Article: Reports from University of Rijeka add new data to research in computational mathematics.(Report)

"In this paper, we consider a well-balanced semi-implicit one parameter family of schemes. The presented schemes are a generalization of the well-balanced upwind explicit finite volume schemes," scientists in Rijeka, Croatia report.

"The schemes are applied to the Saint Venant open channel flow equations. The main feature of the presented schemes is their balancing property, achieved even for the channels with the general cross section geometry. In the paper, we present the scheme algorithm and the proof of the exact conservation property when the proposed schemes are applied to the open channel flow equations. Furthermore, the schemes' accuracy and stability are ...

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