# Error estimates of a Fourier integrator for the cubic Schr\"odinger equation at low regularity

@inproceedings{Ostermann2019ErrorEO, title={Error estimates of a Fourier integrator for the cubic Schr\"odinger equation at low regularity}, author={A. Ostermann and Fr'ed'eric Rousset and Katharina Schratz}, year={2019} }

We present a new filtered low-regularity Fourier integrator for the cubic nonlinear Schrodinger equation based on recent time discretization and filtering techniques. For this new scheme, we perform a rigorous error analysis and establish better convergence rates at low regularity than known for classical schemes in the literature so far. In our error estimates, we combine the better local error properties of the new scheme with a stability analysis based on general discrete Strichartz-type… CONTINUE READING

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