Solution property preserving reconstruction for finite volume scheme: a boundary variation diminishing+multidimensional optimal order detection framework [PDF]
SummaryThe purpose of this work is to build a general framework to reconstruct the underlying fields within a finite volume (FV) scheme solving a hyperbolic system of PDEs (Partial Differential Equations). In an FV context, the data are piecewise constants per computational cell and the physical fields are reconstructed taking into account neighbor ...
Tann, Siengdy +4 more
openaire +4 more sources
Convexity and variation diminishing property for Bernstein polynomials in higher dimensions [PDF]
Beśka, Marek
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On the TVD property of second order methods for 2D scalar conservation laws [PDF]
The total variation diminishing (TVD) property is an important tool for ensuring nonlinear stability and convergence of numerical solutions of one-dimensional scalar conservation laws.
Krivodonova, Lilia, Smirnov, Alexey
core +1 more source
Variation diminishing property with b = 1 p = 3 k = 1. [PDF]
Variation diminishing property with b = 1 p = 3 k = 1.
Abdul Majeed (725054) +2 more
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Constructing higher order discontinuity-capturing schemes with upwind-biased interpolations and boundary variation diminishing algorithm [PDF]
International audienceBased on the fifth-order scheme in our previous work (Deng et. al (2019) [28]), a new framework of constructing very high order discontinuity-capturing schemes is proposed for finite volume method.
Xiao, Feng +3 more
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Sign non‐reversal property for totally non‐negative and totally positive matrices, and testing total positivity of their interval hull [PDF]
A matrix is totally positive (or non-negative) of order , denoted (or ), if all minors of size are positive (or non-negative). It is well known that such matrices are characterized by the variation diminishing property together with the sign non ...
Khare, Apoorva +2 more
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Total variation diminishing nonstandard finite difference schemes for conservation laws [PDF]
Nonstandard finite difference schemes for conservation laws preserving the property of diminishing total variation of the solution are proposed. Computationally simple implicit schemes are derived by using nonlocal approximation of nonlinear terms ...
Anguelov, Roumen +2 more
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Influence of variable particle size reinforcement on mechanical and wear properties of alumina reinforced 2014Al alloy particulate composite [PDF]
Al2O3 may be the most important reinforcement in aluminum-based composites that are rising quickly in modern years. The significance of this paper is to study the influence of Al2O3p size variation (i.e. 53 µm and 88 µm) and content (i.e. 9, 12, and 15Wt
Bharath V. +3 more
doaj
Sign changes in linear combinations of derivatives and convolutions of Polya frequency functions
We obtain upper bounds on the number of sign changes of linear combinations of derivatives and convolutions of Polya frequency functions using the variation diminishing properties of totally positive functions.
Steven Nahmias, Frank Proschan
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Phase relation and microstructure evolution in the pressure-less sintered TiB2‒TiC ceramics preceded with mechanical alloying were systematically studied by a combination of SEM analysis. WC debris from milling balls promotes sintering by dissolving into
Tian-Yi Hu +4 more
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