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Mathematical Modelling and Analysis Volume 17, 2012 - Issue 2
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Original Articles

Construction of Efficient General Linear Methods for Non-Stiff Differential Systems

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. Stanisława Łojasiewicza 6, 30-348, Krakow, PolandCorrespondence[email protected]
&
Angelamaria Cardone Dipartimento di Matematica, Università degli Studi di Salerno, via Ponte Don Melillo, I-84084, Fisciano, SA, Italy
Pages 171-189 | Received 27 Sep 2011, Accepted 05 Jan 2012, Published online: 07 Mar 2012

Citations (17)

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Read on this site (3)

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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Michał Braś, Angelamaria Cardone & Raffaele D'Ambrosio. (2013) Implementation of explicit Nordsieck methods with inherent quadratic stability. Mathematical Modelling and Analysis 18:2, pages 289-307.
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Articles from other publishers (14)

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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P. RAMAZANI, A. ABDI, G. HOJJATI & A. MORADI. (2022) EXPLICIT NORDSIECK SECOND DERIVATIVE GENERAL LINEAR METHODS FOR ODES. The ANZIAM Journal 64:1, pages 69-88.
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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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Ali Abdi. (2019) General linear methods with large stability regions for Volterra integral equations. Computational and Applied Mathematics 38:2.
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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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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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N. Barghi Oskouie, G. Hojjati & A. Abdi. (2017) Efficient second derivative methods with extended stability regions for non-stiff IVPs. Computational and Applied Mathematics 37:2, pages 2001-2016.
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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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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.
M. Braś & Z. Jackiewicz. (2014) Search for efficient general linear methods for ordinary differential equations. Journal of Computational and Applied Mathematics 262, pages 180-192.
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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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