Singular perturbations of positivity preserving semigroups via path space techniques
Associated with each standard positivity preserving semigroup is a generalized path space. The Feynman-Kac-Nelson formula on path space combined with hypercontractivity of the semigroup allows the control of highly singular perturbations.
Landau, Lawrence J, Klein, Abel
core +1 more source
Positivity preserving interpolation of positive data by cubic trigonometric spline
For smooth and visualizing pleasant curve, we construct a positivity preserving interpolation by using alternative spline that is, cubic trigonometric spline with two shape parameters.
Husna Zayadi
core
Comparative study of high-order positivity-preserving WENO schemes
In gas dynamics and magnetohydrodynamics flows, physically, the density ρ and the pressure p should both be positive. In a standard conservative numerical scheme, however, the computed internal energy is obtained by subtracting the kinetic energy from ...
Kotov, D. V. +2 more
core
Optimal shapes for positivity preserving
We are looking for an optimal convex domain on which the boundary value problem $$\left\{\begin{array}{cc}(-Δ)^2 u_γ-γΔu_γ= f,& \mbox{ in }Ω\\ u_γ=\partial_νu_γ=0,& \mbox{ on }\partialΩ\end{array}\right.$$ admits a nonnegative solution for the most $γ$, if $f$ is a given nonnegative function.
openaire +2 more sources
An unconditionally stable, positivity-preserving splitting scheme for nonlinear Black-Scholes equation with transaction costs. [PDF]
Guo J, Wang W.
europepmc +1 more source
Positivity preserving interpolation by using rational cubic ball spline
This paper discusses the positivity preserving by using rational cubic Ball interpolant of the form cubic/quadratic with two parameters. The sufficient condition for the positivity is derived on one parameter meanwhile the other one is a free parameter ...
Farah Nadhirah
core
Positivity-Preserving Hybridizable Discontinuous Galerkin Scheme for Solving PNP Model. [PDF]
Morales D, Xu Z.
europepmc +1 more source
Stability analysis and numerical simulation of nonlocal extended epidemic models using positivity-preserving scheme. [PDF]
Yousuf M, Alshakhoury N.
europepmc +1 more source
Positivity and Green\u27s operators
It is well known that positive Green\u27s operators are not necessarily positivity preserving. In this paper we investigate the matter of just how far from being positivity preserving a positive Green\u27s operator can be.
Raske, David
core
Comparative Study on High-Order Positivity-preserving WENO Schemes
In gas dynamics and magnetohydrodynamics flows, physically, the density and the pressure p should both be positive. In a standard conservative numerical scheme, however, the computed internal energy is obtained by subtracting the kinetic energy from the ...
Kotov, D. V., Yee, H. C., Sjogreen, B.
core

