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Shape-Preserving Properties of a Relaxed Four-Point Interpolating Subdivision Scheme

open access: yesMathematics, 2020
In this paper, we analyze shape-preserving behavior of a relaxed four-point binary interpolating subdivision scheme. These shape-preserving properties include positivity-preserving, monotonicity-preserving and convexity-preserving.
Pakeeza Ashraf   +5 more
doaj   +1 more source

Positivity-preserving methods for ordinary differential equations [PDF]

open access: yes, 2022
Many important applications are modelled by differential equations with positive solutions. However, it remains an outstanding open problem to develop numerical methods that are both (i) of a high order of accuracy and (ii) capable of preserving ...
Iserles, A   +8 more
core   +1 more source

Shape-Preservation of the Four-Point Ternary Interpolating Non-stationary Subdivision Scheme

open access: yesFrontiers in Physics, 2020
In this paper, we present the shape-preserving properties of the four-point ternary non-stationary interpolating subdivision scheme (the four-point scheme). This scheme involves a tension parameter.
Pakeeza Ashraf   +4 more
doaj   +1 more source

Bounded real lemmas for positive descriptor systems [PDF]

open access: yes, 2015
A well known result in the theory of linear positive systems is the existence of positive definite diagonal matrix (PDDM) solutions to some well known linear matrix inequalities (LMIs).
Yan, Xinggang   +3 more
core   +1 more source

Salient Object Ranking with Position-Preserved Attention [PDF]

open access: yes2021 IEEE/CVF International Conference on Computer Vision (ICCV), 2021
Instance segmentation can detect where the objects are in an image, but hard to understand the relationship between them. We pay attention to a typical relationship, relative saliency. A closely related task, salient object detection, predicts a binary map highlighting a visually salient region while hard to distinguish multiple objects.
Hao Fang   +7 more
openaire   +4 more sources

On the Entropy Projection and the Robustness of High Order Entropy Stable Discontinuous Galerkin Schemes for Under-Resolved Flows

open access: yesFrontiers in Physics, 2022
High order entropy stable schemes provide improved robustness for computational simulations of fluid flows. However, additional stabilization and positivity preserving limiting can still be required for variable-density flows with under-resolved features.
Jesse Chan   +5 more
doaj   +1 more source

Positivity preserving transformations for 𝑞-binomial coefficients [PDF]

open access: yesTransactions of the American Mathematical Society, 2004
Several new transformations for q q -binomial coefficients are found, which have the special feature that the kernel is a ...
Berkovich, A., Warnaar, S. O.
openaire   +6 more sources

Necessary conditions for reaction-diffusion system with delay preserving positivity

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
We consider the reaction--diffusion system with delay \begin{equation*} \left\{\begin{aligned} &\frac{\partial u}{\partial t}=A(t,x)\Delta u-\sum_{i=1}^{k}\gamma_{i}(t,x)\partial_{x_{i}}u +f(t,u_{t}) , &x\in \Omega; \\ &B(u)|_{\partial \Omega}=0.\\ \
Lirui Feng   +3 more
doaj   +1 more source

Matrix positivity preservers in fixed dimension. I [PDF]

open access: yesAdvances in Mathematics, 2016
A classical theorem of I.J. Schoenberg characterizes functions that preserve positivity when applied entrywise to positive semidefinite matrices of arbitrary size. Obtaining similar characterizations in fixed dimension is intricate. In this note, we provide a solution to this problem in the polynomial case.
Alexander Belton   +3 more
openaire   +6 more sources

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