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Bujanda Cirauqui, Blanca

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https://academica-e.unavarra.es/handle/2454/48757

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Bujanda Cirauqui

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Blanca

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Estadística, Informática y Matemáticas

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InaMat2. Instituto de Investigación en Materiales Avanzados y Matemáticas

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0000-0001-7867-8805

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2455

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Author: Jorge Ulecia, Juan Carlos × Start date: 2020 ×

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    New fractional step Runge-Kutta-Nyström methods up to order three
    (Elsevier, 2020) Bujanda Cirauqui, Blanca; Moreta, M. Jesús; Jorge Ulecia, Juan Carlos; Estatistika, Informatika eta Matematika; Institute for Advanced Materials and Mathematics - INAMAT2; Institute of Smart Cities - ISC; Estadística, Informática y Matemáticas
    Fractional Step Runge–Kutta–Nyströ (FSRKN) methods have been revealed to be an excellent option to integrate numerically many multidimensional evolution models governed by second order in time partial differential equations. These methods, combined with suitable spatial discretizations, lead to strong computational cost reductions respect to many classical implicit time integrators. In this paper, we present the construction process of several implicit FSRKN methods of two and three levels which attain orders up to three and satisfy adequate stability properties. We have also performed some numerical experiments in order to show the unconditionally convergent behavior of these schemes as well as their computational advantages.