Stability analysis of numerical methods for delay differential equations
KJ In't Hout, MN Spijker - Numerische Mathematik, 1991 - Springer
Numerische Mathematik, 1991•Springer
This paper deals with the stability analysis of step-by-step methods for the numerical
solution of delay differential equations. We focus on the behaviour of such methods when
they are applied to the linear testproblem U′(t)= λ U (t)+ μ U (t− τ) with τ> 0 and λ, μ
complex. A general theorem is presented which can be used to obtain complete
characterizations of the stability regions of these methods.
solution of delay differential equations. We focus on the behaviour of such methods when
they are applied to the linear testproblem U′(t)= λ U (t)+ μ U (t− τ) with τ> 0 and λ, μ
complex. A general theorem is presented which can be used to obtain complete
characterizations of the stability regions of these methods.
Summary
This paper deals with the stability analysis of step-by-step methods for the numerical solution of delay differential equations. We focus on the behaviour of such methods when they are applied to the linear testproblemU′(t)=λU(t)+μU(t−τ) with τ>0 and λ, μ complex. A general theorem is presented which can be used to obtain complete characterizations of the stability regions of these methods.
Springer
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