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

DOI10.1080/00207160.2015.1080359zbMath1355.65085OpenAlexW2472974203MaRDI QIDQ2958269

Gengen Zhang, Ai-Guo Xiao

Publication date: 1 February 2017

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2015.1080359

zbMATH Keywords

stabilityconvergencestiff delay differential equationsimplicit-explicit one-leg methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04) Numerical methods for functional-differential equations (65L03)

Related Items (8)

Superconvergence of discontinuous Galerkin method for neutral delay differential equations ⋮ Classical theory of linear multistep methods for Volterra functional differential equations ⋮ Numerical approximation to semi-linear stiff neutral equations via implicit-explicit general linear methods ⋮ Recovering critical parameter for nonlinear Allen–Cahn equation by fully discrete continuous data assimilation algorithms ^* ⋮ One-leg methods for nonlinear stiff fractional differential equations with Caputo derivatives ⋮ Stability analysis of implicit-explicit \(\theta\)-methods for composite stiff neutral functional differential equations in Banach space ⋮ Implicit-explicit one-leg methods for nonlinear stiff neutral equations ⋮ Implicit–explicit multistep finite-element methods for nonlinear convection-diffusion-reaction equations with time delay

Cites Work

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