ERC project : LAHACODE

logoljll LOGO_ERC
ERC Starting Grant : LAHACODE

Low-regularity and high oscillations: numerical analysis and
computation of dispersive evolution equations
Funding period: 2020 - 2025
(financed by the European Research Council)
Members :

Yvonne Bronsard Alama
María Cabrera Calvo
Albert Cohen
Georg Maierhofer
Katharina Schratz
Franco Zivcovich

Publications :

B. Li, S. Ma, K. Schratz A semi-implicit low-regularity integrator for Navier-Stokes equations (preprint 2021)
K. Kropielnicka, K. Lademann, K. Schratz Effective high order integrators for
low to highly oscillatory Klein-Gordon equations
(preprint 2021)
M. Cabrera Calvo, F. Rousset, K. Schratz. Time integrators for dispersive equations in the long wave regime (preprint 2021)
M. Cabrera Calvo, K. Schratz. Uniformly accurate low regularity integrators for the Klein-Gordon equation
from the classical to non-relativistic limit regime (preprint 2021)
M. Cabrera Calvo, K. Schratz. Uniformly accurate splitting schemes for the Benjamin-Bona-Mahony
equation with dispersive parameter (preprint 2021)
F. Rousset, K. Schratz. Convergence error estimates at low regularity for time discretizations of KdV (preprint 2021)
A. Iserles, K. Kropielnicka, K. Schratz, M. Webb. Solving the linear Schrödinger equation on the real line (preprint 2021)
Y. Bruned, K. Schratz. Resonance based schemes for dispersive equations via decorated trees to appear in Forum of Mathematics, Pi
A. Poulain, K. Schratz. Convergence, error analysis and longtime behavior of the Scalar Auxiliary
Variable method for the nonlinear Schrödinger equation to appear in IMA J. Numer. Anal.
A. Ostermann, F. Rousset, K. Schratz. Error estimates at low regularity of splitting schemes for NLS to appear in Math. Comp.
F. Rousset, K. Schratz. A general framework of low regularity integrators SIAM J. Numer. Anal. 59:1735-1768 (2021)
A. Ostermann, F. Rousset, K. Schratz. Fourier integrator for periodic NLS: low regularity estimates via discrete Bourgain spaces to appear in J. Eur. Math. Soc. (JEMS)
K. Schratz, Y. Wang, X. Zhao. Low-regularity integrators for nonlinear Dirac equations.
Math. Comp. 90:189-214 (2021)
A. Ostermann, F. Rousset, K. Schratz. Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity. Found. Comput. Math. 21:725-765 (2021)
S. Baumstark, K. Schratz. Asymptotic preserving integrators for the quantum Zakharov system.
doi:10.1007/s10543-020-00815-2 BIT Numer Math (2020)