Moving Mesh with Streamline Upwind Petrov-Galerkin (MM-SUPG) Method for
Time-dependent Convection-Dominated Convection-Diffusion Problems
May 18, 2021
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Mathematics
Computer Science
Numerical Analysis
Numerical Analysis
Time-dependent convection-diffusion problems is considered, particularly when
the diffusivity is very small and sharp layers exist in the solutions.
Nonphysical oscillations may occur in the numerical solutions when using
regular mesh with ...
A discrete framework for the interpolation of Banach spaces
May 18, 2021
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Mathematics
Functional Analysis
We develop a discrete framework for the interpolation of Banach spaces, which
contains the well-known real and complex interpolation methods, but also more
recent methods like the Rademacher, γ- and ℓq-interpolation
methods. Ou...
A sparse ADMM-based solver for linear MPC subject to terminal quadratic
constraint
May 18, 2021
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Mathematics
Computer Science
Electrical Engineering and Systems Science
Optimization and Control
Systems and Control
Systems and Control
Model Predictive Control (MPC) typically includes a terminal constraint to
guarantee stability of the closed-loop system under nominal conditions. In
linear MPC this constraint is generally taken on a polyhedral set, leading to a
quadratic ...
FairCMS: Cloud Media Sharing with Fair Copyright Protection
May 18, 2021
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Computer Science
Cryptography and Security
Multimedia
The onerous media sharing task prompts resource-constrained media owners to
seek help from a cloud platform, i.e., storing media contents in the cloud and
letting the cloud do the sharing. There are three key security/privacy problems
that ...
A plat form presentation for surface-links
May 18, 2021
Mathematics
Geometric Topology
In this paper, we introduce a method, called a plat form, of describing a
surface-link in the 4-space using a braided surface. We prove that every
surface-link, which is not necessarily orientable, can be described in a plat
form. The plat ...
Nonlinear damping effects for the 2D Mindlin-Timoshenko system
May 18, 2021
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Mathematics
Analysis of PDEs
We study in this article the asymptotic behavior of the Mindlin-Timoshenko
system subject to a nonlinear dissipation acting only on the equations of the
rotation angles. First, we briefly recall the existence of the solution of this
system....
Efficient approximations for utility-based pricing
May 18, 2021
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Quantitative Finance
Pricing of Securities
Computational Finance
In a context of illiquidity, the reservation price is a well-accepted
alternative to the usual martingale approach which does not apply. However,
this price is not available in closed form and requires numerical methods such
as Monte Carlo ...
Conflict-Free Coloring: Graphs of Bounded Clique Width and Intersection
Graphs
May 18, 2021
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Computer Science
Mathematics
Discrete Mathematics
Combinatorics
A conflict-free coloring of a graph G is a (partial) coloring of its
vertices such that every vertex u has a neighbor whose assigned color is
unique in the neighborhood of u. There are two variants of this coloring, one
defined using ...
Nonlocal Gagliardo-Nirenberg-Sobolev type inequality
May 17, 2021
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Mathematics
Analysis of PDEs
Analysis of PDEs
We establish Gagliardo-Nirenberg-Sobolev type inequalities on nonlocal
Sobolev spaces driven by p-L\'{e}vy integrable kernels, by imposing some
appropriate growth conditions on the associated critical function. This
naturally allows to de...
Cross-Cluster Weighted Forests
May 17, 2021
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Statistics
Computer Science
Machine Learning
Machine Learning
Adapting machine learning algorithms to better handle the presence of
clusters or batch effects within training datasets is important across a wide
variety of biological applications. This article considers the effect of
ensembling Random F...