Results 1 to 10 of about 2,720 (211)
Asymptotic expansions for harmonic functions at conical boundary points [PDF]
Revista matemática iberoamericana, 2023 We prove three theorems about the asymptotic behavior of solutions u to the homogeneous Dirichlet problem for the Laplace equation at boundary points with tangent cones.
D. Kriventsov, Zongyuan Li
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Far-Field Expansions for Harmonic Maps and the Electrostatics Analogy in Nematic Suspensions [PDF]
Journal of nonlinear science, 2022 For a smooth bounded domain $$G\subset {{\mathbb {R}}}^3$$ G ⊂ R 3 , we consider maps $$n:{\mathbb {R}}^3\setminus G\rightarrow {\mathbb {S}}^2$$ n : R 3 \ G → S 2 minimizing the energy $$E(n)=\int _{{\mathbb {R}}^3{\setminus } G}|\nabla n|^2 +F_s(n_ ...
S. Alama +3 more
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The Performance of PCM Quantization Under Tight Frame Representations [PDF]
SIAM Journal on Mathematical Analysis, 2011 In this paper, we study the performance of the PCM scheme for quantizing finite unit-norm tight frame expansions for $\mathbb{R}^d$ and derive the PCM quantization error without the white noise hypothesis.
Yang Wang, Zhiqiang Xu
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Harmonic analysis meets stationarity: A general framework for series expansions of special Gaussian processes [PDF]
Bernoulli, 2018 In this paper, we present a new approach to derive series expansions for some Gaussian processes based on harmonic analysis of their covariance function. In particular, a new simple rate-optimal series expansion is derived for fractional Brownian motion.
M. Ndaoud
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Entanglement of harmonic systems in squeezed states [PDF]
Journal of High Energy Physics, 2023 The entanglement entropy of a free scalar field in its ground state is dominated by an area law term. It is noteworthy, however, that the study of entanglement in scalar field theory has not advanced far beyond the ground state.
Dimitrios Katsinis +2 more
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Spheroidal harmonic expansions for the solution of Laplace's equation for a point source near a sphere. [PDF]
Physical Review E, 2016 We propose a powerful approach to solve Laplace's equation for point sources near a spherical object. The central new idea is to use prolate spheroidal solid harmonics, which are separable solutions of Laplace's equation in spheroidal coordinates ...
Matt Majić, B. Auguié, E. L. Le Ru
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Physical and Chemical Aspects of the Study of Clusters Nanostructures and Nanomaterials, 2020 В статье представлены результаты применения модели общего гармонического поля для численного моделирования механических свойств близких по геометрической форме образцов наноструктур графена и силицена.
Михаил Анатольевич Журавков +2 more
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FRÉCHET FRAMES, GENERAL DEFINITION AND EXPANSIONS [PDF]
, 2012 We define an (X1, Θ, X2)-frame with Banach spaces X2 ⊆ X1, ‖ ⋅ ‖1 ≤ ‖ ⋅ ‖2, and a BK-space . Then by the use of decreasing sequences of Banach spaces and of sequence spaces , we define a General Frechet frame on the Frechet space .
Stevan Pilipovi'c, D. Stoeva
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Spherical evolution of the generalized harmonic gauge formulation of general relativity on compactified hyperboloidal slices [PDF]
Physical Review DWe report on the successful numerical evolution of the compactified hyperboloidal initial value problem in general relativity using generalized harmonic gauge. We work in spherical symmetry, using a massless scalar field to drive dynamics.
Christian Peterson +3 more
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Journal of Low Frequency Noise Vibration and Active Control, 2023 At present, there are few studies considering both nonlinear and fractional characteristics of suspension in vehicle systems. In this paper, a fractional nonlinear model of a quarter vehicle with two-degree-of-freedom (2-DOF) is innovatively proposed to ...
Yujian Chang +3 more
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