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On the stability of second-order methods for DDEs and PDDEs

Rodríguez-Gutiérrez, Javier et al.
arXiv (All) · Papers
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65m12numerical-analysis
In this paper, a one-parameter family of second-order implicit--explicit (IMEX) multistep methods is studied for delay differential equations (DDEs). The analysis is based on the matrix problem $y'(t)=A y(t) + B y(t-τ(t))$, where $A$ is Hermitian negative definite but $B$ is any matrix. For constant
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