815 citations · 1.4k across the 35 of their papers we have counts for
50 papers
Leapfrog methods for relativistic charged-particle dynamics
Ernst Hairer, Christian Lubich, Yanyan Shi
A basic leapfrog integrator and its energy-preserving and variational / symplectic variants are proposed and studied for the numerical integration of the equations of motion of rel…
Numerical simulations of long-range open quantum many-body dynamics with tree tensor networks
Dominik Sulz, Christian Lubich, Gianluca Ceruti +2
Open quantum systems provide a conceptually simple setting for the exploration of collective behavior stemming from the competition between quantum effects, many-body interactions,…
A parallel rank-adaptive integrator for dynamical low-rank approximation
Gianluca Ceruti, Jonas Kusch, Christian Lubich
This work introduces a parallel and rank-adaptive matrix integrator for dynamical low-rank approximation. The method is related to the previously proposed rank-adaptive basis updat…
Polarized high-frequency wave propagation beyond the nonlinear Schrödinger approximation
Julian Baumstark, Tobias Jahnke, Christian Lubich
This paper studies highly oscillatory solutions to a class of systems of semilinear hyperbolic equations with a small parameter, in a setting that includes Klein--Gordon equations…
Rank- matrix differential equations for structured eigenvalue optimization
Nicola Guglielmi, Christian Lubich, Stefano Sicilia
A new approach to solving eigenvalue optimization problems for large structured matrices is proposed and studied. The class of optimization problems considered is related to comput…
On a large-stepsize integrator for charged-particle dynamics
Christian Lubich, Yanyan Shi
Xiao and Qin [Computer Physics Comm., 265:107981, 2021] recently proposed a remarkably simple modification of the Boris algorithm to compute the guiding centre of the highly oscill…