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Mathematical Modelling and Analysis Volume 18, 2013 - Issue 2
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Original Articles

Implementation of explicit Nordsieck methods with inherent quadratic stability

Michał Braś Faculty of Applied Mathematics, AGH University of Science and Technology, al. Mickiewicza 30, 30-059, Krakow, Poland; Faculty of Mathematics and Computer Science, Jagiellonian University, ul. prof. S. Łojasiewicza 6, 30-348, Krakow, PolandCorrespondence[email protected]
,
Angelamaria Cardone Università degli Studi di Salerno, via Ponte Don Melillo, I-84084, Fisciano, SA, Italy
&
Raffaele D'Ambrosio Università degli Studi di Salerno, via Ponte Don Melillo, I-84084, Fisciano, SA, Italy
Pages 289-307 | Received 14 Sep 2012, Accepted 10 Mar 2013, Published online: 12 Apr 2013

Citations (17)

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Read on this site (2)

Michał Braś & Zdzisław Jackiewicz. (2014) Efficient General Linear Methods of High Order with Inherent Quadratic Stability. Mathematical Modelling and Analysis 19:4, pages 450-468.
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Angelamaria Cardone, Zdzisław Jackiewicz, Adrian Sandu & Hong Zhang. (2014) Extrapolated Implicit–Explicit Runge–Kutta Methods. Mathematical Modelling and Analysis 19:1, pages 18-43.
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Articles from other publishers (15)

Afsaneh Moradi, Ali Abdi & Gholamreza Hojjati. (2023) RK-stable second derivative multistage methods with strong stability preserving based on Taylor series conditions. Computational and Applied Mathematics 42:4.
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Angelamaria Cardone. (2023) Stability analysis of ef Gaussian direct quadrature methods for Volterra integral equations. Applied Numerical Mathematics 186, pages 241-251.
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Angelamaria Cardone, Patricia Díaz de Alba & Beatrice Paternoster. (2022) Influence of age group in the spreading of fake news: contact matrices in social media. Influence of age group in the spreading of fake news: contact matrices in social media.
Hassan Mahdi, Gholamreza Hojjati & Ali Abdi. (2019) EXPLICIT GENERAL LINEAR METHODS WITH A LARGE STABILITY REGION FOR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS. Mathematical Modelling and Analysis 24:4, pages 478-493.
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Giuseppe Izzo & Zdzislaw Jackiewicz. (2018) Strong stability preserving transformed DIMSIMs. Journal of Computational and Applied Mathematics 343, pages 174-188.
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M. Braś, A. Cardone, Z. Jackiewicz & P. Pierzchała. (2018) Error propagation for implicit–explicit general linear methods. Applied Numerical Mathematics 131, pages 207-231.
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B. Behzad, B. Ghazanfari & A. Abdi. (2018) Construction of the Nordsieck second derivative methods with RK stability for stiff ODEs. Computational and Applied Mathematics 37:4, pages 5098-5112.
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Angelamaria Cardone, Dajana Conte, Raffaele D’Ambrosio & Beatrice Paternoster. (2018) Collocation Methods for Volterra Integral and Integro-Differential Equations: A Review. Axioms 7:3, pages 45.
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Michał Braś, Angelamaria Cardone, Zdzisław Jackiewicz & Bruno Welfert. (2017) Order reduction phenomenon for general linear methods. Applied Numerical Mathematics 119, pages 94-114.
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Giovanni Capobianco, Dajana Conte & Beatrice Paternoster. (2017) Construction and implementation of two-step continuous methods for Volterra integral equations. Applied Numerical Mathematics 119, pages 239-247.
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A. Cardone, R. D'Ambrosio & B. Paternoster. (2017) High order exponentially fitted methods for Volterra integral equations with periodic solution. Applied Numerical Mathematics 114, pages 18-29.
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Angelamaria Cardone, Zdzisław Jackiewicz, James H. Verner & Bruno Welfert. (2015) Order conditions for general linear methods. Journal of Computational and Applied Mathematics 290, pages 44-64.
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Hong Zhang, Adrian Sandu, Zdzisław Jackiewicz & Angelamaria Cardone. (2015) Construction of highly stable implicit-explicit general linear methods. Construction of highly stable implicit-explicit general linear methods.
Angelamaria Cardone, Zdzislaw Jackiewicz, Adrian Sandu & Hong Zhang. (2013) Extrapolation-based implicit-explicit general linear methods. Numerical Algorithms 65:3, pages 377-399.
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Angelamaria Cardone & Dajana Conte. (2013) Multistep collocation methods for Volterra integro-differential equations. Applied Mathematics and Computation 221, pages 770-785.
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