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International Journal of Computer Mathematics Volume 93, 2016 - Issue 11
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Original Articles

Stability and convergence analysis of implicit–explicit one-leg methods for stiff delay differential equations

Gengen ZhangSchool of Mathematics and Computational Science, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, Hunan411105, ChinaView further author information
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Aiguo XiaoSchool of Mathematics and Computational Science, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, Hunan411105, ChinaCorrespondence[email protected]
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Pages 1964-1983 | Received 18 Jan 2015, Accepted 30 Jul 2015, Published online: 02 Sep 2015

Citations (8)

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Read on this site (2)

Gengen Zhang & Xinjie Dai. (2021) Superconvergence of discontinuous Galerkin method for neutral delay differential equations. International Journal of Computer Mathematics 98:8, pages 1648-1662.
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Gengen Zhang, Aiguo Xiao & Jie Zhou. (2018) Implicit–explicit multistep finite-element methods for nonlinear convection-diffusion-reaction equations with time delay. International Journal of Computer Mathematics 95:12, pages 2496-2510.
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Articles from other publishers (6)

Wansheng Wang, Chengyu Jin & Yunqing Huang. (2023) Recovering critical parameter for nonlinear Allen–Cahn equation by fully discrete continuous data assimilation algorithms * . Inverse Problems 40:1, pages 015008.
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Tao Long & Yuexin Yu. (2023) Stability analysis of implicit–explicit -methods for composite stiff neutral functional differential equations in Banach space . Journal of Computational and Applied Mathematics 419, pages 114760.
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Zengqiang Tan & Chengjian Zhang. (2022) Numerical approximation to semi-linear stiff neutral equations via implicit–explicit general linear methods. Mathematics and Computers in Simulation 196, pages 68-87.
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Yunfei Li & Shoufu Li. (2021) Classical Theory of Linear Multistep Methods for Volterra Functional Differential Equations. Discrete Dynamics in Nature and Society 2021, pages 1-15.
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Yongtao Zhou & Chengjian Zhang. (2019) One-leg methods for nonlinear stiff fractional differential equations with Caputo derivatives. Applied Mathematics and Computation 348, pages 594-608.
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Zengqiang Tan & Chengjian Zhang. (2018) Implicit-explicit one-leg methods for nonlinear stiff neutral equations. Applied Mathematics and Computation 335, pages 196-210.
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