Low storage explicit Runge-Kutta method

Low storage explicit Runge-Kutta method

This paper we are dealing with the high order accurate low storage explicit Runge Kutta (LSERK) methods which mainly are used for temporal discretization and are stable regardless of its accuracy. The main objective of this paper is to compare traditional RK with different forms of LSERK methods. Th...

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Bibliographic Details
Main Author: Diomar Cesar Lobão
Format: Article
Language:English
Published: Universidade Estadual de Londrina 2019-12-01
Series:Semina: Ciências Exatas e Tecnológicas
Subjects:
lserk
explicit method
runge-kutta
system of ode
Online Access:http://www.uel.br/revistas/uel/index.php/semexatas/article/view/36757
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spelling doaj-de61837f624d451aac2ff37c7605b7a52021-07-01T15:46:44ZengUniversidade Estadual de LondrinaSemina: Ciências Exatas e Tecnológicas1676-54511679-03752019-12-0140212312810.5433/1679-0375.2019v40n2p12319458Low storage explicit Runge-Kutta methodDiomar Cesar Lobão0Universidade Federal Fluminense - UFF/EEIMVRThis paper we are dealing with the high order accurate low storage explicit Runge Kutta (LSERK) methods which mainly are used for temporal discretization and are stable regardless of its accuracy. The main objective of this paper is to compare traditional RK with different forms of LSERK methods. The numerical experiments indicate that such methods are highly accurate and effective for numerical purposes. It’s also shown the CPU time consuming and its solution implications. The method is well suited to achieve high order accurate solution for the scalar second order IVP (Initial Value Problem) problem as it is discussed in the present paper.http://www.uel.br/revistas/uel/index.php/semexatas/article/view/36757lserkexplicit methodrunge-kuttasystem of ode
collection DOAJ
language English
format Article
sources DOAJ
author Diomar Cesar Lobão
spellingShingle Diomar Cesar Lobão
Low storage explicit Runge-Kutta method
Semina: Ciências Exatas e Tecnológicas
lserk
explicit method
runge-kutta
system of ode
author_facet Diomar Cesar Lobão
author_sort Diomar Cesar Lobão
title Low storage explicit Runge-Kutta method
title_short Low storage explicit Runge-Kutta method
title_full Low storage explicit Runge-Kutta method
title_fullStr Low storage explicit Runge-Kutta method
title_full_unstemmed Low storage explicit Runge-Kutta method
title_sort low storage explicit runge-kutta method
publisher Universidade Estadual de Londrina
series Semina: Ciências Exatas e Tecnológicas
issn 1676-5451
1679-0375
publishDate 2019-12-01
description This paper we are dealing with the high order accurate low storage explicit Runge Kutta (LSERK) methods which mainly are used for temporal discretization and are stable regardless of its accuracy. The main objective of this paper is to compare traditional RK with different forms of LSERK methods. The numerical experiments indicate that such methods are highly accurate and effective for numerical purposes. It’s also shown the CPU time consuming and its solution implications. The method is well suited to achieve high order accurate solution for the scalar second order IVP (Initial Value Problem) problem as it is discussed in the present paper.
topic lserk
explicit method
runge-kutta
system of ode
url http://www.uel.br/revistas/uel/index.php/semexatas/article/view/36757
work_keys_str_mv AT diomarcesarlobao lowstorageexplicitrungekuttamethod
_version_ 1721346879881478144

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