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Stability of one-step and linear multistep methods - a matrix technique approach

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Publication:4591180
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DOI10.14232/ejqtde.2016.8.15zbMath1413.65293OpenAlexW2528493515MaRDI QIDQ4591180

Miklós Emil Mincsovics

Publication date: 10 November 2017

Published in: Proceedings of The 10'th Colloquium on the Qualitative Theory of Differential Equations (July 1–4, 2015, Szeged, Hungary) edited by: T. Krisztin (Search for Journal in Brave)

Full work available at URL: http://real.mtak.hu/45158/1/p4246.pdf


zbMATH Keywords

stabilitylinear multistep methodsM-matrix theory


Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)


Related Items (4)

Density function of random differential equations via finite difference schemes: a theoretical analysis of a random diffusion-reaction Poisson-type problem ⋮ Note on Weakly and Strongly Stable Linear Multistep Methods ⋮ Constructing reliable approximations of the probability density function to the random heat PDE via a finite difference scheme ⋮ Discrete \(C^1\) convergence of linear multistep methods




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