4 papers
Time-relaxation structure-preserving explicit low-regularity integrators for the nonlinear Schrödinger equation
Hang Li, Xicui Li, Katharina Schratz +1
We propose and rigorously analyze a novel family of explicit low-regularity exponential integrators for the nonlinear Schrödinger (NLS) equation, based on a time-relaxation framewo…
A novel class of explicit energy-preserving splitting methods for charged-particle dynamics
Xicui Li, Bin Wang
In this letter, based on the exponential scalar auxiliary variable technology, we propose and study a new class of explicit energy-preserving splitting methods for solving the char…
A novel class of linearly implicit energy-preserving schemes for conservative systems
Xicui Li, Bin Wang, Xin Zou
We consider a kind of differential equations d/dt y(t) = R(y(t))y(t) + f(y(t)) with energy conservation. Such conservative models appear for instance in quantum physics, engineerin…
Long term analysis of splitting methods for charged-particle dynamics
Xicui Li, Bin Wang
In this paper, we rigorously analyze the energy, momentum and magnetic moment behaviours of two splitting methods for solving charged-particle dynamics. The near-conservations of t…