5 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…
Lanczos-like algorithm for the time-ordered exponential: The -inverse problem
Pierre-Louis Giscard, Stefano Pozza
The time-ordered exponential of a time-dependent matrix is defined as the function of that solves the first-order system of coupled linear different…
The Gauss quadrature for general linear functionals, Lanczos algorithm, and minimal partial realization
Stefano Pozza, Miroslav S. Pranić
The concept of Gauss quadrature can be generalized to approximate linear functionals with complex moments. Following the existing literature, this survey will revisit such generali…