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A Finite Element Algorithm for the Nonstationary Incompressible Magnetohydrodynamic System Based on a Correction Method
In this paper, we study a finite element algorithm for the nonstationary incompressible magnetohydrodynamic equations using a correction method. The...
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Unconditional superconvergence analysis of a structure-preserving finite element method for the Poisson-Nernst-Planck equations
In this paper, a linearized structure-preserving Galerkin finite element method is investigated for Poisson-Nernst-Planck (PNP) equations. By making...
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How to Design a Generic Accuracy-Enhancing Filter for Discontinuous Galerkin Methods
Higher order accuracy is one of the well-known beneficial properties of the discontinuous Galerkin (DG) method. Furthermore, many studies have...
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Poisson Processes
Poisson processes are particular types of random point processes. A random point process on the line (resp. in space) is, roughly speaking, a...
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Mathematical Modelling of Parasite Dynamics: A Stochastic Simulation-Based Approach and Parameter Estimation via Modified Sequential-Type Approximate Bayesian Computation
The development of mathematical models for studying newly emerging and re-emerging infectious diseases has gained momentum due to global events. The...
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Unconditionally convergence and superconvergence error analysis of a mass- and energy-conserved finite element method for the Schrödinger–Poisson equation
This paper aims to investigate the unconditionally optimal and superconvergent error estimates of a mass- and energy-conserved finite element method...
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Approximate Bayesian computation approach on the maximal offspring and parameters in controlled branching processes
Our purpose is to estimate the posterior distribution of the parameters of interest for controlled branching processes (CBPs) without prior knowledge...
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A survey on multiscale mollifier decorrelation of seismic data
In this survey paper, we present a multiscale post-processing method in exploration. Based on a physically relevant mollifier technique involving the...
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Local superconvergence of post-processed high-order finite volume element solutions
Local superconvergence properties of the post-processed finite volume element method (FVEM) are studied. Some interpolation/extrapolation...
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Potential and flux recovery
This chapter addresses topics related to the approximation of Darcy’s equations using either mixed or...
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Virtual Element Method for Singularly Perturbed Reaction-Diffusion Problems on Polygonal Domains
In this paper, the virtual element method is used for the numerical approximation of singularly perturbed linear problems of reaction-diffusion type...
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A Hybrid Approach to Fast Indirect Quadrilateral Mesh Generation
Indirect quadrilateral mesh generation methods are commonly used particularly for numerical simulations due to their adaptiveness to different...
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Performance Evaluation of SX-Aurora TSUBASA and Its QA-Assisted Application Design
In this article, we present an overview of our on-going project entitled, R&D of a Quantum-Annealing Assisted Next Generation HPC Infrastructure and...
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Unconditional superconvergence analysis of an energy dissipation property preserving nonconforming FEM for nonlinear BBMB equation
In this article, an energy dissipation property preserving modified Crank–Nicolson (CN) fully-discrete scheme is developed and investigated with the...
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An Optimally Stable Approximation of Reactive Transport Using Discrete Test and Infinite Trial Spaces
In this contribution we propose an optimally stable ultraweak Petrov-Galerkin variational formulation and subsequent discretization for stationary...
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Multivariate Functional Approximation of Scientific Data
While our computational capability to generate raw data grows, the ability to store, transform, and draw conclusions from scientific data is lagging....
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Evaluation of Fingerprint Minutiae on Ridge Structure Using Gabor and Closed Hull Filters
Minutiae-based fingerprint recognition system is an important technique for person identification. Yet spurious and false minutiae are often occurred...
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3D Filtering of Images Corrupted by Additive-Multiplicative Noise
AbstractA novel method for filtering images contaminated by mixed (additive-multiplicative) noise is substantiated and implemented for the first...
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Challenges for Tractogram Filtering
Tractography aims at describing the most likely neural fiber paths in white matter. A general issue of current tractography methods is their large...