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Article
Open AccessRapid Diagnosis of Pneumocystis jirovecii Pneumonia and Respiratory Tract Colonization by Next-Generation Sequencing
To describe the epidemiology of Pneumocystis jirovecii pneumonia and colonization diagnosed by next-generation sequencing (NGS) and explore the usefulness of the number of P. jirovecii sequence reads for the diag...
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Article
A deep learning–machine learning fusion approach for the classification of benign, malignant, and intermediate bone tumors
To build and validate deep learning and machine learning fusion models to classify benign, malignant, and intermediate bone tumors based on patient clinical characteristics and conventional radiographs of the ...
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New Countryside in the Internet Age: The Development and Planning of E-Commerce Taobao Villages in China
With the progress of economic globalization and Internet informatization, Taobao Village become a special economic geographic phenomenon in Chinese rural region. Through analysis of the spatial distribution da...
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Article
Open AccessCT differential diagnosis of COVID-19 and non-COVID-19 in symptomatic suspects: a practical scoring method
Although typical and atypical CT image findings of COVID-19 are reported in current studies, the CT image features of COVID-19 overlap with those of viral pneumonia and other respiratory diseases. Hence, it is...
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Article
Open AccessThe Crank–Nicolson finite element method for the 2D uniform transmission line equation
We develop the Crank–Nicolson finite element (CNFE) method for the two-dimensional (2D) uniform transmission line equation, study the stability and existence as well as error estimates for the CNFE solutions o...
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Article
Open AccessA reduced order extrapolating technique of solution coefficient vectors to collocation spectral method for telegraph equation
In this article, we mainly develop a reduced order extrapolating model for the solution coefficient vectors of the classical collocation spectral (CCS) scheme to the two-dimensional (2D) telegraph equation by ...
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Article
Open AccessA spectral element Crank–Nicolson model to the 2D unsteady conduction–convection problems about vorticity and stream functions
In this study, a time semi-discretized Crank–Nicolson (CN) scheme of the two-dimensional (2D) unsteady conduction–convection problems for vorticity and stream functions is first built together with showing the...
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Article
Open AccessA reduced-order extrapolating collocation spectral method based on POD for the 2D Sobolev equations
In this paper, we mainly use a proper orthogonal decomposition (POD) to reduce the order of the coefficient vectors of the solutions for the classical collocation spectral (CS) method of two-dimensional (2D) S...
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Article
Open AccessAn optimized Crank–Nicolson finite difference extrapolating model for the fractional-order parabolic-type sine-Gordon equation
In this paper, by means of a proper orthogonal decomposition (POD) we mainly reduce the order of the classical Crank–Nicolson finite difference (CCNFD) model for the fractional-order parabolic-type sine-Gordon...
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Article
Open AccessA Crank–Nicolson finite spectral element method for the 2D non-stationary Stokes equations about vorticity–stream functions
In this article, we first develop a semi-discretized Crank–Nicolson format about time for the two-dimensional non-stationary Stokes equations about vorticity–stream functions and analyze the existence, uniquen...
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Article
Open AccessA Crank–Nicolson finite difference scheme for the Riesz space fractional-order parabolic-type sine-Gordon equation
In this paper, we focus on the study of the Crank–Nicolson finite difference (CNFD) scheme for the Riesz space fractional-order parabolic-type sine-Gordon equation (RSFOPTSGE). For this purpose, we first estab...
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Article
Open AccessA Crank–Nicolson collocation spectral method for the two-dimensional telegraph equations
In this paper, we mainly focus to study the Crank–Nicolson collocation spectral method for two-dimensional (2D) telegraph equations. For this purpose, we first establish a Crank–Nicolson collocation spectral m...
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Article
Open AccessA collocation spectral method for two-dimensional Sobolev equations
This article mainly studies a collocation spectral method for two-dimensional (2D) Sobolev equations. To this end, a collocation spectral model based on the Chebyshev polynomials for the 2D Sobolev equations i...
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Article
Optimized finite difference iterative scheme based on POD technique for 2D viscoelastic wave equation
This study develops an optimized finite difference iterative (OFDI) scheme for the two-dimensional (2D) viscoelastic wave equation. The OFDI scheme is obtained using a proper orthogonal decomposition (POD) met...
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Article
Open AccessA natural boundary element method for the Sobolev equation in the 2D unbounded domain
In this article, we devote ourselves to establishing a natural boundary element (NBE) method for the Sobolev equation in the 2D unbounded domain. To this end, we first constitute the time semi-discretized supe...
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Article
Open AccessAn optimized finite element extrapolating method for 2D viscoelastic wave equation
In this study, we first present a classical finite element (FE) method for a two-dimensional (2D) viscoelastic wave equation and analyze the existence, stability, and convergence of the FE solutions. Then we e...
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Article
Open AccessStabilized finite volume element method for the 2D nonlinear incompressible viscoelastic flow equation
In this article, we devote ourselves to building a stabilized finite volume element (SFVE) method with a non-dimensional real together with two Gaussian quadratures of the nonlinear incompressible viscoelastic...
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Article
Open AccessAn optimized finite difference Crank-Nicolson iterative scheme for the 2D Sobolev equation
In this paper, we devote ourselves to establishing the unconditionally stable and absolutely convergent optimized finite difference Crank-Nicolson iterative (OFDCNI) scheme containing very few degrees of freed...
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Article
Open AccessA stabilized MFE reduced-order extrapolation model based on POD for the 2D unsteady conduction-convection problem
In this study, we devote ourselves to establishing a stabilized mixed finite element (MFE) reduced-order extrapolation (SMFEROE) model holding seldom unknowns for the two-dimensional (2D) unsteady conduction-c...
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Article
Open AccessStabilized mixed finite element model for the 2D nonlinear incompressible viscoelastic fluid system
In this study, we first establish a stabilized mixed finite element (SMFE) model based on parameter-free and two local Gauss integrals for the two-dimensional (2D) nonlinear incompressible viscoelastic fluid s...