4 papers
A new matrix equation expression for the solution of non-autonomous linear systems of ODEs
Stefano Pozza, Niel Van Buggenhout
The solution of systems of non-autonomous linear ordinary differential equations is crucial in a variety of applications, such us nuclear magnetic resonance spectroscopy. A new met…
The *-product approach for linear ODEs: a numerical study of the scalar case
Stefano Pozza, Niel Van Buggenhout
Solving systems of non-autonomous ordinary differential equations (ODE) is a crucial and often challenging problem. Recently a new approach was introduced based on a generalization…
A -product solver with spectral accuracy for non-autonomous ordinary differential equations
Stefano Pozza, Niel Van Buggenhout
A new method for solving non-autonomous ordinary differential equations is proposed, the method achieves spectral accuracy. It is based on a new result which expresses the solution…
Biorthogonal Extended Krylov Subspace Methods
Niel Van Buggenhout, Marc Van Barel, Raf Vandebril
A general framework for oblique projections of nonhermitian matrices onto rational Krylov subspaces is developed. To obtain this framework we revisit the classical rational Krylov…