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Article information
1997 , Volume 2, ¹ 5, p.57-65
Ostapenko V.V.
On a weak convergense on generalized solutions of the TVD Harten scheme of second order approximation on smooth solutions
The notion of a weak convergence of the difference solution to the exact generalized solution of the approximated quasilinear hyperbolic systems of conservation laws is introdused. It is shown that the TVD Harten scheme (wich has the second order approximation on smooth solutions) has only the first order of weak convergence in calculating the problem of the breaking of a dam with formations of discontinuity and depression waves. The obtained first order of weak convergence results in the similar decrease in the order of pointwise strong convergence on smooth
parts of the exact solution behind the discontinuous wave front.
[full text] Author(s):
Ostapenko Vladimir Viktorovich
Dr. , Professor
Position: General Scientist
Office: Lavrentyev Institute of Hydrodynamics of the Siberian Branch of the RAS
Address: 630090, Russia, Novosibirsk, Ac. Lavrentyev Ave., 15
Phone Office: (383)333-22-01
E-mail: Ostapenko_VV@ngs.ru
SPIN-code: 1676-5882
Bibliography link:
Ostapenko V.V. On a weak convergense on generalized solutions of the TVD Harten scheme of second order approximation on smooth solutions // Computational technologies. 1997. V. 2. ¹ 5. P. 57-65
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