D-convergence and conditional GDN-stability of exponential Runge-Kutta methods for semilinear delay differential equations

DOI10.1016/j.amc.2018.07.001zbMath1429.65138OpenAlexW2887126213WikidataQ115598169 ScholiaQ115598169MaRDI QIDQ2007499

Yang Xu, Rui Zhan, Jingjun Zhao

Publication date: 22 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2018.07.001

zbMATH Keywords

D-convergencesemilinear delay differential equationsconditional GDN-stabilityexponential Runge-Kutta methods with Lagrangian interpolation

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 functional-differential equations (65L03)

Related Items (3)

Convergence and Mean-Square Stability of Exponential Euler Method for Semi-Linear Stochastic Delay Integro-Differential Equations ⋮ High order explicit exponential Runge-Kutta methods for semilinear delay differential equations ⋮ Explicit exponential Runge-Kutta methods for semilinear parabolic delay differential equations

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