Dissipativity of one-leg methods for a class of nonlinear functional-integro-differential equations

DOI10.1016/J.CAM.2016.12.009zbMath1357.65325OpenAlexW2564952544MaRDI QIDQ507843

Qing Liao, Liping Wen

Publication date: 9 February 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.12.009

zbMATH Keywords

numerical exampledynamical systemsdissipativityalgebraic stabilityone-leg methodfunctional-integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items (5)

A new generalization of Halanay-type inequality and its applications ⋮ Stability analysis of discontinuous Galerkin method for stiff Volterra functional differential equations ⋮ Numerical Dynamics of Nonstandard Finite Difference Method for Nonlinear Delay Differential Equation ⋮ Dissipativity of Runge-Kutta methods for a class of nonlinear functional-integro-differential equations ⋮ Delay dependent dissipativity for a class of nonlinear neutral delay differential equations

Cites Work

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• G-stability is equivalent toA-stability
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• Runge–Kutta Methods for Dissipative and Gradient Dynamical Systems
• Dissipativity of Runge-Kutta methods for dynamical systems with delays

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