Stability of numerical methods for delay differential equations
Journal of Computational and Applied Mathematics
Selected papers from the international conference on Numerical solution of Volterra and delay equations
Runge-Kutta methods for dissipative and gradient dynamical systems
SIAM Journal on Numerical Analysis
Global Dissipativity for A-Stable Methods
SIAM Journal on Numerical Analysis
Selected papers of the second international conference on Numerical solution of Volterra and delay equations : Volterra centennial: Volterra centennial
Dissipativity of one-leg methods for dynamical systems with delays
Applied Numerical Mathematics
Numerical modelling in biosciences using delay differential equations
Journal of Computational and Applied Mathematics - Special issue on numerical anaylsis 2000 Vol. VI: Ordinary differential equations and integral equations
Stability of Runge-Kutta methods for delay integro-differential equations
Journal of Computational and Applied Mathematics
Stability of θ-methods for delay integro-differential equations
Journal of Computational and Applied Mathematics
SIAM Journal on Scientific Computing
Journal of Computational and Applied Mathematics - Special Issue: Proceedings of the 10th international congress on computational and applied mathematics (ICCAM-2002)
Dissipativity of θ-methods for nonlinear delay differential equations of neutral type
Applied Numerical Mathematics
Non-Fickian delay reaction--diffusion equations: Theoretical and numerical study
Applied Numerical Mathematics
Dissipativity of one-leg methods for neutral delay integro-differential equations
Journal of Computational and Applied Mathematics
Dissipativity of Runge-Kutta methods for Volterra functional differential equations
Applied Numerical Mathematics
Legendre Spectral Collocation Methods for Pantograph Volterra Delay-Integro-Differential Equations
Journal of Scientific Computing
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This paper deals with the analytic and numerical dissipativity of nonlinear Volterra delay-integro-differential equations (VDIDEs). A dissipativity criteria for VDIDEs is given. We investigate the dissipativity properties of one-leg @q-methods and linear @q-methods for the underlying systems. It is shown that, for @q@?[12,1], any one-leg @q-method and linear @q-method can inherit the dissipativity of the underlying systems.