Results 11 to 20 of about 11,022,643 (271)
Global error estimation of linear multistep methods through the Runge-Kutta methods [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2016 In this paper, we study the global truncation error of the linear multistep methods (LMM) in terms of local truncation error of the corresponding Runge-Kutta schemes. The key idea is the representation of LMM with a corresponding Runge-Kutta method.
Javad Farzi
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Shooting continuous Runge–Kutta method for delay optimal control problems [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 In this paper, we present an efficient method to solve linear time-delay optimal control problems with a quadratic cost function. In this regard, first, by employing the Pontryagin maximum principle to time-delay systems, the original problem is converted
T. Khanbehbin +3 more
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Different approaches in GLONASS orbit computation from broadcast ephemeris [PDF]
Geodetski Vestnik, 2016 Several types of methods can solve equations of satellite motion numerically. These methods are divided into single and multi-step methods. The accuracy of each method depends directly on adopted integration step size between successive iterations.
Kamil Maciuk
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Computational Techniques Based on Runge-Kutta Method of Various Order and Type for Solving Differential Equations [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2019 The Runge-Kutta method is a one step method with multiple stages, the number of stages determine order of method. The method can be applied to work out on differential equation of the type’s explicit, implicit, partial and delay differential equation etc.
Vijeyata Chauhan +1 more
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Strong approximation for Itô stochastic differential equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2015 In this paper, a class of semi-implicit two-stage stochastic Runge-Kutta methods (SRKs) of strong global order one, with minimum principal error constants are given.
Mehran Namjoo
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Positivity of an explicit Runge–Kutta method
Ain Shams Engineering Journal, 2015 This paper deals with the numerical solution of initial value problems (IVPs), for systems of ordinary differential equations (ODEs), by an explicit fourth-order Runge–Kutta method (we will refer to it as the classical fourth-order method) with special ...
M. Mehdizadeh Khalsaraei
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Runge-Kutta methods are stable
CoRR, 2023 We prove that Runge-Kutta (RK) methods for numerical integration of arbitrarily large systems of Ordinary Differential Equations are linearly stable. Standard stability arguments -- based on spectral analysis, resolvent condition or strong stability, fail to secure the stability of arbitrarily large RK systems.
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Absolute stability of runge-kutta method [PDF]
, 2022 The Runge-Kutta method is a popular method for solving initial value problem. It is most accurate and stable method. It arise when Leonhard Euler have made improvements on Euler method to produce Improved Euler method.
Marasinghe, M. M. J. P., Komathiraj, K.
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Volume preservation by Runge–Kutta methods [PDF]
Applied Numerical Mathematics, 2016 17 pages, as submitted to ...
Bader, Philipp +3 more
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Structure-Preserving Analysis of Skeleton Structure of Solar Sail in the Deploying Process [PDF]
Xibei Gongye Daxue Xuebao, 2018 For the simplified dynamic model of the skeleton structure of solar sail in the solar power satellite via arbitrarily large phased array system (SPS-ALPHA) in the deploying process, the symplectic method is employed to simulate the dynamic behaviors of ...
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