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On the spectral bias of coupled frequency predictor–corrector triangular DNN: The convergence analysis
Data-driven neural network algorithms show extraordinary promise in the field of scientific computing and artificial intelligence, but they are still...
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Novel mode-coupling vibrations of AlN thin film bulk acoustic resonator operating with thickness-extensional mode
The dispersion curves of bulk waves propagating in both AlN and ZnO film bulk acoustic resonators (FBARs) are presented to illustrate the mode flip...
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On the Eigen Frequencies of Rectangular Resonator with a Hole in the Wall
The rectangular waveguide is attached to a hole in a wall of rectangular resonator and the corresponding to the hole part of the waveguide boundary...
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Global Stability Analysis of JAXA H-II Transfer Vehicle Re-entry Capsule
The Japan Aerospace Exploration Agency (JAXA) conducted experimental and numerical investigations on the H-II Transfer Vehicle Re-entry (HTV-R)...
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Multiscale transforms for signals on simplicial complexes
Our previous multiscale graph basis dictionaries/graph signal transforms—Generalized Haar-Walsh Transform (GHWT); Hierarchical Graph Laplacian Eigen...
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On Resonant Effects in the Semi-Infinite Waveguides with Barriers
The problems of electromagnetic wave diffraction by thin conductive barriers in a semi-infinite parallel-plate waveguide are reduced to infinite sets...
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On the Completeness of Normal Waves in an Inhomogeneous Partially Shielded Dielectric Layer
AbstractThe problem on normal TE-waves in an inhomogeneous partially shielded dielectric layer is reduced to eigenvalue problem for the component of...
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Rayleigh–Bénard Convection in a Bi-viscous Bingham Fluid with Weak Vertical Harmonic Oscillations: Linear and Non-linear Analyses
Linear and weakly non-linear stability analyses of Rayleigh–Bénard convection in a bi-viscous Bingham fluid layer are performed in the presence of...
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Graph Fourier transform based on singular value decomposition of the directed Laplacian
The Graph Fourier transform (GFT) is a fundamental tool in graph signal processing. In this paper, based on singular value decomposition of the...
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A Comparative Study from Spectral Analyses of High-Order Methods with Non-Constant Advection Velocities
The response of numerical methods to flow properties dynamic changes is a key ingredient of numerical modeling calibration. In this context, a range...
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The Method of Integral Variational Relations in the Problem of Eigenwaves of a Plane Dielectric Layer Coated with Graphene
AbstractThe problem of propagation of electromagnetic waves in a inhomogeneous dielectric layer coated on one side with a layer of graphene, which is...
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Animal Shapes, Modal Analysis, and Visualization of Motion (II): Dynamics and Fourier Decomposition
This paper begins with solving the linear elastodynamic equation with forcing by expanding it into Fourier series. We then proceed to prove the...
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Calculation of the Solar Radiation Field in the General Circulation Model of the Earth’s Lower and Middle Atmosphere
AbstractThe results of testing two radiation blocks used for the cost-effective calculation of radiation transfer in the general circulation model of...
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Linearized Formulation for Fluid-Structure-Interaction for Rigid-Body Motion
A linearized formulation for fluid-structure-interaction problems exhibiting rigid-body-motion is presented. The linearized equations are evaluated...
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Nonlocal vibration and buckling of two-dimensional layered quasicrystal nanoplates embedded in an elastic medium
A mathematical model for nonlocal vibration and buckling of embedded two-dimensional (2D) decagonal quasicrystal (QC) layered nanoplates is proposed....
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On two initial-boundary-value problems for impact dynamics of metaconcrete rods
Coated stiff sphere-filled metacomposites are a new type of composite materials for vibration isolation and wave attenuation. In the present paper, a...
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High-Dimensional Volatility Matrix Estimation with Cross-Sectional Dependent and Heavy-Tailed Microstructural Noise
The estimates of the high-dimensional volatility matrix based on high-frequency data play a pivotal role in many financial applications. However,...
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Toeplitz Operators Associated with the Deformed Windowed Fourier Transform
This article deals with the study of Toeplitz operators associated with the deformed windowed Fourier transform. The primary aim is to study the...
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On the Resonant Passage of Electromagnetic Wave through Waveguide with Diaphragms
AbstractA rectangular resonator with holes embedded in two plane-transverse resonant diaphragms is built in a plane infinite waveguide. The problem...
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Hybrid Acoustic System for Underwater Target Detection and Tracking
The detection and localization of underwater targets, including submarines and Unmanned Underwater Vehicles (UUVs), play a crucial role in various...
