Delay-dependent stability of symmetric schemes in boundary value methods for DDEs

DOI10.1016/j.amc.2009.08.043zbMath1208.65097OpenAlexW2010700128MaRDI QIDQ1044410

Shifeng Wu, Si-qing Gan, Wen-Hao Li

Publication date: 18 December 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.08.043

zbMATH Keywords

stabilitystability regionboundary value methodsdelay differential equations (DDEs)extended trapezoidal rulesymmetric schemestop order methods

Mathematics Subject Classification ID

Related Items (7)

A kind of generalized backward differentiation formulae for solving fractional differential equations ⋮ Delay-dependent stability analysis of symmetric boundary value methods for linear delay integro-differential equations ⋮ Stability of Symmetric Runge--Kutta Methods for Neutral Delay Integro-Differential Equations ⋮ Generalized Adams method for solving fractional delay differential equations ⋮ An analysis of delay-dependent stability of symmetric boundary value methods for the linear neutral delay integro-differential equations with four parameters ⋮ Fully discretized methods based on boundary value methods for solving diffusion equations ⋮ Delay-dependent stability of symmetric boundary value methods for second order delay differential equations with three parameters

Cites Work

• Delay-dependent stability analysis of trapezium rule for second order delay differential equations with three parameters
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• Delay-dependent stability of high order Runge-Kutta methods
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• Boundary value methods for the solution of differential-algebraic equations
• Block boundary value methods for linear Hamiltonian systems
• On the asymptotic stability properties of Runge-Kutta methods for delay differential equations
• Order stars and stability for delay differential equations
• Delay equations. Functional-, complex-, and nonlinear analysis
• Delay dependent stability regions of  -methods for delay differential equations
• Asymptotic Stability Barriers for Natural Runge--Kutta Processes for Delay Equations
• An Analysis of Delay-Dependent Stability for Ordinary and Partial Differential Equations with Fixed and Distributed Delays
• Multigrid Methods for Implicit Runge--Kutta and Boundary Value Method Discretizations of Parabolic PDEs
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