Numerical stability of nonlinear delay differential equations of neutral type
From MaRDI portal
Publication:1841958
DOI10.1016/S0377-0427(00)00471-4zbMath0980.65077OpenAlexW2169303215MaRDI QIDQ1841958
Nicola Guglielmi, Marino Zennaro, Alfredo Bellen
Publication date: 25 February 2002
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0377-0427(00)00471-4
Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Neutral functional-differential equations (34K40)
Related Items
Asymptotic stability of solution to nonlinear neutral and Volterra functional differential equations in Banach spaces ⋮ Accuracy of the Laplace transform method for linear neutral delay differential equations ⋮ Uniform ultimate boundedness of numerical solutions to nonlinear neutral delay differential equations ⋮ Stability of linear multistep methods for nonlinear neutral delay differential equations in Banach space ⋮ Contractivity properties of a class of linear multistep methods for nonlinear neutral delay differential equations ⋮ Stability analysis of general linear methods for nonlinear neutral delay differential equations ⋮ Solutions of neutral delay differential equations using a generalized Lambert \(W\) function ⋮ Exponential input-to-state stability for neutral stochastic delay differential equations with Lévy noise and Markovian switching ⋮ The asymptotic behaviour of theθ-methods with constant stepsize for the generalized pantograph equation ⋮ Asymptotic stability of exact and discrete solutions for neutral multidelay-integro-differential equations ⋮ Stability analysis of Volterra delay-integro-differential equations and their backward differentiation time discretization. ⋮ Stability analysis of one-leg methods for nonlinear neutral delay integrodifferential equations ⋮ Stepsize restrictions for nonlinear stability properties of neutral delay differential equations ⋮ Nonlinear stability of explicit and diagonally implicit Runge-Kutta methods for neutral delay differential equations in Banach space ⋮ Dissipativity of \(\theta \)-methods for a class of nonlinear neutral delay differential equations ⋮ Dissipativity of θ-methods for a class of nonlinear neutral delay integro-differential equations ⋮ Nonlinear stability of one-leg methods for delay differential equations of neutral type ⋮ Contractivity and exponential stability of solutions to nonlinear neutral functional differential equations in Banach spaces ⋮ Asymptotic stability of Rosenbrock methods for systems of functional differential and functional equations ⋮ Nonlinear stability of Runge-Kutta methods for neutral delay differential equations ⋮ On the one-leg methods for solving nonlinear neutral differential equations with variable delay ⋮ Stability of continuous Runge-Kutta-type methods for nonlinear neutral delay-differential equations ⋮ The continuous Galerkin finite element methods for linear neutral delay differential equations ⋮ Preserving stability implicit Euler method for nonlinear Volterra and neutral functional differential equations in Banach space ⋮ Analytical and numerical stability of nonlinear neutral delay integro-differential equations ⋮ On the one-leg \(\theta \)-methods for solving nonlinear neutral functional differential equations ⋮ Nonlinear stability of general linear methods for neutral delay differential equations ⋮ Legendre wavelet method for fractional delay differential equations ⋮ Extended block boundary value methods for neutral equations with piecewise constant argument ⋮ Dissipativity of \(\theta \)-methods for nonlinear delay differential equations of neutral type ⋮ Asymptotic stability of linear multistep methods for nonlinear neutral delay differential equations ⋮ Stability of one-leg \(\theta \)-methods for nonlinear neutral differential equations with proportional delay ⋮ Numerical stability of one-leg methods for neutral delay differential equations ⋮ A new method based on the Laplace transform and Fourier series for solving linear neutral delay differential equations ⋮ Retarded differential equations ⋮ Implicit-explicit one-leg methods for nonlinear stiff neutral equations ⋮ Stability analysis of Runge-Kutta methods for nonlinear functional differential and functional equations ⋮ DELAY-DEPENDENT STABILITY OF RUNGE-KUTTA METHODS FOR NEUTRAL SYSTEMS WITH DISTRIBUTED DELAYS ⋮ A multi-domain Legendre spectral collocation method for nonlinear neutral equations with piecewise continuous argument
Cites Work
- Unnamed Item
- Delay differential equations: with applications in population dynamics
- A sufficient condition for GPN-stability for delay differential equations
- Stability of numerical methods for delay differential equations
- Strong contractivity properties of numerical methods for ordinary and delay differential equations
- Contractivity of Runge-Kutta methods with respect to forcing terms
- On the contractivity and asymptotic stability of systems of delay differential equations of neutral type
- The asymptotic stability of one-parameter methods for neutral differential equations
- Contractivity of continuous Runge-Kutta methods for delay differential equations
- Asymptotic stability analysis of Runge-Kutta methods for nonlinear systems of delay differential equations
- A stable numerical approach for implicit non-linear neutral delay differential equations
- Issues in the numerical solution of evolutionary delay differential equations
- Stability analysis of numerical methods for systems of neutral delay-differential equations
- On the numerical integration of a symmetric system of difference- differential equations of neutral type
- Stability of linear neutral delay-differential systems
- INEXACT NEWTON METHODS FOR THE STEADY STATE ANALYSIS OF NONLINEAR CIRCUITS
- Small-signal Stability Criterion for Electrical Networks Containing Lossless Transmission Lines
- On error growth functions of Runge-Kutta methods
