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Variation diminishing property
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2020
2020
In 1970, Binyamin Schwarz defined and analyzed totally positive differential systems (TPDSs), i.e., linear time-varying systems… Expand
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2017
2017
When is the weighted sum of quasi-concave functions quasi-concave? We answer this, extending an analogous preservation of the… Expand
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2013
2013
In this paper, we investigate the total variation diminishing property for a class of 2-stage explicit Runge-Kutta methods of… Expand
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2010
2010
For a given polynomial F(t)[email protected]?"i"="0^np"iB"i^n(t), expressed in the Bernstein basis over an interval [a,b], we… Expand
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2005
2005
Summary.We prove a BV estimate for scalar conservation laws that generalizes the classical Total Variation Diminishing property… Expand
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Highly Cited
2004
Highly Cited
2004
Much attention has been paid in the literature to total-variation-diminishing (TVD) numerical processes in the solution of… Expand
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1999
1999
In the center of our paper are two counterexamples showing the independence of the concepts of global smoothness preservation and… Expand
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1995
1995
For totally positive matrices, a new variation diminishing property on the sign of consecutive minors is obtained. this property… Expand
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1992
1992
Abstract We present examples which show that simple geometric concepts of a variation diminishing property do not work for tensor… Expand
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1989
1989
A necessary and sufficient condition for the convexity of the Bézier surface over the k-dimensional simplex is presented. We also… Expand
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