Zobrazeno 1 - 10
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pro vyhledávání: '"Fabio, V."'
In this paper we investigate the existence, uniqueness and approximation of solutions of delay differential equations (DDEs) with the right-hand side functions $f=f(t,x,z)$ that are Lipschitz continuous with respect to $x$ but only H\"older continuou
Externí odkaz:
http://arxiv.org/abs/2401.11658
For solving problems from the domain of Mobility-on-Demand (MoD), we often need to connect vehicle plans into plans spanning longer time, a process we call plan chaining. As we show in this work, chaining of the plans can be used to reduce the size o
Externí odkaz:
http://arxiv.org/abs/2401.02873
We study the implementation of a Chebyshev spectral method with forward Euler integrator to investigate a peridynamic nonlocal formulation of Richards' equation. We prove the convergence of the fully-discretization of the model showing the existence
Externí odkaz:
http://arxiv.org/abs/2401.00171
In this paper, we introduce new generalized barycentric coordinates (coined as {\em moment coordinates}) on nonconvex quadrilaterals and convex hexahedra with planar faces. This work draws on recent advances in constructing interpolants to describe t
Externí odkaz:
http://arxiv.org/abs/2309.02441
In this paper we introduce an optimal control approach to Richards' equation in an irrigation framework, aimed at minimizing water consumption while maximizing root water uptake. We first describe the physics of the nonlinear model under consideratio
Externí odkaz:
http://arxiv.org/abs/2307.06217
Autor:
Difonzo, Fabio V.
Letting $P$ be a convex polytope in $\mathbb{R}^d$ with $n>d$ vertices, we study geometric and analytical properties of the set of generalized barycentric coordinates relative to any point $p\in P$. We prove that such sets are polytopes in $\mathbb{R
Externí odkaz:
http://arxiv.org/abs/2306.00710
Publikováno v:
Discrete Applied Mathematics, Volume 332, 15 June 2023, Pages 135-154
Sequence comparison is a basic task to capture similarities and differences between two or more sequences of symbols, with countless applications such as in computational biology. An alignment is a way to compare sequences, where a giving scoring fun
Externí odkaz:
http://arxiv.org/abs/2303.08725
Autor:
Dieci, Luca, Difonzo, Fabio V.
We prove that Mean Value mapping between convex quadrilaterals is injective, affirmatively proving a conjecture stated in M. S. Floater and J. Kosinka, On the injectivity of Wachspress and mean value mappings between convex polygons, Adv. in Comp. Ma
Externí odkaz:
http://arxiv.org/abs/2208.01037
Stochastic differential equations of Langevin-diffusion form have received significant attention, thanks to their foundational role in both Bayesian sampling algorithms and optimization in machine learning. In the latter, they serve as a conceptual m
Externí odkaz:
http://arxiv.org/abs/2206.11533
Publikováno v:
Journal of Computational and Applied Mathematics (2023)
In this paper we address the existence, uniqueness and approximation of solutions of delay differential equations (DDEs) with Carath\'eodory type right-hand side functions. We provide construction of randomized Euler scheme for DDEs and investigate i
Externí odkaz:
http://arxiv.org/abs/2204.02016