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Low-regularity and high oscillations: numerical analysis and computation of dispersive evolution equations

Publications

Error estimates at low regularity of splitting schemes for NLS

Author(s): Alexander Ostermann, Frédéric Rousset, Katharina Schratz
Published in: Mathematics of Computation, 2021, Page(s) 1, ISSN 0025-5718
Publisher: American Mathematical Society
DOI: 10.1090/mcom/3676

Low-regularity integrators for nonlinear Dirac equations

Author(s): Katharina Schratz, Yan Wang and Xiaofei Zhao
Published in: Mathematics of Computation, 2020, ISSN 0025-5718
Publisher: American Mathematical Society
DOI: 10.1090/mcom/3557

Asymptotic preserving trigonometric integrators for the quantum Zakharov system

Author(s): Simon Baumstark, Katharina Schratz
Published in: BIT Numerical Mathematics, 61/1, 2021, Page(s) 61-81, ISSN 0006-3835
Publisher: Lunds Universitet
DOI: 10.1007/s10543-020-00815-2

Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity

Author(s): Alexander Ostermann, Frédéric Rousset, Katharina Schratz
Published in: Foundations of Computational Mathematics, 21/3, 2021, Page(s) 725-765, ISSN 1615-3375
Publisher: Springer Verlag
DOI: 10.1007/s10208-020-09468-7

A General Framework of Low Regularity Integrators

Author(s): Frédéric Rousset and Katharina Schratz
Published in: SIAM Journal on Numerical Analysis, 2021, ISSN 0036-1429
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1371506