Results 1 to 10 of about 307,291 (126)

The nonconforming virtual element method for eigenvalue problems

, 2018
We analyse the nonconforming Virtual Element Method (VEM) for the approximation of elliptic eigenvalue problems. The nonconforming VEM allow to treat in the same formulation the two- and three-dimensional case.We present two possible formulations of the ...
Gardini, Francesca, Manzini, Gianmarco, Vacca, Giuseppe   +2 more
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A High-Order Proper Orthogonal Decomposition Dimensionality Reduction Compact Finite-Difference Method for Diffusion Problems

Mathematical and Computational Applications
An innovative high-order dimensionality reduction approach, which integrates a condensed finite-difference scheme with proper orthogonal decomposition techniques, has been explored for solving diffusion equations.
Wenqian Zhang, Hong Li
doaj   +1 more source

Sparse Approximation of Singularity Functions [PDF]

, 2018
We are concerned with the sparse approximation of functions on the d-dimensional unit cube [0,1]d, which contain powers of distance functions to lower-dimensional k-faces (corners, edges, etc.).
Nitsche, Pál-Andrej
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Gonchar-Stahl's $\rho^2$-theorem and associated directions in the theory of rational approximation of analytic functions

, 2015
Gonchar-Stahl's $\rho^2$-theorem characterizes the rate of convergence of best uniform (Chebyshev) rational approximations (with free poles) for one basic class of analytic functions.
Rakhmanov, E. A.
core   +1 more source

On the rate of convergence to equilibrium for countable ergodic Markov chains

, 2003
Using elementary methods, we prove that for a countable Markov chain $P$ of ergodic degree $d > 0$ the rate of convergence towards the stationary distribution is subgeometric of order $n^{-d}$, provided the initial distribution satisfies certain ...
Isola, Stefano
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Spectrum optimization in multi-user multi-carrier systems with iterative convex and nonconvex approximation methods [PDF]

, 2013
Several practical multi-user multi-carrier communication systems are characterized by a multi-carrier interference channel system model where the interference is treated as noise.
Glineur, François, Tsiaflakis, Paschalis   +1 more
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Recursive POD expansion for the advection-diffusion-reaction equation [PDF]

, 2018
This paper deals with the approximation of advection-diffusion-reaction equation solution by reduced order methods. We use the Recursive POD approximation for multivariate functions introduced in [M. AZAÏEZ, F. BEN BELGACEM, T. CHACÓN REBOLLO, Recursive
Azaïez, Majdi, Chacón Rebollo, Tomás, Perracchione, Emma, Vega de Prada, José Manuel   +3 more
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On the Rate of Convergence for the Pseudospectral Optimal Control of Feedback Linearizable Systems [PDF]

, 2009
In this paper, we prove a theorem on the rate of convergence for the optimal cost computed using PS methods. It is a first proved convergence rate in the literature of PS optimal control.
Kang, Wei
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Optimum Linear LLR Calculation for Iterative Decoding on Fading Channels

, 2007
On a fading channel with no channel state information at the receiver, calculating true log-likelihood ratios (LLR) is complicated. Existing work assume that the power of the additive noise is known and use the expected value of the fading gain in a ...
Ardakani, Masoud, Yazdani, Raman
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Isotopic Equivalence from Bezier Curve Subdivision [PDF]

, 2013
We prove that the control polygon of a Bezier curve B becomes homeomorphic and ambient isotopic to B via subdivision, and we provide closed-form formulas to compute the number of iterations to ensure these topological characteristics.
Li, J., Peters, T. J ., Roulier, J. A.
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