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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.


Error estimates at low regularity of splitting schemes for NLS
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by Alexander Ostermann, Frédéric Rousset and Katharina Schratz HTML | PDF
Math. Comp. 91 (2022), 169-182 Request permission


We study a filtered Lie splitting scheme for the cubic nonlinear Schrödinger equation. We establish error estimates at low regularity by using discrete Bourgain spaces. This allows us to handle data in $H^s$ with $0<s<1$ overcoming the standard stability restriction to smooth Sobolev spaces with index $s>1/2$ . More precisely, we prove convergence rates of order $\tau ^{s/2}$ in $L^2$ at this level of regularity.
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Additional Information
  • Alexander Ostermann
  • Affiliation: Department of Mathematics, University of Innsbruck, Technikerstr. 13, 6020 Innsbruck, Austria
  • MR Author ID: 134575
  • ORCID: 0000-0003-0194-2481
  • Email:
  • Frédéric Rousset
  • Affiliation: Université Paris-Saclay, CNRS, Laboratoire de Mathématiques d’Orsay (UMR 8628), 91405 Orsay Cedex, France
  • Email:
  • Katharina Schratz
  • Affiliation: LJLL (UMR 7598), Sorbonne Université, UPMC, 4 place Jussieu, 75005 Paris, France
  • MR Author ID: 990639
  • Email:
  • Received by editor(s): December 27, 2020
  • Received by editor(s) in revised form: April 23, 2021
  • Published electronically: August 5, 2021
  • Additional Notes: The third author received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 850941).
  • © Copyright 2021 American Mathematical Society
  • Journal: Math. Comp. 91 (2022), 169-182
  • MSC (2020): Primary 65M12, 65M70, 35Q41
  • DOI:
  • MathSciNet review: 4350536