research
∙
05/26/2023
Symmetric resonance based integrators and forest formulae
We introduce a unified framework of symmetric resonance based schemes wh...
share
research
∙
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 ...
research
∙
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 ...
research
∙
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...
research
∙
11/08/2022
Low regularity integrators for semilinear parabolic equations with maximum bound principles
This paper is concerned with conditionally structure-preserving, low reg...
research
∙
11/02/2022
Numerical integration of Schrödinger maps via the Hasimoto transform
We introduce a numerical approach to computing the Schrödinger map (SM) ...
research
∙
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...
research
∙
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...
research
∙
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...
research
∙
02/02/2022
Low regularity integrators via decorated trees
We introduce a general framework of low regularity integrators which all...
research
∙
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...
research
∙
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...
research
∙
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...
research
∙
05/08/2021
Time integrators for dispersive equations in the long wave regime
We introduce a novel class of time integrators for dispersive equations ...
research
∙
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...
research
∙
02/22/2021
Convergence error estimates at low regularity for time discretizations of KdV
We consider various filtered time discretizations of the periodic Kortew...
research
∙
01/31/2021
Solving the linear semiclassical Schrödinger equation on the real line
The numerical solution of a linear Schrödinger equation in the semiclass...
research
∙
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...
research
∙
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 (...
research
∙
10/04/2020
A general framework of low regularity integrators
We introduce a new general framework for the approximation of evolution ...
research
∙
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...
research
∙
05/04/2020
Resonance based schemes for dispersive equations via decorated trees
We introduce a numerical framework for dispersive equations embedding th...
research
∙
06/22/2019
