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WAVEFORM RELAXATION METHODS OF NONLINEAR INTEGRAL-DIFFERENTIAL-ALGEBRAIC EQUATIONS
Authors:Yao-lin Jiang
Abstract:In this paper we consider continuous-time and discrete-time waveform relaxation meth-ods for general nonlinear integral-differential-algebraic equations.For the continuous-timecase we derive the convergence condition of the iterative methods by invoking the spec-tral theory on the resulting iterative operators.By use of the implicit difference forms,namely the backward-differentiation formulae,we also yield the convergence condition ofthe discrete waveforms.Numerical experiments are provided to illustrate the theoreticalwork reported here.
Keywords:Nonlinear integral-differential-algebraic equations  Waveform relaxation  Parallel solutions  Convergence of iterative methods  Engineering applications  
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