References & Citations
Mathematics > Numerical Analysis
Title: Unisolvence of random Kansa collocation by Thin-Plate Splines for the Poisson equation
(Submitted on 11 Mar 2024 (v1), last revised 26 Mar 2024 (this version, v2))
Abstract: Existence of sufficient conditions for unisolvence of Kansa unsymmetric collocation for PDEs is still an open problem. In this paper we make a first step in this direction, proving that unsymmetric collocation matrices with Thin-Plate Splines for the 2D Poisson equation are almost surely nonsingular, when the discretization points are chosen randomly on domains with analytic boundary.
Submission history
From: Alvise Sommariva [view email][v1] Mon, 11 Mar 2024 12:07:41 GMT (8kb)
[v2] Tue, 26 Mar 2024 18:10:41 GMT (8kb)
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