RUNGE-KUTTA_METHODS

作品数:63被引量:92H指数:4
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相关作者:刘梅林刘少斌王志勇李寿佛甘四清更多>>
相关机构:华东师范大学南京航空航天大学哈尔滨工业大学(威海)电子科技大学更多>>
相关期刊:《Journal of Computational Mathematics》《Advances in Aerodynamics》《Transactions of Nanjing University of Aeronautics and Astronautics》《Applied Mathematics and Mechanics(English Edition)》更多>>
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Production of the Reduction Formula of Seventh Order Runge-Kutta Method with Step Size Control of an Ordinary Differential Equation
《Applied Mathematics》2022年第4期325-337,共13页Georgios D. Trikkaliotis Maria Ch. Gousidou-Koutita 
The purpose of the present work is to construct a nonlinear equation system (85 × 53) using Butcher’s Table and then by solving this system to find the values of all set parameters and finally the reduction formula ...
关键词:Initial Value Problem Runge-Kutta Methods Ordinary Differential Equations 
Derivation of the Reduction Formula of Sixth Order and Seven Stages Runge-Kutta Method for the Solution of an Ordinary Differential Equation
《Applied Mathematics》2022年第4期338-355,共18页Georgios D. Trikkaliotis Maria Ch. Gousidou-Koutita 
This paper is describing in detail the way we define the equations which give the formulas in the methods Runge-Kutta 6th order 7 stages with the incorporated control step size in the numerical solution of ...
关键词:Initial Value Problem Runge-Kutta Methods Ordinary Differential Equations 
Design and Analysis of Some Third Order Explicit Almost Runge-Kutta Methods
《Applied Mathematics》2016年第1期13-21,共9页Abdulrahman Ndanusa Khadeejah James Audu 
In this paper, we propose two new explicit Almost Runge-Kutta (ARK) methods, ARK3 (a three stage third order method, i.e., s = p = 3) and ARK34 (a four-stage third-order method, i.e., s = 4, p = 3), for the numerical ...
关键词:Almost Runge-Kutta Stability Consistency Convergence Order Conditions Rooted Trees 
Two Implicit Runge-Kutta Methods for Stochastic Differential Equation
《Applied Mathematics》2012年第10期1103-1108,共6页Fuwen Lu Zhiyong Wang 
In this paper, the Ito-Taylor expansion of stochastic differential equation is briefly introduced. The colored rooted tree theory is applied to derive strong order 1.0 implicit stochastic Runge-Kutta method(SRK). Two ...
关键词:STOCHASTIC DIFFERENTIAL EQUATION IMPLICIT STOCHASTIC RUNGE-KUTTA Method Order Condition 
Stepsize Selection in Explicit Runge-Kutta Methods for Moderately Stiff Problems
《Applied Mathematics》2011年第6期711-717,共7页Justin Steven Calder Prentice 
We present an algorithm for determining the stepsize in an explicit Runge-Kutta method that is suitable when solving moderately stiff differential equations. The algorithm has a geometric character, and is based on a ...
关键词:Moderately STIFF Problems RUNGE-KUTTA Stepsize JACOBIAN Stability Region 
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