47 citations · 47 across the 2 of their papers we have counts for
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A low-rank projector-splitting integrator for the Vlasov--Maxwell equations with divergence correction
Lukas Einkemmer, Alexander Ostermann, Chiara Piazzola
The Vlasov--Maxwell equations are used for the kinetic description of magnetized plasmas. As they are posed in an up to 3+3 dimensional phase space, solving this problem is extreme…
Convergence of a low-rank Lie--Trotter splitting for stiff matrix differential equations
Alexander Ostermann, Chiara Piazzola, Hanna Walach
We propose a numerical integrator for determining low-rank approximations to solutions of large-scale matrix differential equations. The considered differential equations are semil…
Numerical low-rank approximation of matrix differential equations
Hermann Mena, Alexander Ostermann, Lena-Maria Pfurtscheller +1
The efficient numerical integration of large-scale matrix differential equations is a topical problem in numerical analysis and of great importance in many applications. Standard n…
A splitting approach for the magnetic Schrödinger equation
Marco Caliari, Alexander Ostermann, Chiara Piazzola
The Schrödinger equation in the presence of an external electromagnetic field is an important problem in computational quantum mechanics. It also provides a nice example of a diffe…