9 citations · 14 across the 7 of their papers we have counts for
7 papers
Quantum Rational Transformation Using Linear Combinations of Hamiltonian Simulations
Yizhi Shen, Niel Van Buggenhout, Daan Camps +2
Rational functions are exceptionally powerful tools in scientific computing, yet their abilities to advance quantum algorithms remain largely untapped. In this paper, we introduce…
An Arnoldi-based approach to polynomial and rational least squares problems
Amin Faghih, Marc Van Barel, Niel Van Buggenhout +1
In this research, we solve polynomial, Sobolev polynomial, rational, and Sobolev rational least squares problems. Although the increase in the approximation degree allows us to fit…
A new fast numerical method for the generalized Rosen-Zener model
Christian Bonhomme, Stefano Pozza, Niel Van Buggenhout
In quantum mechanics, the Rosen-Zener model represents a two-level quantum system. Its generalization to multiple degenerate sets of states leads to larger non-autonomous linear sy…
A new Legendre polynomial-based approach for non-autonomous linear ODEs
Stefano Pozza, Niel Van Buggenhout
We introduce a new method with spectral accuracy to solve linear non-autonomous ordinary differential equations (ODEs) of the kind $ \frac{d}{dt}\tilde{u}(t) = \tilde{f}(t) \tilde{…
On generating Sobolev orthogonal polynomials
Niel Van Buggenhout
Sobolev orthogonal polynomials are polynomials orthogonal with respect to a Sobolev inner product, an inner product in which derivatives of the polynomials appear. They satisfy a l…
Algorithms for Modifying Recurrence Relations of Orthogonal Polynomial and Rational Functions when Changing the Discrete Inner Product
Marc Van Barel, Niel Van Buggenhout, Raf Vandebril
Often, polynomials or rational functions, orthogonal for a particular inner product are desired. In practical numerical algorithms these polynomials are not constructed, but instea…
A Lanczos-type procedure for tensors
S. Cipolla, S. Pozza, M. Redivo-Zaglia +1
The solution of linear non-autonomous ordinary differential equation systems (also known as the time-ordered exponential) is a computationally challenging problem arising in a vari…