Results 1 to 10 of about 377,631 (158)
Positivity-Preserving Consensus of Homogeneous Multiagent Systems
IEEE Transactions on Automatic Control, 2020 This note deals with the positivity-preserving consensus problem for undirected positive multiagent systems. The case that all agents have identical positive state-space models with multiple inputs is investigated. Using positive systems theory and analyzing the properties of the overall closed-loop system, positivity-preserving consensus conditions ...
Jason J R Liu, James Lam, Zhan Shu
exaly +3 more sources
Positivity Preserving Hadamard Matrix Functions [PDF]
Positivity, 2007 The authors prove that for every positive real number \(p\) that lies between even integers \(2(m-2)\) and \(2(m-1)\), there exists a matrix \(A=(a_{ij})\) of order \(2m\) such that \(A\) is positive definite, but the matrix with entries \(| a_{ij}| ^p\) is not.
Bhatia, Rajendra, Elsner, Ludwig
openaire +3 more sources
The $L^{\infty }$-positivity Preserving Property and Stochastic Completeness
Potential Analysis, 2022 We say that a Riemannian manifold satisfies the $L^p$-positivity preserving property if $(-Δ+ 1)u\ge 0$ in a distributional sense implies $u \ge 0$ for all $ u \in L^p$.While geodesic completeness of the manifold at hand ensures the $L^p$-positivity preserving property for all $p \in (1, +\infty)$, when $p = + \infty$ some assumptions are needed.
Bisterzo, A, Marini, L
openaire +4 more sources
Positivity Preserving Limiters for Time-Implicit Higher Order Accurate Discontinuous Galerkin Discretizations [PDF]
SIAM Journal of Scientific Computing, 2019 Currently, nearly all positivity preserving discontinuous Galerkin (DG) discretizations of partial differential equations are coupled with explicit time integration methods.
J J W Van Der Vegt, Yinhua Xia, Yan Xu
exaly +2 more sources
Positivity Preserving Interpolation Using Rational Bicubic Spline [PDF]
Journal of Applied Mathematics, 2015 This paper discusses the positivity preserving interpolation for positive surfaces data by extending theC1rational cubic spline interpolant of Karim and Kong to the bivariate cases. The partially blended rational bicubic spline has 12 parameters in the descriptions where 8 of them are free parameters.
Samsul Ariffin Abdul Karim +2 more
openaire +5 more sources
Symmetric Positivity Preserving Balanced Truncation [PDF]
PAMM, 2012 AbstractWe consider positivity preserving model order reduction of SISO linear systems. Whereas well‐established model reduction methods usually do not result in a positive approximation, we show that a symmetry characterization of balanced truncation can be used to preserve positivity after performing balanced truncation.
Christian Grußler, Tobias Damm
openaire +3 more sources
Positivity preserving transformations for 𝑞-binomial coefficients [PDF]
Transactions 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 +7 more sources
Positivity-Preserving Analysis of Numerical Schemes for Ideal Magnetohydrodynamics [PDF]
SIAM Journal on Numerical Analysis, 2018 Accepted for publication in SIAM Journal on Numerical ...
Kailiang Wu
exaly +3 more sources
Issues with positivity-preserving Patankar-type schemes
Applied Numerical Mathematics, 2022 Patankar-type schemes are linearly implicit time integration methods designed to be unconditionally positivity-preserving. However, there are only little results on their stability or robustness. We suggest two approaches to analyze the performance and robustness of these methods.
Davide Torlo +2 more
openaire +7 more sources
Positivity-preserving adaptive Runge–Kutta methods [PDF]
Communications in Applied Mathematics and Computational Science, 2021 Many important differential equations model quantities whose value must remain positive or stay in some bounded interval. These bounds may not be preserved when the model is solved numerically. We propose to ensure positivity or other bounds by applying Runge-Kutta integration in which the method weights are adapted in order to enforce the bounds.
Stephan Nüßlein +2 more
openaire +4 more sources