Fixed step discretisation methods for delay differential equations
β Scribed by K. Allen; S. Mckee
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 622 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0898-1221
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π SIMILAR VOLUMES
We investigate stability properties of two-step Runge-Kutta methods with respect to the linear test equation y'(t) = ay(t) + by(t -T), t > O, where a and b are complex parameters. It is known that the solution y(t) to this equation tends to zero as t --~ oc if Ibl < -Re(a). We will show that under
this paper, variable stepsize multistep methods for delay differential equations of the type y(t) = f(t,?l(t),y(t -r)) are proposed. Error bounds for the global discretization error of variable stepsize multistep methods for delay differential equations are explicitly computed. It is proved that a