5 papers
Rational approximation for Zolotarev sign and ratio problems
Charles Poussot-Vassal, Ion Victor Gosea, Athanasios C. Antoulas
We study algorithms for Zolotarev (3rd and 4th) problems rational approximation. First, we show that the Loewner framework (LF) is appropriate to rapidly and with no iterations, ap…
Tensor-based multivariate function approximation: methods benchmarking and comparison
Charles Poussot-Vassal, Ion Victor Gosea, Pierre Vuillemin +1
We evaluate some methods designed for tensor- (or data-) based multivariate model construction (approximation and compression). To this aim, a collection of multivariate functions…
On the Loewner framework, the Kolmogorov superposition theorem, and the curse of dimensionality
Athanasios C. Antoulas, Ion Victor Gosea, Charles Poussot-Vassal
The Loewner framework is an interpolatory approach for the approximation of linear and nonlinear systems. The purpose here is to extend this framework to linear parametric systems…
Scattering-Passive Structure-Preserving Finite Element Method for the Boundary Controlled Transport Equation with a Moving Mesh
Jesus-Pablo Toledo-Zucco, Denis Matignon, Charles Poussot-Vassal
A structure-preserving Finite Element Method (FEM) for the transport equation in one- and two-dimensional domains is presented. This Distributed Parameter System (DPS) has non-coll…
Structure-Preserving Discretization and Model Order Reduction of Boundary-Controlled 1D Port-Hamiltonian Systems
Jesus-Pablo Toledo-Zucco, Denis Matignon, Charles Poussot-Vassal +1
This paper presents a systematic methodology for the discretization and reduction of a class of one-dimensional Partial Differential Equations (PDEs) with inputs and outputs colloc…