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Spline collocation method for linear singular hyperbolic systems
Authors:S. V. Gaidomak
Affiliation:(1) Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Lermontova pr. 134, Irkutsk, 664033, Russia
Abstract:Some classes of singular systems of partial differential equations with variable matrix coefficients and internal hyperbolic structure are considered. The spline collocation method is used to numerically solve such systems. Sufficient conditions for the convergence of the numerical procedure are obtained. Numerical results are presented.
Keywords:hyperbolic equations  singular systems  spline collocation method
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