815 citations · 1.4k across the 35 of their papers we have counts for
4 papers · 1 filter
Unifying time evolution and optimization with matrix product states
Jutho Haegeman, Christian Lubich, Ivan Oseledets +2
We show that the time-dependent variational principle provides a unifying framework for time-evolution methods and optimisation methods in the context of matrix product states. In…
Time integration of tensor trains
Christian Lubich, Ivan Oseledets, Bart Vandereycken
A robust and efficient time integrator for dynamical tensor approximation in the tensor train or matrix product state format is presented. The method is based on splitting the proj…
Numerical integrators for motion under a strong constraining force
Christian Lubich, Daniel Weiss
This paper deals with the numerical integration of Hamiltonian systems in which a stiff anharmonic potential causes highly oscillatory solution behavior with solution-dependent fre…
Long-term analysis of numerical integrators for oscillatory Hamiltonian systems under minimal non-resonance conditions
David Cohen, Ludwig Gauckler, Ernst Hairer +1
For trigonometric and modified trigonometric integrators applied to oscillatory Hamiltonian differential equations with one or several constant high frequencies, near-conservation…