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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 7, Pages 1230–1249
(Mi zvmmf4563)
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This article is cited in 4 scientific papers (total in 4 papers)
Spline collocation method for linear singular hyperbolic systems
S. V. Gaidomak 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.
Key words:
hyperbolic equations, singular systems, spline collocation method.
Received: 20.10.2006 Revised: 30.01.2007
Citation:
S. V. Gaidomak, “Spline collocation method for linear singular hyperbolic systems”, Zh. Vychisl. Mat. Mat. Fiz., 48:7 (2008), 1230–1249; Comput. Math. Math. Phys., 48:7 (2008), 1161–1180
Linking options:
https://www.mathnet.ru/eng/zvmmf4563 https://www.mathnet.ru/eng/zvmmf/v48/i7/p1230
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