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International Journal of Computer Mathematics Volume 82, 2005 - Issue 1
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Implicit Runge–Kutta methods based on Lobatto quadrature formula

Hongyu Liu Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong KongCorrespondence[email protected]
&
Geng Sun Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100080, P.R. China
Pages 77-88 | Received 28 May 2004, Published online: 25 Jan 2007

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Sanjay Kumar Khattri. (2010) From Lobatto Quadrature to the Euler Constant e . PRIMUS 20:6, pages 488-497.
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Xiaohua Ding & Jiabo Tan. (2009) Implicit Runge–Kutta methods based on Radau quadrature formula. International Journal of Computer Mathematics 86:8, pages 1394-1404.
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Vsevolod G. Sorokin & Andrei V. Vyazmin. (2022) Nonlinear Reaction–Diffusion Equations with Delay: Partial Survey, Exact Solutions, Test Problems, and Numerical Integration. Mathematics 10:11, pages 1886.
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Mario Versaci, Nadia Mammone, Cosimo Ieracitano & Francesco Carlo Morabito. (2021) Micropumps for drug delivery systems: a new semi-linear elliptic boundary-value problem. Computational and Applied Mathematics 40:2.
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Janez Urevc & Miroslav Halilovič. (2021) Enhancing Accuracy of Runge–Kutta-Type Collocation Methods for Solving ODEs. Mathematics 9:2, pages 174.
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Jingjun Zhao, Yan Fan & Yang Xu. (2017) Delay-dependent stability of symmetric Runge–Kutta methods for second order delay differential equations with three parameters. Applied Numerical Mathematics 117, pages 103-114.
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Jingjun Zhao, Yan Fan & Yang Xu. (2017) Stability of Symmetric Runge--Kutta Methods for Neutral Delay Integro-Differential Equations. SIAM Journal on Numerical Analysis 55:1, pages 328-348.
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B. Sanderse. (2013) Energy-conserving Runge–Kutta methods for the incompressible Navier–Stokes equations. Journal of Computational Physics 233, pages 100-131.
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