Katharina Schratz

Numerische Mathematik, August, 2024

Numerical Integration of Schrödinger Maps via the Hasimoto Transform.

[BibT_eX]

[DOI]

Valeria Banica

,

,

SIAM J. Numer. Anal., February, 2024

Low Regularity Full Error Estimates for the Cubic Nonlinear Schrödinger Equation.

[BibT_eX]

[DOI]

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,

,

SIAM J. Numer. Anal., 2024

Long-term error analysis of low-regularity integrators for stochastic Schrödinger equations.

[BibT_eX]

[DOI]

Stefano Di Giovacchino

,

CoRR, 2024

G-Adaptive mesh refinement - leveraging graph neural networks and differentiable finite element solvers.

[BibT_eX]

[DOI]

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Carola-Bibiane Schönlieb

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Chris J. Budd

CoRR, 2024

A fast neural hybrid Newton solver adapted to implicit methods for nonlinear dynamics.

[BibT_eX]

[DOI]

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,

,

CoRR, 2024

Resonances as a computational tool.

[BibT_eX]

[DOI]

,

CoRR, 2024

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

[BibT_eX]

[DOI]

Yue Feng

,

,

Math. Comput., 2023

Symmetric resonance based integrators and forest formulae.

[BibT_eX]

[DOI]

Yvonne Alama Bronsard

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,

,

CoRR, 2023

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

[BibT_eX]

[DOI]

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,

,

CoRR, 2023

A Semi-implicit Exponential Low-Regularity Integrator for the Navier-Stokes Equations.

[BibT_eX]

[DOI]

Buyang Li

,

Shu Ma

,

SIAM J. Numer. Anal., August, 2022

Uniformly Accurate Low Regularity Integrators for the Klein-Gordon Equation from the Classical to NonRelativistic Limit Regime.

[BibT_eX]

[DOI]

,

SIAM J. Numer. Anal., 2022

Error estimates at low regularity of splitting schemes for NLS.

[BibT_eX]

[DOI]

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Math. Comput., 2022

Time integrators for dispersive equations in the long wave regime.

[BibT_eX]

[DOI]

,

,

Math. Comput., 2022

Low regularity integrators for semilinear parabolic equations with maximum bound principles.

[BibT_eX]

[DOI]

Cao-Kha Doan

,

Thi-Thao-Phuong Hoang

,

Lili Ju

,

CoRR, 2022

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

[BibT_eX]

[DOI]

,

CoRR, 2022

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

[BibT_eX]

[DOI]

Yvonne Alama Bronsard

,

,

CoRR, 2022

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

[BibT_eX]

[DOI]

Buyang Li

,

,

Franco Zivcovich

CoRR, 2022

Low regularity integrators via decorated trees.

[BibT_eX]

[DOI]

Yvonne Alama Bronsard

,

,

CoRR, 2022

A General Framework of Low Regularity Integrators.

[BibT_eX]

[DOI]

,

SIAM J. Numer. Anal., 2021

Low-regularity integrators for nonlinear Dirac equations.

[BibT_eX]

[DOI]

,

Yan Wang

,

Xiaofei Zhao

Math. Comput., 2021

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

[BibT_eX]

[DOI]

Patrick Krämer

,

,

Xiaofei Zhao

J. Comput. Appl. Math., 2021

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

[BibT_eX]

[DOI]

,

,

Found. Comput. Math., 2021

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

[BibT_eX]

[DOI]

Karolina Kropielnicka

,

Karolina Lademann

,

CoRR, 2021

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

[BibT_eX]

[DOI]

Buyang Li

,

Shu Ma

,

CoRR, 2021

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

[BibT_eX]

[DOI]

,

CoRR, 2021

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

[BibT_eX]

[DOI]

,

CoRR, 2021

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

[BibT_eX]

[DOI]

,

CoRR, 2021

Solving the linear semiclassical Schrödinger equation on the real line.

[BibT_eX]

[DOI]

Arieh Iserles

,

Karolina Kropielnicka

,

,

Marcus Webb

CoRR, 2021

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

[BibT_eX]

[DOI]

Alexandre Poulain

,

CoRR, 2020

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

[BibT_eX]

[DOI]

,

,

CoRR, 2020

Resonance based schemes for dispersive equations via decorated trees.

[BibT_eX]

[DOI]

,

CoRR, 2020

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

[BibT_eX]

[DOI]

Marvin Knöller

,

,

SIAM J. Numer. Anal., 2019

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

[BibT_eX]

[DOI]

Simon Baumstark

,

SIAM J. Numer. Anal., 2019

Trigonometric integrators for quasilinear wave equations.

[BibT_eX]

[DOI]

Ludwig Gauckler

,

Jianfeng Lu

,

Jeremy Louis Marzuola

,

Frederic Rousset

,

Math. Comput., 2019

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

[BibT_eX]

[DOI]

Simon Baumstark

,

Erwan Faou

,

Math. Comput., 2018

Low Regularity Exponential-Type Integrators for Semilinear Schrödinger Equations.

[BibT_eX]

[DOI]

,

Found. Comput. Math., 2018

An exponential-type integrator for the KdV equation.

[BibT_eX]

[DOI]

Martina Hofmanová

,

Numerische Mathematik, 2017

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

[BibT_eX]

[DOI]

Patrick Krämer

,

J. Comput. Appl. Math., 2017

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

[BibT_eX]

[DOI]

Eskil Hansen

,

,

J. Comput. Appl. Math., 2016

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

[BibT_eX]

[DOI]

Erwan Faou

,

Numerische Mathematik, 2014

Stability of Exponential Operator Splitting Methods for Noncontractive Semigroups.

[BibT_eX]

[DOI]

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