Dissipativity of multistep Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations

DOI10.1007/s10255-012-0142-xzbMath1358.65082OpenAlexW2065609404MaRDI QIDQ511158

Yu-Jie Zhang, Rui Qi, Cheng-Jian Zhang

Publication date: 14 February 2017

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-012-0142-x

zbMATH Keywords

multistep Runge-Kutta methods\((k, l)\)-algebraically stablenonlinear Volterra delay-integro-differential equationsnumerical dissipativity

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Volterra integral equations (45D05)

Related Items (6)

Stability and boundedness of stochastic Volterra integrodifferential equations with infinite delay ⋮ Dissipativity of variable-stepsize Runge-Kutta methods for nonlinear functional differential equations with application to Nicholson's blowflies models ⋮ Dissipativity of extended Pouzet–Runge–Kutta methods for neutral delay integro-differential equations ⋮ Dissipativity of Runge-Kutta methods for a class of nonlinear functional-integro-differential equations ⋮ Dissipativity of one-leg methods for a class of nonlinear functional-integro-differential equations ⋮ Numerical dissipativity of neutral integro-differential equations with delay

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