3 papers
math.NA2024
A robust second-order low-rank BUG integrator based on the midpoint rule
Gianluca Ceruti, Lukas Einkemmer, Jonas Kusch +1
Dynamical low-rank approximation has become a valuable tool to perform an on-the-fly model order reduction for prohibitively large matrix differential equations. A core ingredient…
math.NA2023
A low-rank complexity reduction algorithm for the high-dimensional kinetic chemical master equation
Lukas Einkemmer, Julian Mangott, Martina Prugger
It is increasingly realized that taking stochastic effects into account is important in order to study biological cells. However, the corresponding mathematical formulation, the ch…
math.NA2023
Suppressing Instability in a Vlasov-Poisson System by an External Electric Field Through Constrained Optimization
Lukas Einkemmer, Qin Li, Li Wang +1
Fusion energy offers the potential for the generation of clean, safe, and nearly inexhaustible energy. While notable progress has been made in recent years, significant challenges…