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International Journal of Computer Mathematics Volume 88, 2011 - Issue 5
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Section B

Stability analysis of Runge–Kutta methods for differential equations with piecewise continuous arguments of mixed type

Qi Wang Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen, 518055, China; Faculty of Applied Mathematics, Guangdong University of Technology, Guangzhou, 510006, China
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Qingyong Zhu Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen, 518055, China; Department of Applied Mechanics and Engineering, Sun Yat-sen University, Guangzhou, 510275, ChinaCorrespondence[email protected]
Pages 1052-1066 | Received 25 Dec 2009, Accepted 01 May 2010, Published online: 02 Feb 2011

Citations (11)

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Read on this site (2)

Qi Wang & Xiaoming Wang. (2019) Stability of θ-schemes for partial differential equations with piecewise constant arguments of alternately retarded and advanced type. International Journal of Computer Mathematics 96:12, pages 2352-2370.
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Shuying Zhai, Xinlong Feng & Demin Liu. (2013) A Novel Method to Deduce a High-Order Compact Difference Scheme for the Three-Dimensional Semilinear Convection-Diffusion Equation with Variable Coefficients. Numerical Heat Transfer, Part B: Fundamentals 63:5, pages 425-455.
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Articles from other publishers (9)

Yongtang Chen & Qi Wang. (2023) Convergence and stability of Galerkin finite element method for hyperbolic partial differential equation with piecewise continuous arguments. Numerical Methods for Partial Differential Equations 39:5, pages 3754-3776.
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Ying Xie & Chengjian Zhang. (2020) Compensated split-step balanced methods for nonlinear stiff SDEs with jump-diffusion and piecewise continuous arguments. Science China Mathematics 63:12, pages 2573-2594.
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Jianfang Gao. (2017) Numerical oscillation and non-oscillation for differential equation with piecewise continuous arguments of mixed type. Applied Mathematics and Computation 299, pages 16-27.
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Qi Wang. (2017) Stability analysis of parabolic partial differential equations with piecewise continuous arguments. Numerical Methods for Partial Differential Equations 33:2, pages 531-545.
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Qi Wang. (2016) The Numerical Asymptotically Stability of a Linear Differential Equation with Piecewise Constant Arguments of Mixed Type. Acta Applicandae Mathematicae 146:1, pages 145-161.
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Qi Wang & Shen-shan Qiu. (2014) Oscillation of numerical solution in the Runge-Kutta methods for equation x′(t) = ax(t) + a 0 x([t]). Acta Mathematicae Applicatae Sinica, English Series 30:4, pages 943-950.
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Hui Liang, M.Z. Liu & Z.W. Yang. (2014) Stability analysis of Runge–Kutta methods for systems. Applied Mathematics and Computation 228, pages 463-476.
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Qi Wang & Jiechang Wen. (2014) Analytical and numerical stability of partial differential equations with piecewise constant arguments. Numerical Methods for Partial Differential Equations 30:1, pages 1-16.
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Qi Wang, Jiechang Wen & Shenshan Qiu. (2013) Euler-Maclaurin Method for Linear Differential Equations with Piecewise Constant Arguments with One Delay: Stability and Oscillations. Abstract and Applied Analysis 2013, pages 1-9.
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