Abstract In this paper, we construct and analyze a new dynamical low-rank integrator for second-order matrix differential equations. The method is based on combination of the projector-splitting introduced in Lubich Oseledets (BIT 54(1):171–188, 2014. https://doi.org/10.1007/s10543-013-0454-0 ) Strang splitting. We also present variant which tailored to semilinear problems.
