Results 31 to 40 of about 13,291 (315)
International Journal of Circuits, Systems and Signal Processing, 2021 This paper discusses the application of local interpolation splines of the second order of approximation for the numerical solution of Volterra integral equations of the second kind. Computational schemes based on the use of polynomial and non-polynomial
I. Burova, G. Alcybeev
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On the steady‐state performance of bias‐compensated LMS algorithm
Electronics Letters, 2021 Adaptive filtering algorithms are widespread today owing to their flexibility and simplicity. Due to environments in which they are normally immersed, their robustness against noise has been a topic of interest.
Rodrigo Pimenta +3 more
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On convergence rates in approximation theory for operator semigroups [PDF]
, 2013 We create a new, functional calculus, approach to approximation of C_0-semigroups on Banach spaces. As an application of this approach, we obtain optimal convergence rates in classical approximation formulas for C_0-semigroups. In fact, our methods allow
A. Gomilko, Y. Tomilov
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Solving Poisson Equations by the MN-Curve Approach
Mathematics, 2022 In this paper, we adopt the choice theory of the shape parameters contained in the smooth radial basis functions to solve Poisson equations. Luh’s choice theory, based on harmonic analysis, is mathematically complicated and applies only to function ...
Lin-Tian Luh
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Convergence theory for the exact interpolation scheme with approximation vector as the first column of the prolongator and Rayleigh quotient iteration nonlinear smoother [PDF]
APPLICATIONS OF MATHEMATICS, 2017 We extend the analysis of the recently proposed nonlinear EIS scheme applied to the partial eigenvalue problem. We address the case where the Rayleigh quotient iteration is used as the smoother on the fine-level. Unlike in our previous theoretical results, where the smoother given by the linear inverse power method is assumed, we prove nonlinear speed ...
Ivana Pultarová, Petr Vaněk
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Mathematical Modeling of COVID-19 Transmission Using a Fractional Order Derivative
Fractal and Fractional, 2022 In this article, the mathematical model of COVID-19 is analyzed in the sense of a fractional order Caputo operator with the consideration of an asymptomatic class. The suggested model is comprised of four compartments. The results from fixed point theory
Badr S. Alkahtani
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Quadratic Interpolation and Linear Lifting Design
EURASIP Journal on Image and Video Processing, 2007 A quadratic image interpolation method is stated. The formulation is connected to the optimization of lifting steps. This relation triggers the exploration of several interpolation possibilities within the same context, which uses the theory of convex ...
Joel Solé, Philippe Salembier
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Undamped Free Vibration Analysis of Functionally Graded Beams: A Dynamic Finite Element Approach
Applied Mechanics, 2022 A Dynamic Finite Element (DFE) method for coupled axial–flexural undamped free vibration analysis of functionally graded beams is developed and subsequently used to investigate the system’s natural frequencies and mode shapes. The formulation is based on
Aaron Gee, Seyed M. Hashemi
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Some Notes on Error Analysis for Kernel Based Regularized Interpolation
International Journal of Analysis and Applications, 2020 Kernel based regularized interpolation is one of the most important methods for approximating functions. The theory behind the kernel based regularized interpolation is the well-known Representer Theorem, which shows the form of approximation function in
Qing Zou
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Density Problem and Approximation Error in Learning Theory
Abstract and Applied Analysis, 2013 We study the density problem and approximation error of reproducing kernel Hilbert spaces for the purpose of learning theory. For a Mercer kernel on a compact metric space (, ), a characterization for the generated reproducing kernel Hilbert space (RKHS)
Ding-Xuan Zhou
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