Stability analysis of exponential Runge-Kutta methods for delay differential equations

DOI10.1016/j.aml.2011.01.029zbMath1214.65042OpenAlexW1998302477MaRDI QIDQ533451

Zhenan Sui, Yang Xu, Jingjun Zhao

Publication date: 3 May 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.01.029

zbMATH Keywords

numerical examplesdelay differential equationsP-stabilityexponential Runge-Kutta methodsGP-stability

Mathematics Subject Classification ID

Related Items (4)

Stability analysis of explicit exponential integrators for delay differential equations ⋮ Explicit exponential Runge-Kutta methods for semilinear parabolic delay differential equations ⋮ Integration processes of delay differential equation based on modified Laguerre functions ⋮ D-convergence and conditional GDN-stability of exponential Runge-Kutta methods for semilinear delay differential equations

Cites Work

• Strong contractivity properties of numerical methods for ordinary and delay differential equations
• A new interpolation procedure for adapting Runge-Kutta methods to delay differential equations
• The asymptotic stability of one-parameter methods for neutral differential equations
• Exponential Runge-Kutta methods for parabolic problems.
• Unconditional stability of explicit exponential Runge-Kutta methods for semi-linear ordinary differential equations

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