On the Chebyshev spectral continuous time approximation for constant and periodic delay differential equations
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Publication:716615
DOI10.1016/j.cnsns.2010.05.037zbMath1221.65158OpenAlexW2057575883MaRDI QIDQ716615
Eric A. Butcher, Oleg A. Bobrenkov
Publication date: 30 September 2011
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.05.037
Theoretical approximation of solutions to functional-differential equations (34K07) Numerical methods for functional-differential equations (65L03)
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Cites Work
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- A method of continuous time approximation of delayed dynamical systems
- Control studies of time-delayed dynamical systems with the method of continuous time approximation
- One-step collocation for delay differential equations
- Introduction to functional differential equations
- Delay effects on stability. A robust control approach
- Delay equations. Functional-, complex-, and nonlinear analysis
- Solution operator approximations for characteristic roots of delay differential equations
- Pseudospectral approximation of eigenvalues of derivative operators with nonlocal boundary conditions
- Collocation Methods for the Computation of Periodic Solutions of Delay Differential Equations
- A Fully-Discrete Spectral Method for Delay-Differential Equations
- Computing the characteristic roots for delay differential equations
- Spectral Methods in MATLAB
- Stability chart for the delayed Mathieu equation
- Semi-discretization method for delayed systems
- Error Bounds for Approximate Eigenvalues of Periodic-Coefficient Linear Delay Differential Equations
- Pseudospectral Differencing Methods for Characteristic Roots of Delay Differential Equations
- Stability Charts for Second-Order Dynamical Systems With Time Lag
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