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Polynomial Total Positivity and High Relative Accuracy Through Schur Polynomials
In this paper, Schur polynomials are used to provide a bidiagonal decomposition of polynomial collocation matrices. The symmetry of Schur polynomials...
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Total Positivity and Accurate Computations Related to q-Abel Polynomials
The attainment of accurate numerical solutions of ill-conditioned linear algebraic problems involving totally positive matrices has been gathering...
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On the positivity of B-spline Wronskians
A proof that Wronskians of non-zero B-splines are positive is given, using only recursive formulas for B-splines and their derivatives. This could be...
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Essential positivity for Toeplitz operators on the Fock space
In this short note, we discuss essential positivity of Toeplitz operators on the Fock space, as motivated by a recent question of Perälä and Virtanen...
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Total positivity of some polynomial matrices that enumerate labeled trees and forests I: forests of rooted labeled trees
We consider the lower-triangular matrix of generating polynomials that enumerate k -component forests of rooted trees on the vertex set [ n ] according...
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A New Positivity-Preserving Technique for High-Order Schemes to Solve Extreme Problems of Euler Equations on Structured Meshes
In this paper, we propose a new positivity-preserving (new PP) technique for fifth-order finite volume unequal-sized WENO schemes when solving some...
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Curvature strict positivity of direct image bundles associated to pseudoconvex families of domains
We consider the curvature strict positivity of the direct image bundle associated to a pseudoconvex family of bounded domains. The main result is...
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High-Order Positivity-Preserving Entropy Stable Schemes for the 3-D Compressible Navier–Stokes Equations
This paper extends a new family of high-order positivity-preserving, entropy stable spectral collocation schemes developed for the one-dimensional...
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A Regularized Model for Wetting/Dewetting Problems: Positivity and Asymptotic Analysis
We consider a general regularized variational model for simulating wetting/dewetting phenomena arising from solids or fluids. The regularized model...
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Polynomial Optimization, Certificates of Positivity, and Christoffel Function
We briefly recall basics of the Moment-SOS hierarchy in polynomial optimization and the Christoffel-Darboux kernel (and the Christoffel function...
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First-Order Positivity-Preserving Entropy Stable Scheme for the 3-D Compressible Navier–Stokes Equations
In this paper, we extend the positivity-preserving, entropy stable first-order scheme developed for the one-dimensional compressible Navier–Stokes...
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Two Finite Element Approaches for the Porous Medium Equation That Are Positivity Preserving and Energy Stable
In this work, we present the construction of two distinct finite element approaches to solve the porous medium equation (PME). In the first approach,...
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Positivity and Stability of Fractional-Order Linear Time-Delay Systems
This article focuses on the positivity and the asymptotic stability of fractional-order linear time-delay systems (FOLTDSs) which are composed of N ( N ...
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A Second Order Accurate, Positivity Preserving Numerical Method for the Poisson–Nernst–Planck System and Its Convergence Analysis
A second order accurate (in time) numerical scheme is proposed and analyzed for the Poisson–Nernst–Planck equation (PNP) system, reformulated as a...
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A Provable Positivity-Preserving Local Discontinuous Galerkin Method for the Viscous and Resistive MHD Equations
In this paper, we construct a high-order discontinuous Galerkin (DG) method which can preserve the positivity of the density and the pressure for the...
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Positivity-Preserving Lax–Wendroff Discontinuous Galerkin Schemes for Quadrature-Based Moment-Closure Approximations of Kinetic Models
The quadrature-based method of moments (QMOM) offers a promising class of approximation techniques for reducing kinetic equations to fluid equations...
