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A Note On Discrete Waveform Relaxation Of Stiff Index-1 Differential Algebraic Equations & Symposia

2013 10TH IEEE INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION (ICCA)(2013)

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Abstract
The paper studies the discrete waveform relaxation processes based on Runge-Kutta methods for solving stiff differential-algebraic systems of index-1. The new convergence results are obtained, which are relevant in applications to nonlinear stiff differential-algebraic systems of index-1. The existence and uniqueness of the solutions are derived.
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Key words
numerical stability,mathematical model,zinc,relaxation methods,differential equations,differential algebraic equations,runge kutta methods,convergence
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