Scattered Data Interpolation on Embedded Submanifolds with Restricted Positive Definite Kernels: Sobolev Error Estimates [PDF]
, 2011 In this paper we investigate the approximation properties of kernel interpolants on manifolds. The kernels we consider will be obtained by the restriction of positive definite kernels on $\R^d$, such as radial basis functions (RBFs), to a smooth, compact
Fuselier, Edward, Wright, Grady
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Thermoelectric transport of GaAs, InP, and PbTe: Hybrid functional with k · p ̃ interpolation versus scissor-corrected generalized gradient approximation [PDF]
Journal of Applied Physics, 2018 Boltzmann transport calculations based on band structures generated with the density functional theory are often used in the discovery and analysis of thermoelectric materials. In standard implementations, such calculations require dense k-point sampling
K. Berland, C. Persson
semanticscholar +1 more source
The spaces of exponential type vectors of complex degrees of positive operators
Karpatsʹkì Matematičnì Publìkacìï, 2013 New classes of interpolation spaces of exponential type vectors of complex degrees of positive operators are defined. Properties of the approximation spaces generated by the considered interpolation spaces are investigated.
M. I. Dmytryshyn
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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
semanticscholar +1 more source
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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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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Approximation of Parametric Derivatives by the Empirical Interpolation Method [PDF]
, 2011 We introduce a general a priori convergence result for the approximation of parametric derivatives of parametrized functions. We consider the best approximations to parametric derivatives in a sequence of approximation spaces generated by a general ...
A. Quarteroni +18 more
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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
doaj +2 more sources
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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