Stability analysis of linear multistep methods for delay differential equations
Open Access
- 28 January 1986
- journal article
- research article
- Published by Wiley in International Journal of Mathematics and Mathematical Sciences
- Vol. 9 (3) , 447-458
- https://doi.org/10.1155/s0161171286000583
Abstract
Stability properties of linear multistep methods for delay differential equations with respect to the test equation urn:x-wiley:01611712:media:ijmm768965:ijmm768965-math-0001 0 < λ < 1, are investigated. It is known that the solution of this equation is bounded if and only if |a| < −b and we examine whether this property is inherited by multistep methods with Lagrange interpolation and by parametrized Adams methods.Keywords
Funding Information
- National Science Foundation (PRM-8011447)
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