26 citations · 93 across the 29 of their papers we have counts for
4 papers · 1 filter
Krylov approximation of ODEs with polynomial parameterization
Antti Koskela, Elias Jarlebring, Michiel E. Hochstenbach
We propose a new numerical method to solve linear ordinary differential equations of the type , w…
Iterative methods for the delay Lyapunov equation with T-Sylvester preconditioning
Elias Jarlebring, Federico Poloni
The delay Lyapunov equation is an important matrix boundary-value problem which arises as an analogue of the Lyapunov equation in the study of time-delay systems $\dot{x}(t) = A_0x…
The waveguide eigenvalue problem and the tensor infinite Arnoldi method
Elias Jarlebring, Giampaolo Mele, Olof Runborg
We present a new computational approach for a class of large-scale nonlinear eigenvalue problems (NEPs) that are nonlinear in the eigenvalue. The contribution of this paper is two-…
The infinite Arnoldi exponential integrator for linear inhomogeneous ODEs
Antti Koskela, Elias Jarlebring
Exponential integrators that use Krylov approximations of matrix functions have turned out to be efficient for the time-integration of certain ordinary differential equations (ODEs…