Katharina Schratz

60 papers A* 1Journal 59

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	A fast neural hybrid Newton solver adapted to implicit methods for nonlinear dynamics. J. Comput. Phys. Tianyu Jin, Georg Maierhofer, Katharina Schratz, Yang Xiang
2025	J	`jnl`	Computing nonlinear Schrödinger equations with Hermite functions beyond harmonic traps. CoRR Valeria Banica, Georg Maierhofer, Katharina Schratz
2025	J	`jnl`	Effective highly accurate time integrators for linear Klein-Gordon equations across the scales. J. Num. Math. Karolina Kropielnicka, Karolina Lademann, Katharina Schratz
2025	J	`jnl`	Fully discrete backward error analysis for the midpoint rule applied to the nonlinear Schroedinger equation. CoRR Erwan Faou, Georg Maierhofer, Katharina Schratz
2025	A*	`conf`	G-Adaptivity: optimised graph-based mesh relocation for finite element methods. ICML James Rowbottom, Georg Maierhofer, Teo Deveney, Eike Hermann Müller, Alberto Paganini, Katharina Schratz, Pietro Lio, Carola-Bibiane Schönlieb, Chris J. Budd
2025	J	`jnl`	Resonances and computations. CoRR Yvain Bruned, Frédéric Rousset, Katharina Schratz
2025	J	`jnl`	Resonances as a Computational Tool. Found. Comput. Math. Frédéric Rousset, Katharina Schratz
2025	J	`jnl`	Time-relaxation structure-preserving explicit low-regularity integrators for the nonlinear Schrödinger equation. CoRR Hang Li, Xicui Li, Katharina Schratz, Bin Wang
2024	J	`jnl`	A fast neural hybrid Newton solver adapted to implicit methods for nonlinear dynamics. CoRR Tianyu Jin, Georg Maierhofer, Katharina Schratz, Yang Xiang
2024	J	`jnl`	Approximations of Dispersive PDEs in the Presence of Low-Regularity Randomness. Found. Comput. Math. Yvonne Alama Bronsard, Yvain Bruned, Katharina Schratz
2024	J	`jnl`	Computing rough solutions of the stochastic nonlinear wave equation. CoRR Jiachuan Cao, Buyang Li, Katharina Schratz
2024	J	`jnl`	G-Adaptive mesh refinement - leveraging graph neural networks and differentiable finite element solvers. CoRR James Rowbottom, Georg Maierhofer, Teo Deveney, Katharina Schratz, Pietro Liò, Carola-Bibiane Schönlieb, Chris J. Budd
2024	J	`jnl`	Improved uniform error bounds on a Lawson-type exponential integrator for the long-time dynamics of sine-Gordon equation. Numerische Mathematik Yue Feng, Katharina Schratz
2024	J	`jnl`	Long-term error analysis of low-regularity integrators for stochastic Schrödinger equations. CoRR Stefano Di Giovacchino, Katharina Schratz
2024	J	`jnl`	Low Regularity Full Error Estimates for the Cubic Nonlinear Schrödinger Equation. SIAM J. Numer. Anal. Lun Ji, Alexander Ostermann, Frédéric Rousset, Katharina Schratz
2024	J	`jnl`	Numerical Integration of Schrödinger Maps via the Hasimoto Transform. SIAM J. Numer. Anal. Valeria Banica, Georg Maierhofer, Katharina Schratz
2024	J	`jnl`	Resonances as a computational tool. CoRR Frédéric Rousset, Katharina Schratz
2023	J	`jnl`	Long-time error bounds of low-regularity integrators for nonlinear Schrödinger equations. CoRR Yue Feng, Georg Maierhofer, Katharina Schratz
2023	J	`jnl`	Long-time error bounds of low-regularity integrators for nonlinear Schrödinger equations. Math. Comput. Yue Feng, Georg Maierhofer, Katharina Schratz
2023	J	`jnl`	Low regularity error estimates for the time integration of 2D NLS. CoRR Lun Ji, Alexander Ostermann, Frédéric Rousset, Katharina Schratz
2023	J	`jnl`	Low regularity full error estimates for the cubic nonlinear Schrödinger equation. CoRR Lun Ji, Alexander Ostermann, Frédéric Rousset, Katharina Schratz
2023	J	`jnl`	Symmetric resonance based integrators and forest formulae. CoRR Yvonne Alama Bronsard, Yvain Bruned, Georg Maierhofer, Katharina Schratz
2022	J	`jnl`	A Semi-implicit Exponential Low-Regularity Integrator for the Navier-Stokes Equations. SIAM J. Numer. Anal. Buyang Li, Shu Ma, Katharina Schratz
2022	J	`jnl`	A second-order low-regularity correction of Lie splitting for the semilinear Klein-Gordon equation. CoRR Buyang Li, Katharina Schratz, Franco Zivcovich
2022	J	`jnl`	Approximations of dispersive PDEs in the presence of low-regularity randomness. CoRR Yvonne Alama Bronsard, Yvain Bruned, Katharina Schratz
2022	J	`jnl`	Bridging the gap: symplecticity and low regularity on the example of the KdV equation. CoRR Georg Maierhofer, Katharina Schratz
2022	J	`jnl`	Error estimates at low regularity of splitting schemes for NLS. Math. Comput. Alexander Ostermann, Frédéric Rousset, Katharina Schratz
2022	J	`jnl`	Improved uniform error bounds on a Lawson-type exponential integrator for the long-time dynamics of sine-Gordon equation. CoRR Yue Feng, Katharina Schratz
2022	J	`jnl`	Low regularity integrators for semilinear parabolic equations with maximum bound principles. CoRR Cao-Kha Doan, Thi-Thao-Phuong Hoang, Lili Ju, Katharina Schratz
2022	J	`jnl`	Low regularity integrators via decorated trees. CoRR Yvonne Alama Bronsard, Yvain Bruned, Katharina Schratz
2022	J	`jnl`	Numerical integration of Schrödinger maps via the Hasimoto transform. CoRR Valeria Banica, Georg Maierhofer, Katharina Schratz
2022	J	`jnl`	Time integrators for dispersive equations in the long wave regime. Math. Comput. María Cabrera Calvo, Frédéric Rousset, Katharina Schratz
2022	J	`jnl`	Uniformly Accurate Low Regularity Integrators for the Klein-Gordon Equation from the Classical to NonRelativistic Limit Regime. SIAM J. Numer. Anal. María Cabrera Calvo, Katharina Schratz
2021	J	`jnl`	A General Framework of Low Regularity Integrators. SIAM J. Numer. Anal. Frédéric Rousset, Katharina Schratz
2021	J	`jnl`	A semi-implicit low-regularity integrator for Navier-Stokes equations. CoRR Buyang Li, Shu Ma, Katharina Schratz
2021	J	`jnl`	Convergence error estimates at low regularity for time discretizations of KdV. CoRR Frédéric Rousset, Katharina Schratz
2021	J	`jnl`	Effective high order integrators for linear Klein-Gordon equations in low to highly oscillatory regimes. CoRR Karolina Kropielnicka, Karolina Lademann, Katharina Schratz
2021	J	`jnl`	Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity. Found. Comput. Math. Alexander Ostermann, Frédéric Rousset, Katharina Schratz
2021	J	`jnl`	Low-regularity integrators for nonlinear Dirac equations. Math. Comput. Katharina Schratz, Yan Wang, Xiaofei Zhao
2021	J	`jnl`	Solving the linear semiclassical Schrödinger equation on the real line. CoRR Arieh Iserles, Karolina Kropielnicka, Katharina Schratz, Marcus Webb
2021	J	`jnl`	Splitting methods for nonlinear Dirac equations with Thirring type interaction in the nonrelativistic limit regime. J. Comput. Appl. Math. Patrick Krämer, Katharina Schratz, Xiaofei Zhao
2021	J	`jnl`	Time integrators for dispersive equations in the long wave regime. CoRR María Cabrera Calvo, Frédéric Rousset, Katharina Schratz
2021	J	`jnl`	Uniformly accurate low regularity integrators for the Klein-Gordon equation from the classical to non-relativistic limit regime. CoRR María Cabrera Calvo, Katharina Schratz
2021	J	`jnl`	Uniformly accurate splitting schemes for the Benjamin-Bona-Mahony equation with dispersive parameter. CoRR María Cabrera Calvo, Katharina Schratz
2020	J	`jnl`	A general framework of low regularity integrators. CoRR Frédéric Rousset, Katharina Schratz
2020	J	`jnl`	Convergence, error analysis and longtime behavior of the Scalar Auxiliary Variable method for the nonlinear Schrödinger equation. CoRR Alexandre Poulain, Katharina Schratz
2020	J	`jnl`	Error estimates at low regularity of splitting schemes for NLS. CoRR Alexander Ostermann, Frédéric Rousset, Katharina Schratz
2020	J	`jnl`	Fourier integrator for periodic NLS: low regularity estimates via discrete Bourgain spaces. CoRR Alexander Ostermann, Frédéric Rousset, Katharina Schratz
2020	J	`jnl`	Resonance based schemes for dispersive equations via decorated trees. CoRR Yvain Bruned, Katharina Schratz
2019	J	`jnl`	A Fourier Integrator for the Cubic Nonlinear Schrödinger Equation with Rough Initial Data. SIAM J. Numer. Anal. Marvin Knöller, Alexander Ostermann, Katharina Schratz
2019	J	`jnl`	Low-regularity integrators for nonlinear Dirac equations. CoRR Katharina Schratz, Yan Wang, Xiaofei Zhao
2019	J	`jnl`	Trigonometric integrators for quasilinear wave equations. Math. Comput. Ludwig Gauckler, Jianfeng Lu, Jeremy Louis Marzuola, Frederic Rousset, Katharina Schratz
2019	J	`jnl`	Uniformly Accurate Oscillatory Integrators for the Klein-Gordon-Zakharov System from Low- to High-Plasma Frequency Regimes. SIAM J. Numer. Anal. Simon Baumstark, Katharina Schratz
2018	J	`jnl`	Low Regularity Exponential-Type Integrators for Semilinear Schrödinger Equations. Found. Comput. Math. Alexander Ostermann, Katharina Schratz
2018	J	`jnl`	Uniformly accurate exponential-type integrators for Klein-Gordon equations with asymptotic convergence to the classical NLS splitting. Math. Comput. Simon Baumstark, Erwan Faou, Katharina Schratz
2017	J	`jnl`	An exponential-type integrator for the KdV equation. Numerische Mathematik Martina Hofmanová, Katharina Schratz
2017	J	`jnl`	Efficient time integration of the Maxwell-Klein-Gordon equation in the non-relativistic limit regime. J. Comput. Appl. Math. Patrick Krämer, Katharina Schratz
2016	J	`jnl`	The error structure of the Douglas-Rachford splitting method for stiff linear problems. J. Comput. Appl. Math. Eskil Hansen, Alexander Ostermann, Katharina Schratz
2014	J	`jnl`	Asymptotic preserving schemes for the Klein-Gordon equation in the non-relativistic limit regime. Numerische Mathematik Erwan Faou, Katharina Schratz
2013	J	`jnl`	Stability of Exponential Operator Splitting Methods for Noncontractive Semigroups. SIAM J. Numer. Anal. Alexander Ostermann, Katharina Schratz