliation: Institut für Analysis und Scientific Computing, TU Wien, 1040 Vienna, Austria
  • MR Author ID: 1126143
  • ORCID: 0000-0003-2144-7648
  • Email: alexander.rieder@tuwien.ac.at
  • Jens Markus Melenk
  • Affiliation: Institut für Analysis und Scientific Computing, TU Wien, 1040 Vienna, Austria
  • MR Author ID: 613978
  • ORCID: 0000-0001-9024-6028
  • Email: melenk@tuwien.ac.at
  • Received by editor(s): October 27, 2020
  • Received by editor(s) in revised form: September 17, 2021, September 20, 2021, and January 21, 2022
  • Published electronically: June 7, 2022
  • Additional Notes: This work was financially supported by the Austrian Science Fund (FWF) through the projects P29197-N32, P33477, W1245 and SFB65 (A.R.) and project P28367-N35 (J.M.M). The second author was partially supported by NSF-DMS grant 1818867. Part of this work was developed while the second author was a Visiting Professor at the TUW
  • © Copyright 2022 American Mathematical Society
  • Journal: Math. Comp. 91 (2022), 2165-2195
  • MSC (2020): Primary 65N38, 65M60, 65R20, 65N15, 65N12
  • DOI: https://doi.org/10.1090/mcom/3730
  • MathSciNet review: 4451459