13 citations · 15 across the 5 of their papers we have counts for
5 papers
Interaction-driven dynamics in graphene flakes as a benchmark for quantum simulation
Fabian Eickhoff, Satoshi Ejima, Lukas Windgätter +4
We study interaction-driven ultrafast dynamics in finite graphene flakes following an optical pump quench in an interacting tight-binding model. By comparing exact real-time evolut…
Time-parallel simulation of the Schrödinger Equation
Hannah Rittich, Robert Speck
The numerical simulation of the time-dependent Schrödinger equation for quantum systems is a very active research topic. Yet, resolving the solution sufficiently in space and time…
The Deflated Conjugate Gradient Method: Convergence, Perturbation and Accuracy
K. Kahl, H. Rittich
Deflation techniques for Krylov subspace methods have seen a lot of attention in recent years. They provide means to improve the convergence speed of these methods by enriching the…
2-norm error bounds and estimates for Lanczos approximations to linear systems and rational matrix functions
A. Frommer, K. Kahl, Th. Lippert +1
The Lanczos process constructs a sequence of orthonormal vectors v_m spanning a nested sequence of Krylov subspaces generated by a hermitian matrix A and some starting vector b. In…
Error Bounds for the Sign Function
Andreas Frommer, Karsten Kahl, Thomas Lippert +1
The Overlap operator fulfills the Ginsparg-Wilson relation exactly and therefore represents an optimal discretization of the QCD Dirac operator with respect to chiral symmetry. Whe…