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math.NA2025
A Novel Approach for Flexible Body Dynamics Computation via Synthesizing Incremental Motions in Reconfigured Inertial Frames
Xiaobo Liu
A novel approach is presented for computing flexible body dynamics based on conventional structural dynamics models. This approach innovatively captures the rigid body motion compo…
math.NA2025
A scaling and recovering algorithm for the matrix -functions
Awad H. Al-Mohy, Xiaobo Liu
A new scaling and recovering algorithm is proposed for simultaneously computing the matrix -functions that arise in exponential integrator methods for the numerical solution of…
math.NA2025
A note on the cross matrices
Xiaobo Liu
A cross matrix can have nonzero elements located only on the main diagonal and the anti-diagonal, so that the sparsity pattern has the shape of a cross. It is shown that ca…