Katharina Schratz | DeepAI

DeepAI AI Chat

Featured Co-authors

Yan Wang
215 publications
Yue Feng
30 publications
Lili Ju
24 publications
Buyang Li
22 publications
Alexander Ostermann
18 publications
XiaoFei Zhao
11 publications
Georg Maierhofer
9 publications
Arieh Iserles
8 publications
Marcus Webb
8 publications
Frédéric Rousset
7 publications
Shu Ma
6 publications

∙ 05/26/2023

Symmetric resonance based integrators and forest formulae

We introduce a unified framework of symmetric resonance based schemes wh...

0 Yvonne Alama Bronsard, et al. ∙

∙ 02/01/2023

Long-time error bounds of low-regularity integrators for nonlinear Schrödinger equations

We introduce a new non-resonant low-regularity integrator for the cubic ...

0 Yue Feng, et al. ∙

∙ 01/25/2023

Low regularity error estimates for the time integration of 2D NLS

A filtered Lie splitting scheme is proposed for the time integration of ...

0 Lun Ji, et al. ∙

∙ 11/17/2022

Improved uniform error bounds on a Lawson-type exponential integrator for the long-time dynamics of sine–Gordon equation

We establish the improved uniform error bounds on a Lawson-type exponent...

0 Yue Feng, et al. ∙

∙ 11/08/2022

Low regularity integrators for semilinear parabolic equations with maximum bound principles

This paper is concerned with conditionally structure-preserving, low reg...

0 Cao-Kha Doan, et al. ∙

∙ 11/02/2022

Numerical integration of Schrödinger maps via the Hasimoto transform

We introduce a numerical approach to computing the Schrödinger map (SM) ...

0 Valeria Banica, et al. ∙

∙ 05/10/2022

Bridging the gap: symplecticity and low regularity on the example of the KdV equation

Recent years have seen an increasing amount of research devoted to the d...

0 Georg Maierhofer, et al. ∙

∙ 05/04/2022

Approximations of dispersive PDEs in the presence of low-regularity randomness

We introduce a new class of numerical schemes which allow for low regula...

0 Yvonne Alama Bronsard, et al. ∙

∙ 03/29/2022

A second-order low-regularity correction of Lie splitting for the semilinear Klein–Gordon equation

The numerical approximation of the semilinear Klein–Gordon equation in t...

0 Buyang Li, et al. ∙

∙ 02/02/2022

Low regularity integrators via decorated trees

We introduce a general framework of low regularity integrators which all...

0 Yvonne Alama Bronsard, et al. ∙

∙ 12/16/2021

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

We introduce an efficient class of high order schemes for the Klein–Gord...

0 Karolina Kropielnicka, et al. ∙

∙ 07/28/2021

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

A new type of low-regularity integrator is proposed for Navier-Stokes eq...

0 Buyang Li, et al. ∙

∙ 05/08/2021

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

We propose a new class of uniformly accurate splitting methods for the B...

0 María Cabrera Calvo, et al. ∙

∙ 05/08/2021

Time integrators for dispersive equations in the long wave regime

We introduce a novel class of time integrators for dispersive equations ...

0 María Cabrera Calvo, et al. ∙

∙ 04/23/2021

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

We propose a novel class of uniformly accurate integrators for the Klein...

0 María Cabrera Calvo, et al. ∙

∙ 02/22/2021

Convergence error estimates at low regularity for time discretizations of KdV

We consider various filtered time discretizations of the periodic Kortew...

0 Frédéric Rousset, et al. ∙

∙ 01/31/2021

Solving the linear semiclassical Schrödinger equation on the real line

The numerical solution of a linear Schrödinger equation in the semiclass...

0 Arieh Iserles, et al. ∙

∙ 12/28/2020

Error estimates at low regularity of splitting schemes for NLS

We study a filtered Lie splitting scheme for the cubic nonlinear Schrödi...

0 Alexander Ostermann, et al. ∙

∙ 12/27/2020

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

We carry out the convergence analysis of the Scalar Auxiliary Variable (...

0 Alexandre Poulain, et al. ∙

∙ 10/04/2020

A general framework of low regularity integrators

We introduce a new general framework for the approximation of evolution ...

0 Frédéric Rousset, et al. ∙

∙ 06/23/2020

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

In this paper, we propose a new scheme for the integration of the period...

0 Alexander Ostermann, et al. ∙

∙ 05/04/2020

Resonance based schemes for dispersive equations via decorated trees

We introduce a numerical framework for dispersive equations embedding th...

0 Yvain Bruned, et al. ∙

∙ 06/22/2019

Low-regularity integrators for nonlinear Dirac equations

In this work, we consider the numerical integration of the nonlinear Dir...

0 Katharina Schratz, et al. ∙

Are you a researcher?
Expose your work
to one of the largest
A.I. communities in the world