Results 21 to 30 of about 547,947 (201)

Positivity preserving finite element approximation [PDF]

Mathematics of Computation, 2001
We consider finite element operators defined on “rough” functions in a bounded polyhedron Ω \Omega
Ricardo H. Nochetto, Lars B. Wahlbin
openaire   +2 more sources

Bounded real lemmas for positive descriptor systems [PDF]

, 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, Zhang, Youmei, Tanaka, Tamaki, Zhang, Qingling   +3 more
core   +1 more source

Mass-Preserving Approximation of a Chemotaxis Multi-Domain Transmission Model for Microfluidic Chips

Mathematics, 2021
The present work is inspired by the recent developments in laboratory experiments made on chips, where the culturing of multiple cell species was possible.
Elishan Christian Braun, Gabriella Bretti, Roberto Natalini   +2 more
doaj   +1 more source

Monotonicity-preserving splitting schemes for solving balance laws [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2021
In this paper, some monotonicity-preserving (MP) and positivity-preserving (PP) splitting methods for solving the balance laws of the reaction and diffusion source terms are investigated.
F. Khodadosti, J. Farzi, M.M. Khalsaraei
doaj   +1 more source

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

Mathematics, 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, Abdul Ghaffar, Dumitru Baleanu, Irem Sehar, Kottakkaran Sooppy Nisar, Faheem Khan   +5 more
doaj   +1 more source

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

Frontiers 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, Mehak Sabir, Abdul Ghaffar, Kottakkaran Sooppy Nisar, Ilyas Khan   +4 more
doaj   +1 more source

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

Frontiers 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, Hendrik Ranocha, Andrés M. Rueda-Ramírez, Gregor Gassner, Gregor Gassner, Tim Warburton   +5 more
doaj   +1 more source

Representation and Approximation of Positivity Preservers [PDF]

Journal of Geometric Analysis, 2010
17 ...
openaire   +3 more sources

Necessary conditions for reaction-diffusion system with delay preserving positivity

Electronic 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, Xue Zhang, Jianhong Wu, Messoud Efendiev   +3 more
doaj   +1 more source

Positivity of flux vector splitting schemes [PDF]

, 1999
Over the last ten years, robustness of schemes has raised an increasing interest among the CFD community. One mathematical aspect of scheme robustness is the positivity preserving property.
Moschetta, Jean-Marc, Villedieu, Philippe, Gressier, Jérémie   +2 more
core   +1 more source