Katharina Schratz

发表

A Fourier Integrator for the Cubic Nonlinear Schrödinger Equation with Rough Initial Data

Alexander Ostermann, Marvin Knöller, Katharina Schratz, 2018, SIAM J. Numer. Anal..

Convergence, error analysis and longtime behavior of the Scalar Auxiliary Variable method for the nonlinear Schrödinger equation pdf

Katharina Schratz, Alexandre Poulain, Katharina Schratz, 2020, ArXiv.

Low-regularity integrators for nonlinear Dirac equations pdf

Yan Wang, Xiaofei Zhao, Katharina Schratz, 2019, Math. Comput..

Fourier integrator for periodic NLS: low regularity estimates via discrete Bourgain spaces pdf

Alexander Ostermann, Katharina Schratz, Fr'ed'eric Rousset, 2020, Journal of the European Mathematical Society.

Efficient time integration of the Maxwell-Klein-Gordon equation in the non-relativistic limit regime

Katharina Schratz, Patrick Krämer, 2017, J. Comput. Appl. Math..

An exponential-type integrator for the KdV equation

Katharina Schratz, Martina Hofmanová, Katharina Schratz, 2016, Numerische Mathematik.

Trigonometric integrators for quasilinear wave equations

Jeremy Louis Marzuola, Ludwig Gauckler, Jianfeng Lu, 2017, Math. Comput..

A general framework of low regularity integrators pdf

Katharina Schratz, Fr'ed'eric Rousset, Katharina Schratz, 2020, SIAM J. Numer. Anal..

The error structure of the Douglas-Rachford splitting method for stiff linear problems

Alexander Ostermann, Katharina Schratz, Eskil Hansen, 2016, J. Comput. Appl. Math..

Resonance-based schemes for dispersive equations via decorated trees pdf

Katharina Schratz, Yvain Bruned, Katharina Schratz, 2020, Forum of Mathematics, Pi.

Uniformly accurate exponential-type integrators for Klein-Gordon equations with asymptotic convergence to the classical NLS splitting

Erwan Faou, Katharina Schratz, Simon Baumstark, 2016, Math. Comput..

Uniformly Accurate Oscillatory Integrators for the Klein-Gordon-Zakharov System from Low- to High-Plasma Frequency Regimes

Katharina Schratz, Simon Baumstark, Katharina Schratz, 2018, SIAM J. Numer. Anal..

Low Regularity Exponential-Type Integrators for Semilinear Schrödinger Equations

Alexander Ostermann, Katharina Schratz, A. Ostermann, 2016, Foundations of Computational Mathematics.

Stability of Exponential Operator Splitting Methods for Noncontractive Semigroups

Alexander Ostermann, Katharina Schratz, 2013, SIAM J. Numer. Anal..

Asymptotic preserving schemes for the Klein–Gordon equation in the non-relativistic limit regime

Erwan Faou, Katharina Schratz, E. Faou, 2012, Numerische Mathematik.

Error estimates at low regularity of splitting schemes for NLS pdf

Alexander Ostermann, Katharina Schratz, Fr'ed'eric Rousset, 2020, Math. Comput..

Splitting methods for nonlinear Dirac equations with Thirring type interaction in the nonrelativistic limit regime

Katharina Schratz, Patrick Krämer, Xiaofei Zhao, 2021, J. Comput. Appl. Math..

Resonance-based schemes for dispersive equations via decorated trees

Katharina Schratz, Yvain Bruned, 2022, Forum of Mathematics, Pi.

Effective high order integrators for linear Klein-Gordon equations in low to highly oscillatory regimes pdf

Katharina Schratz, Karolina Kropielnicka, Karolina Lademann, 2021, ArXiv.

A semi-implicit low-regularity integrator for Navier-Stokes equations pdf

Buyang Li, Katharina Schratz, Shu Ma, 2021, ArXiv.

A general framework of low regularity integrators

Katharina Schratz, Fr'ed'eric Rousset, Katharina Schratz, 2020, SIAM J. Numer. Anal..

Time integrators for dispersive equations in the long wave regime pdf

Katharina Schratz, Fr'ed'eric Rousset, Mar'ia Cabrera Calvo, 2021, Math. Comput..

Uniformly accurate splitting schemes for the Benjamin-Bona-Mahony equation with dispersive parameter pdf

Katharina Schratz, Mar'ia Cabrera Calvo, Katharina Schratz, 2021, BIT Numerical Mathematics.

Convergence error estimates at low regularity for time discretizations of KdV pdf

Katharina Schratz, Fr'ed'eric Rousset, Katharina Schratz, 2021, Pure and Applied Analysis.

Uniformly accurate low regularity integrators for the Klein-Gordon equation from the classical to non-relativistic limit regime pdf

Katharina Schratz, Mar'ia Cabrera Calvo, Katharina Schratz, 2021, ArXiv.

Physically-based modelling of granular flows with Open Source GIS

Wolfgang Fellin, Alexander Ostermann, Katharina Schratz, 2012 .

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

Alexander Ostermann, Katharina Schratz, Fr'ed'eric Rousset, 2019, Found. Comput. Math..

Fractional error estimates of splitting schemes for the nonlinear Schrödinger equation

Roland Schnaubelt, Katharina Schratz, Johannes Eilinghoff, 2016 .

Randomized exponential integrators for modulated nonlinear Schrödinger equations

Katharina Schratz, Martina Hofmanov'a, Katharina Schratz, 2017, IMA Journal of Numerical Analysis.

Analysis of exponential splitting methods for inhomogeneous parabolic equations

Alexander Ostermann, Erwan Faou, Katharina Schratz, 2012 .

Low regularity exponential-type integrators for semilinear Schr\"odinger equations in the energy space

Alexander Ostermann, Katharina Schratz, 2016 .