We consider a numerical method based on the Magnus series expansion, and show its second-order convergence when applied to a system of quasilinear delay equations. As an application, we take the delayed epidemic model and illustrate our results with numerical experiments
AbstractPeriodic solutions for a class of delay integral equations modeling epidemics are shown to b...
AbstractSome authors proposed to approximate the solutions of delay-differential equations by ordina...
Approximate resolution of linear systems of differential equations with varying coefficients is a re...
We consider a numerical method based on the Magnus series expansion, and show its second-order conve...
We rewrite abstract delay equations as nonautonomous abstract Cauchy problems allowing us to introdu...
We rewrite abstract delay equations to nonautonomous abstract Cauchy problems allowing us to introdu...
We rewrite abstract delay equations as nonautonomous abstract Cauchy problems allowing us to introdu...
A procedure to numerically integrate non-autonomous linear delay differential equations is presented...
Magnus integrator and successive approximation for solving time-dependent problems. The Magnus expan...
Approximate resolution of linear systems of differential equations with varying coefficients is a re...
Approximate resolution of linear systems of differential equations with varying coefficients is a re...
AbstractWe analyse stability and convergence properties of a second-order Magnus-type integrator for...
Abstract. Numerical methods based on the Magnus expansion are an e±cient class of integra-tors for S...
We study high-order Magnus-type exponential integrators for large systems of ordinary differential e...
Explicit numerical integration algorithms up to order four based on the Magnus expansion for nonline...
AbstractPeriodic solutions for a class of delay integral equations modeling epidemics are shown to b...
AbstractSome authors proposed to approximate the solutions of delay-differential equations by ordina...
Approximate resolution of linear systems of differential equations with varying coefficients is a re...
We consider a numerical method based on the Magnus series expansion, and show its second-order conve...
We rewrite abstract delay equations as nonautonomous abstract Cauchy problems allowing us to introdu...
We rewrite abstract delay equations to nonautonomous abstract Cauchy problems allowing us to introdu...
We rewrite abstract delay equations as nonautonomous abstract Cauchy problems allowing us to introdu...
A procedure to numerically integrate non-autonomous linear delay differential equations is presented...
Magnus integrator and successive approximation for solving time-dependent problems. The Magnus expan...
Approximate resolution of linear systems of differential equations with varying coefficients is a re...
Approximate resolution of linear systems of differential equations with varying coefficients is a re...
AbstractWe analyse stability and convergence properties of a second-order Magnus-type integrator for...
Abstract. Numerical methods based on the Magnus expansion are an e±cient class of integra-tors for S...
We study high-order Magnus-type exponential integrators for large systems of ordinary differential e...
Explicit numerical integration algorithms up to order four based on the Magnus expansion for nonline...
AbstractPeriodic solutions for a class of delay integral equations modeling epidemics are shown to b...
AbstractSome authors proposed to approximate the solutions of delay-differential equations by ordina...
Approximate resolution of linear systems of differential equations with varying coefficients is a re...