Results 91 to 100 of about 112,931 (232)
Boundary problem for the singular heat equation
The scheme for solving of a mixed problem with general boundary conditions is proposed for a heat equation \[a(x)\frac{\partial T}{\partial \tau}= \frac{\partial}{\partial x} \left(\lambda(x)\frac{\partial T}{\partial x}\right)\] with coefficient $a(x ...
O.V. Makhnei
doaj +1 more source
Non‐Migrating Thermal Tides in the Martian Lower Atmosphere Observed by EMM/EMIRS
Abstract Thermal tides significantly influence Martian atmospheric dynamics and radiative transfer. However, the excitation mechanisms of non‐migrating tides, exhibiting diverse spatial structures, remain poorly understood due to the limited number of observations.
Cong Sun +13 more
wiley +1 more source
In this work, we deal with the autonomy issue in the perturbation expansion for the eigenfunctions of a compact Hilbert–Schmidt integral operator. Here, the autonomy points to the perturbation expansion coefficients of the relevant eigenfunction not ...
Süha Tuna, Metin Demiralp
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Change Point Analysis for Functional Data Using Empirical Characteristic Functionals
ABSTRACT We develop a new method to detect change points in the distribution of functional data based on integrated CUSUM processes of empirical characteristic functionals. Asymptotic results are presented under conditions allowing for low‐order moments and serial dependence in the data establishing the limiting null‐distribution of the proposed test ...
Lajos Horváth +2 more
wiley +1 more source
EigenGP: Gaussian Process Models with Adaptive Eigenfunctions [PDF]
Gaussian processes (GPs) provide a nonparametric representation of functions. However, classical GP inference suffers from high computational cost for big data. In this paper, we propose a new Bayesian approach, EigenGP, that learns both basis dictionary
Peng, Hao, Qi, Yuan
core
Functional Sieve Bootstrap for the Partial Sum Process With an Application to Change‐Point Detection
ABSTRACT This article applies the functional sieve bootstrap (FSB) to estimate the distribution of the partial sum process for time series stemming from a weakly stationary functional process. Consistency of the FSB procedure under weak assumptions on the underlying functional process is established.
Efstathios Paparoditis +2 more
wiley +1 more source
Nonstationary scattering of elastic waves by a spherical inclusion [PDF]
Problems of elastic wave scattering by various types of inhomogeneities rank among the most complex and relevant topics in the field of deformable solid dynamics.
Usmonov, Botir Shukurillaevich +3 more
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Value distribution for eigenfunctions of desymmetrized quantum maps
We study the value distribution and extreme values of eigenfunctions for the ``quantized cat map''. This is the quantization of a hyperbolic linear map of the torus. In a previous paper it was observed that there are quantum symmetries of the quantum map
Kurlberg, Par, Rudnick, Zeev
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A New Approach to Statistical Inference for Functional Time Series
ABSTRACT The analysis of time‐indexed functional data plays an important role in the field of business and economic statistics. In the literature, statistical inference for functional time series often involves reducing the dimension of functional data to a finite dimension K$$ K $$, followed by the use of tools from multivariate analysis.
Hanjia Gao, Yi Zhang, Xiaofeng Shao
wiley +1 more source
A nonlocal boundary problem for the Laplace operator in a half disk
In the present work we investigate the nonlocal boundary problem for the Laplace equation in a half disk. The difference of this problem is the impossibility of direct applying of the Fourier method (separation of variables). Because the corresponding
Gani A. Besbaev +2 more
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