Optimal convergence orders of fully geometric mesh one-leg methods for neutral differential equations with vanishing variable delay
DOI10.1007/s10444-019-09688-8zbMath1415.65149OpenAlexW2936280122WikidataQ115384767 ScholiaQ115384767MaRDI QIDQ2000538
Publication date: 28 June 2019
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-019-09688-8
error estimatesneutral functional differential equationsvanishing delayconvergence ordersfully geometric mesh one-leg methods
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)
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Cites Work
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- Asymptotic stability of solution to nonlinear neutral and Volterra functional differential equations in Banach spaces
- Continuous Galerkin methods on quasi-geometric meshes for delay differential equations of pantograph type
- Contractivity and exponential stability of solutions to nonlinear neutral functional differential equations in Banach spaces
- Convergence of linear multistep and one-leg methods for stiff nonlinear initial value problems
- Numerical solution of neutral functional differential equations by Adams methods in divided difference form
- Stability of a class of Runge--Kutta methods for a family of pantograph equations of neutral type
- Preserving stability implicit Euler method for nonlinear Volterra and neutral functional differential equations in Banach space
- On the one-leg \(\theta \)-methods for solving nonlinear neutral functional differential equations
- Asymptotic stability properties of \(\theta\)-methods for the pantograph equation
- High order stable Runge-Kutta methods for nonlinear generalized pantograph equations on the geometric mesh
- On the one-leg methods for solving nonlinear neutral differential equations with variable delay
- Numerical modelling in biosciences using delay differential equations
- On the \(\theta\)-method for delay differential equations with infinite lag
- Fully-geometric mesh one-leg methods for the generalized pantograph equation: approximating Lyapunov functional and asymptotic contractivity
- Nonlinear stability of one-leg methods for delay differential equations of neutral type
- Superconvergence in collocation methods on quasi-graded meshes for functional differential equations with vanishing delays
- \(H_{\alpha}\)-stability of modified Runge-Kutta methods for nonlinear neutral pantograph equations
- Geometric meshes in collocation methods for Volterra integral equations with proportional delays
- Stability of Two-Step Methods for Variable Integration Steps
- Quasilinear Multistep Methods and Variable Step Predictor–Corrector Methods for Neutral Functional-Differential Equations
- Geometric meshes and their application to Volterra integro-differential equations with singularities
- Stability of one-leg -methods for the variable coefficient pantograph equation on the quasi-geometric mesh
- Preservation of superconvergence in the numerical integration of delay differential equations with proportional delay
- Numerical Methods for Delay Differential Equations
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- Stability of the Discretized Pantograph Differential Equation
- Stability Analysis of $\Theta$-Methods for Nonlinear Neutral Functional Differential Equations
- Fast Numerical Solution of Parabolic Integrodifferential Equations with Applications in Finance
- Discretized Stability and Error Growth of The Nonautonomous Pantograph Equation
- \(hp\)-discontinuous Galerkin time stepping for parabolic problems
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