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Beatrice Paternoster
Researcher at University of Salerno
Publications - 150
Citations - 2291
Beatrice Paternoster is an academic researcher from University of Salerno. The author has contributed to research in topics: Ordinary differential equation & Runge–Kutta methods. The author has an hindex of 28, co-authored 126 publications receiving 1918 citations.
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Runge-Kutta(-Nystro¨m) methods for ODEs with periodic solutions based on trigonometric polynomials
TL;DR: Using the linear stage representation of a Runge-Kutta method given in Albrecht's approach, the methods which integrate trigonometric polynomials exactly are derived.
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Multistep collocation methods for Volterra Integral Equations
TL;DR: In this article, the authors introduce multistep collocation methods for numerical integration of Volterra Integral Equations, which depend on the numerical solution in a fixed number of previous time steps.
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Present state-of-the-art in exponential fitting. A contribution dedicated to Liviu Ixaru on his 70th birthday
TL;DR: This work considers various directions of interest, tries to integrate the new contributions in a natural, easy to follow way, and detects some open problems of acute interest in exponential fitting.
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A conditionally P-stable fourth-order exponential-fitting method for y '' = f ( f, y )
L.Gr. Ixaru,Beatrice Paternoster +1 more
TL;DR: In this article, the stability properties of a P-stable multistep algorithm with an order greater than two were studied, and it was shown that this algorithm is conditionally P-stable with θmax = 3.4.
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Two-step almost collocation methods for Volterra integral equations
TL;DR: A new class of continuous methods for Volterra integral equations is constructed by using a collocation technique and by relaxing some of the collocation conditions in order to obtain good stability properties.