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High order second derivative diagonally implicit multistage integration methods for ODEs
Mathematical Modelling and Analysis, 2023 Construction of second derivative diagonally implicit multistage integration methods (SDIMSIMs) as a subclass of second derivative general linear methods with Runge–Kutta stability property requires to generate the corresponding conditions depending of ...
Mohammad Sharifi +3 more
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A General Multibody Approach for the Linear and Nonlinear Stability Analysis of Bicycle Systems. Part I: Methods of Constrained Dynamics [PDF]
Journal of Applied and Computational Mechanics, 2021 This investigation is the first contribution of a two-part research work concerning the theoretical development of a multibody approach to analyze the constrained dynamics of articulated mechanical systems.
Carmine Maria Pappalardo +2 more
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High order second derivative methods with Runge--Kutta stability for the numerical solution of stiff ODEs [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2015 We describe the construction of second derivative general linear methods (SGLMs) of orders five and six. We will aim for methods which are A--stable and have Runge--Kutta stability property. Some numerical results are given to show the efficiency of
Ali Abdi, Gholamreza Hojjati
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Approximate controllability of second order infinite dimensional systems [PDF]
Archives of Control Sciences, 2021 In the paper approximate controllability of second order infinite dimensional system with damping is considered. Applying linear operators in Hilbert spaces general mathematical model of second order dynamical systems with damping is presented.
Jerzy Klamka, Asatur Zh. Khurshudyan
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Numerical solution of stiff systems of differential equations arising from chemical reactions [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2014 Long time integration of large stiff systems of initial value problems, arising from chemical reactions, demands efficient methods with good accuracy and extensive absolute stability region.
Gholamreza Hojjati +3 more
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Second derivative General Linear Method in Nordsieck form
Journal of Numerical Analysis and Approximation Theory, 2019 This paper considers the construction of second derivative general linear methods (SD-GLM) from hybrid LMM and their transformation to Nordsieck GLM. How the Runge-Kutta starters for the methods can be derived are given.
Robert I. Okuonghae +1 more
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Efficient General Linear Methods of High Order with Inherent Quadratic Stability
Mathematical Modelling and Analysis, 2014 We search for general linear methods with s internal stages and r = s + 1 external stages of order p = s + 1 and stage order q = s. We require that stability function of these methods has only two non-zero roots.
Michal Bras, Zdzislaw Jackiewicz
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Mathematical Modelling and Analysis, 2019 In this paper, we describe the construction of a class of methods with a large area of the stability region for solving Volterra integro-differential equations.
Hassan Mahdi +2 more
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Investigación e Innovación en Ingenierías, 2021 Objetivo: realizar un estudio comparativo entre las soluciones numéricas de sistemas de ecuaciones diferenciales ordinarias tipo Stiff obtenidas con el método General Linear Method (GLM) y dos solvers del software matemático MATLAB como ode45 y ode15s ...
Mayra Alejandra Vega Niño +2 more
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Construction of efficient general linear methods for non-stiff differential systems
Mathematical Modelling and Analysis, 2012 This paper describes the construction of explicit general linear methods in Nordsieck form with inherent quadratic stability and large areas of the stability region.
Michal Bra´s, Angelamaria Cardone
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