Von Neumann analysis shows that Lie-Trotter and Strang splittings yield identical stability conditions for DtP and PtD on hyperbolic problems while Strang enlarges the region, and that Crank-Nicolson or hybrid Euler schemes restore unconditional stability for parabolic problems despite a negative S-
Villani , A review of mathematical topics in collisional kinetic theory , in Handbook of Mathematical Fluid Mechanics, S
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On the stability of the low-rank projector-splitting integrators for hyperbolic and parabolic equations
Von Neumann analysis shows that Lie-Trotter and Strang splittings yield identical stability conditions for DtP and PtD on hyperbolic problems while Strang enlarges the region, and that Crank-Nicolson or hybrid Euler schemes restore unconditional stability for parabolic problems despite a negative S-