A review of theoretical and numerical analysis for nonlinear stiff Volterra functional differential equations

DOI10.1007/s11464-009-0003-yzbMath1396.65120OpenAlexW1535168513MaRDI QIDQ1022525

Shou-fu Li

Publication date: 22 June 2009

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-009-0003-y

zbMATH Keywords

stabilityasymptotic stabilityRunge-Kutta methodfunctional differential equationcontractivitynonlinear stiff problem

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (9)

Classical theory of Runge-Kutta methods for Volterra functional differential equations ⋮ Stage-based interpolation Runge-Kutta methods for nonlinear Volterra functional differential equations ⋮ Classical theory of linear multistep methods for Volterra functional differential equations ⋮ Dissipativity of Runge-Kutta methods for Volterra functional differential equations ⋮ Dissipativity and stability analysis for fractional functional differential equations ⋮ Asymptotic behavior of solutions to time fractional neutral functional differential equations ⋮ Dissipativity and contractivity of the second-order averaged \(\mathrm{L}1\) method for fractional Volterra functional differential equations ⋮ Dissipativity and Contractivity Analysis for Fractional Functional Differential Equations and their Numerical Approximations ⋮ Exact and numerical stability analysis of reaction-diffusion equations with distributed delays

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