The Numerical Stability of Linear Multistep Methods for Delay Differential Equations with Many Delays

1996 ◽  
Vol 33 (3) ◽  
pp. 883-889 ◽  
Author(s):  
Tian Hong-Jiong ◽  
Kuang Jiao-Xun
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Numerical Stability ◽  
Multistep Methods ◽  
Linear Multistep Methods ◽  
Delay Differential

scholarly journals Stability analysis of linear multistep methods for delay differential equations

1986 ◽  
Vol 9 (3) ◽  
pp. 447-458 ◽  
Author(s):  
V. L. Bakke ◽  
Z. Jackiewicz
Keyword(s):  
Stability Analysis ◽  
Differential Equations ◽  
Delay Differential Equations ◽  
Lagrange Interpolation ◽  
Multistep Methods ◽  
Linear Multistep Methods ◽  
Stability Properties ◽  
Adams Methods ◽  
Test Equation ◽  
Delay Differential

Stability properties of linear multistep methods for delay differential equations with respect to the test equationy′(t)=ay(λt)+by(t),   t≥0,0<λ<1, are investigated. It is known that the solution of this equation is bounded if and only if|a|<−band we examine whether this property is inherited by multistep methods with Lagrange interpolation and by parametrized Adams methods.

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