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An enrichment technique for bending analysis of in-plane heterogeneous thin plates with weak singularities
Static solution of thin elastic plate problems with in-plane varying thickness or material properties having weak point singularities (e.g. crack tip...
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A philosophical view on singularity and strong AI
More intellectual modesty, but also conceptual clarity is urgently needed in AI, perhaps more than in many other disciplines. AI research has been...
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Optimal convergence analysis of weak Galerkin finite element methods for parabolic equations with lower regularity
This paper is devoted to investigating the optimal convergence order of a weak Galerkin finite element approximation to a second-order parabolic...
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Weak form of bond-associated peridynamic differential operator for solving differential equations
In this paper, the weak form of bond-associated peridynamic differential operator is proposed to solve differential equations. The presented method...
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A coupled weak-form meshfree method for underwater noise prediction
A meshfree weak-form method based on combining a radial point interpolation method (RPIM) and modified Dirichlet-to-Neumann (MDtN) boundary condition...
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Novel numerical methods based on graded, adaptive and uniform meshes for a time-fractional advection-diffusion equation subjected to weakly singular solution
This paper presents adaptive, graded and uniform mesh schemes to approximate the solution of a fractional order advection-diffusion model, which...
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Numerical correction of finite difference solution for two-dimensional space-fractional diffusion equations with boundary singularity
In this paper, an efficient algorithm is presented by adopting the extrapolation technique to improve the accuracy of finite difference schemes for...
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Security assurance of MongoDB in singularity LXCs: an elastic and convenient testbed using Linux containers to explore vulnerabilities
It is essential to ensure the data security of data analytical frameworks as any security vulnerability existing in the system can lead to a data...
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Using Gauss-Jacobi quadrature rule to improve the accuracy of FEM for spatial fractional problems
Though the finite element method has been widely used in solving fractional differential equations, the effects of the Gaussian quadrature rule on...
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Discrete comparison principle of a finite difference method for the multi-term time fractional diffusion equation
A discrete comparison principle is given for the multi-term time fractional diffusion equation, where the discrete scheme is based on L1...
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Medical image segmentation model based on caputo fractional differential
Medical image segmentation technology, as a key work of modern medical such as intelligent medical diagnosis, has attracted a lot of attention....
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A fast second-order predictor-corrector method for a nonlinear time-fractional Benjamin-Bona-Mahony-Burgers equation
A second-order predictor-corrector method of Nguyen and Jang (Fract. Calc. Appl. Anal. 20 (2), 447–476,
2017 ) is generalised to graded meshes to solve... -
Parallel Numerical Simulation of Sonic Log for 3D Heterogeneous TTI Media
The paper presents an approach to the numerical simulation of sonic logging for arbitrary Tilted Transversely Isotropic (TTI) heterogeneous...
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Fitted schemes for Caputo-Hadamard fractional differential equations
In the present paper, the regularity and finite difference methods for Caputo-Hadamard fractional differential equations with initial value...
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A mixed virtual element method for the time-fractional fourth-order subdiffusion equation
We propose and analyze a mixed virtual element method for time-fractional fourth-order subdiffusion equation involving the Caputo fractional...
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Lexeme connexion measure of cohesive lexical ambiguity revealing factor: a robust approach for word sense disambiguation of Bengali text
Word sense disambiguation (WSD) is the process of finding out the appropriate meaning of a polysemous word based on any given context. The Bengali...
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A stable and efficient infinite meshfree approach for solving half-space heat conduction problems
This study introduces an innovative dynamic infinite meshfree method for robust and efficient solutions to half-space problems. This approach...
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Fingerprint Analysis and Representation
This chapter introduces classical domain knowledge-based and emerging learning-based techniques for feature extraction in fingerprints. Specific...
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A fast algorithm for multi-term time-space fractional diffusion equation with fractional boundary condition
In this paper, the multi-term time-space fractional diffusion equation with fractional boundary conditions is considered. The fractional derivative...
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Rotation invariance and equivariance in 3D deep learning: a survey
Deep neural networks (DNNs) in 3D scenes show a strong capability of extracting high-level semantic features and significantly promote research in...
