Error of One-leg Methods for Singular Perturbation Problems with Delays
Copyright policy )Error of One-leg Methods for Singular Perturbation Problems with Delays
The paper deals with the error behaviour of A-stable one-leg integration schemes applied to the singularly perturbed differential-delayed system \(x'(t)= f(z(t))\), \(\varepsilon y'(t)= g(z(t))\) for \(t\in [0, T]\) and \(x(t)= \varphi(t)\), \(y(t)= \psi(t)\) for \(t\leq 0\), where \(z(t)= (x(t), x(t-\tau),y(t), y(t-\tau))\) and \(\varepsilon> 0\) is a small parameter.
- Tsinghua University China (People's Republic of)
- Chinese Academy of Sciences China (People's Republic of)
- Academy of Mathematics and Systems Science China (People's Republic of)
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, one-leg methods, Singular perturbations of functional-differential equations, differential-delayed system, Numerical approximation of solutions of functional-differential equations, A-stability, Stability and convergence of numerical methods for ordinary differential equations, Numerical methods for initial value problems involving ordinary differential equations, singular perturbation, error analysis, Error bounds for numerical methods for ordinary differential equations
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, one-leg methods, Singular perturbations of functional-differential equations, differential-delayed system, Numerical approximation of solutions of functional-differential equations, A-stability, Stability and convergence of numerical methods for ordinary differential equations, Numerical methods for initial value problems involving ordinary differential equations, singular perturbation, error analysis, Error bounds for numerical methods for ordinary differential equations
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!