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
Multistep methods for differential algebraic equations
β Scribed by Xiaopu Yan
- Publisher
- Springer US
- Year
- 1995
- Tongue
- English
- Weight
- 625 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1017-1398
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We approximate the solution of initial boundary value problems for equations of the form Au'(t) =: B(t, u(t)), t E [0, t\*]. A is a linear, selfadjoint, positive definite operator on a Hilbert space (H, (-, .)) and B is a possibly nonlinear operator. We discretize in space by finite element methods
In this paper, variable stepsize multistep methods for higher-order delay differential equations of the type y(')(t) = f(t,y(t),y(t -r)) are proposed. Explicit error bounds for the global discretization error are given. It is proved that a variable multistep method which is a perturbation of strongl