IMEX-BDF2 and IMEX-BDF3 are shown to be stable for DDE systems with non-commuting matrices under field-of-values conditions, with unconditional stability on disks of radius 1/3 and 1/7.
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On the stability of IMEX BDF methods for DDEs and PDDEs
IMEX-BDF2 and IMEX-BDF3 are shown to be stable for DDE systems with non-commuting matrices under field-of-values conditions, with unconditional stability on disks of radius 1/3 and 1/7.