Asymptotic stability of block boundary value methods for delay differential-algebraic equations

DOI10.1016/j.matcom.2010.07.012zbMath1213.65110OpenAlexW1964009084MaRDI QIDQ609083

Hao Chen, Cheng-Jian Zhang

Publication date: 30 November 2010

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2010.07.012

zbMATH Keywords

numerical examplesasymptotic stabilitymultiple delaysblock boundary value methodsdelay differential-algebraic equations

Mathematics Subject Classification ID

Related Items (25)

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Uses Software

• RODAS

Cites Work

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• Stability criteria for differential-algebraic equations with multiple delays and their numerical solutions
• Computation of consistent initial values for properly stated index 3 DAEs
• Inertia characteristics of self-adjoint matrix polynomials
• Strong contractivity properties of numerical methods for ordinary and delay differential equations
• Stability of some boundary value methods for the solution of initial value problems
• Boundary value methods for the solution of differential-algebraic equations
• Asymptotic stability of linear delay differential-algebraic equations and numerical methods
• Numerical solution of differential algebraic equations and computation of consistent initial/boundary conditions
• On the relations between B\(_2\)VMs and Runge-Kutta collocation methods
• Stability of the Rosenbrock methods for the neutral delay differential-algebraic equations
• Block-Boundary Value Methods for the Solution of Ordinary Differential Equations
• The Numerical Solution of Delay-Differential-Algebraic Equations of Retarded and Neutral Type

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