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Territorial Persistence of Residual <i>Plasmodium falciparum</i> Transmission in the Americas: A One Health Perspective. [PDF]

Trop Med Infect Dis
Olivera MJ.
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A generalization of the variation diminishing property

Advances in Computational Mathematics, 1995
Several generalizations of the ordinary variation diminishing property are derived in the sense that, given an \(m \times n\) totally positive matrix \(T\) and an \(n \times r\) matrix \(A\) satisfying some additional conditions, then the number of changes of sign in the consecutive \(r \times r\) minors of \(TA\) is bounded by the number of changes of
Juan Manuel Pena, Jesus Miguel Carnicer, T N T Goodman   +2 more
exaly   +4 more sources

Is there a geometric variation diminishing property for B-spline or Bézier surfaces?

Computer Aided Geometric Design, 1992
The authors present a list of interesting examples which show that there is probably no simple geometric characterization of the variation diminishing property of B-spline or Bézier-surfaces -- in direct contrast to the case of the corresponding curves.
Hartmut Prautzsch
exaly   +3 more sources

Stepsize Restrictions for the Total-Variation-Diminishing Property in General Runge--Kutta Methods

SIAM Journal on Numerical Analysis, 2004
The numerical solution of the Cauchy problem for a partial differential equation of the type \[ {\partial \over \partial t} u(x,t) + {\partial \over \partial x} f(u(x,t)) =0, \quad t \geq 0\;\;-\infty < x < \infty \] is investigated. Using the method of lines the numerical problem leads to solving a system of ordinary differential equations of the form
L. Ferracina, M. N. Spijker
exaly   +2 more sources

Convexity and variation diminishing property of multidimensional Bernstein polynomials

Analysis in Theory and Applications, 1989
A necessary and sufficient condition for the convexity of the Bezier surface over the k-dimensional simplex is presented. We also consider a multidimensional version of the variation diminishing property of the Bernstein polynomials.
exaly   +2 more sources

Convexity and Variation Diminishing Property of Bernstein Polynomials over Triangles

1985
Let Bn(f;P) denote the Bernstein polynomials over triangle T and \({\hat f_n}\) denote the Bezier net associated with Bn(f;P). A certain type of variations of \({\hat f_n}\) is introduced by GOODMAN quite recently. In the present paper the corresponding variation of Bn(f;P) is defined by integration of the absolute value of the Laplacian of BP(f;P ...
Josef Hoschek, Geng-Zhe Chang
exaly   +2 more sources

The variation diminishing property applied to diffusions

1989
exaly   +2 more sources

On the Variation-Diminishing Property

Results in Mathematics, 1998
This paper considers a new approach in proving the so-called strong variation-diminishing property for positive linear operators. Further it presents applications for the Durrmeyer operators with Jacobi weights \(t^\alpha (1-t)^\beta\), \(\alpha, \beta>-1\) and also for the family of operators \(P_n\) introduced by the reviewer (\textit{D. H.
Gavrea, Ioan, Gonska, Heinz H., Kacso, Daniela   +2 more
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Ordinal Aggregation Results via Karlin's Variation Diminishing Property

SSRN Electronic Journal, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michael Choi 0003, Lones Smith
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Further variation diminishing properties of Bernstein polynomials on triangles

Constructive Approximation, 1987
The author gives a new definition of the `variation' of a surface which generalizes those considered previously. See \textit{G. Chang} and \textit{J. Hoschek}, Multivariate Approximation Theory III, Proc. Conf. Oberwolfach/Ger. 1985, ISNM 75, 61-70 (1985; Zbl 0563.41008). It is shown that the variation of a Bernstein polynomial on a triangle is bounded
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