4 papers · 1 filter
A Wong--Zakai resonance-based integrator for nonlinear Schrödinger equation with white noise dispersion
Jianbo Cui, Georg Maierhofer
We introduce a novel approach to numerical approximation of nonlinear Schrödinger equation with white noise dispersion in the regime of low-regularity solutions. Approximating such…
Explicit symmetric low-regularity integrators for the nonlinear Schrödinger equation
Yue Feng, Georg Maierhofer, Chushan Wang
The numerical approximation of low-regularity solutions to the nonlinear Schrödinger equation is notoriously difficult and even more so if structure-preserving schemes are sought.…
An analysis of least-squares oversampled collocation methods for compactly perturbed boundary integral equations in two dimensions
Georg Maierhofer, Daan Huybrechs
In recent work (Maierhofer & Huybrechs, 2022, Adv. Comput. Math.), the authors showed that least-squares oversampling can improve the convergence properties of collocation methods…
Convergence analysis of oversampled collocation boundary element methods in 2D
Georg Maierhofer, Daan Huybrechs
Collocation boundary element methods for integral equations are easier to implement than Galerkin methods because the elements of the discretization matrix are given by lower-dimen…