815 citations · 1.4k across the 35 of their papers we have counts for
41 papers · 1 filter
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…
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…
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…
Rank-adaptive time integration of tree tensor networks
Gianluca Ceruti, Christian Lubich, Dominik Sulz
A rank-adaptive integrator for the approximate solution of high-order tensor differential equations by tree tensor networks is proposed and analyzed. In a recursion from the leaves…
A rank-adaptive robust integrator for dynamical low-rank approximation
Gianluca Ceruti, Jonas Kusch, Christian Lubich
A rank-adaptive integrator for the dynamical low-rank approximation of matrix and tensor differential equations is presented. The fixed-rank integrator recently proposed by two of…