Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Pozza, Stefano"'
Autor:
Pozza, Stefano
We present the first formulation of the optimal polynomial approximation of the solution of linear non-autonomous systems of ODEs in the framework of the so-called $\star$-product. This product is the basis of new approaches for the solution of such
Externí odkaz:
http://arxiv.org/abs/2404.19645
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 system of ordinary differential equations (ODEs). We propose a new metho
Externí odkaz:
http://arxiv.org/abs/2311.04144
Autor:
Pozza, Stefano, Van Buggenhout, Niel
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{u}(t)$, $\tilde{u}(-1)=1$, with $\tilde{f}(t)$ an analytic function. T
Externí odkaz:
http://arxiv.org/abs/2303.11284
Autor:
Pozza, Stefano
A new expression for solving homogeneous linear ODEs based on a generalization of the Volterra composition was recently introduced. In this work, we extend such an expression, showing that it corresponds to inverting an infinite matrix. This is done
Externí odkaz:
http://arxiv.org/abs/2302.11375
Autor:
Pozza, Stefano, Van Buggenhout, Niel
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 method with spectral accuracy has been recently introduced in the scalar
Externí odkaz:
http://arxiv.org/abs/2210.07052
Autor:
Pozza, Stefano, Van Buggenhout, Niel
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 of such ODEs as an element in the so called $\star$-algebra. This alg
Externí odkaz:
http://arxiv.org/abs/2209.15533
Autor:
Pozza, Stefano, Van Buggenhout, Niel
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 of the Volterra composition. In this work, we explain the main ideas
Externí odkaz:
http://arxiv.org/abs/2209.13322
Rational Krylov subspaces have become a reference tool in dimension reduction procedures for several application problems. When data matrices are symmetric, a short-term recurrence can be used to generate an associated orthonormal basis. In the past
Externí odkaz:
http://arxiv.org/abs/2103.04054
Autor:
Giscard, Pierre-Louis, Pozza, Stefano
Publikováno v:
Applications of Mathematics, (2020), 1-21
The time-ordered exponential of a time-dependent matrix $\mathsf{A}(t)$ is defined as the function of $\mathsf{A}(t)$ that solves the first-order system of coupled linear differential equations with non-constant coefficients encoded in $\mathsf{A}(t)
Externí odkaz:
http://arxiv.org/abs/1910.05143
Autor:
Giscard, Pierre-Louis, Pozza, Stefano
The time-ordered exponential is defined as the function that solves a system of coupled first-order linear differential equations with generally non-constant coefficients. In spite of being at the heart of much system dynamics, control theory, and mo
Externí odkaz:
http://arxiv.org/abs/1909.03437