Aadu Musta tööde valikbibliograafia

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Development and Application of Generalized Musta Schemes

This paper is devoted to the construction of numerical fluxes for hyperbolic systems. We first present a GFORCE numerical flux, which is a weighted average of the Lax-Friedrichs and Lax-Wendroff fluxes. For the linear advection equation with constant coefficient, the new flux reduces identically to that of the Godunov first order upwind method. Then we incorporate GFORCE in the framework of the...

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MUSTA schemes for multi-dimensional hyperbolic systems: analysis and improvements

We develop and analyze an improved version of the Multi-Stage (MUSTA) approach to the construction of upwind Godunov-type fluxes whereby the solution of the Riemann problem, approximate or exact, is not required. The new MUSTA schemes improve upon the original schemes in terms of monotonicity properties, accuracy and stability in multiple space dimensions. We incorporate the MUSTA technology in...

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A MUSTA Scheme for a Nonconservative Two-Fluid Model

Abstract. We present a multi-stage centred scheme, of the kind proposed by Toro [Appl. Numer. Math. 56 (2006) 1464], for numerically resolving the simultaneous flow of two fluids through a transport pipeline. This model contains non-conservative terms in both the temporal and spatial derivatives, and an extension of the standard numerical framework for conservation laws is needed. In this paper...

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Abhava pratinidhi dravya: A comparative phytochemistry of Ativisha, Musta and related species

Authentic Ativisha (Aconitum heterophyllum) is a rare, endangered Himalayan species. Ayurveda classical texts of c. 15(th)-16(th) century, introduced "abhava-pratinidhi dravya" concept, wherein Ativisha was categorized as an abhava dravya (unavailable drug) and Musta (Cyperus rotundus) was suggested as a pratinidhi dravya (substitute) for it. C. rotundus is a weed, abundantly available pan-Indi...

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Finite-volume Weno Schemes for Three-dimensional Conservation Laws

The purpose of this paper is twofold. Firstly we carry out an extension of the finite-volume WENO approach to three space dimensions and higher orders of spatial accuracy (up to eleventh order). Secondly, we propose to use three new fluxes as a building block in WENO schemes. These are the one-stage HLLC [29] and FORCE [24] fluxes and a recent multistage MUSTA flux [26]. The numerical results i...

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ژورنال

عنوان ژورنال: Ajalooline Ajakiri. The Estonian Historical Journal

سال: 2016

ISSN: 2228-3897,1406-3859

DOI: 10.12697/aa.2016.2.02