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Parallel Solution of the Schrödinger-Poisson Equation on GPUs
Quantum mechanical effects exhibited in carrier transport must often be accounted for in the development of future electronic devices. To achieve...
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Application of machine learning to model the pressure poisson equation for fluid flow on generic geometries
This study addresses the importance of enhancing traditional fluid-flow solvers by introducing a Machine Learning procedure to model pressure fields...
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A Symbolic-Numeric Method for Solving the Poisson Equation in Polar Coordinates
A new version of the method of collocations and least squares (CLS) is proposed for the numerical solution of the Poisson equation in polar...
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A real-time quality improvement method based on an adaptive dynamic screened Poisson equation for surveillance video in sand-dust weather
The videos captured by the surveillance equipment in sand-dust weather will have poor visibility, color distortion, and low contrast, and the...
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The simplest node-based equilibrium finite element for 2D Poisson equation with exploration of the equivalence among hybrid, flux-based and stress-function-based equilibrium elements
Getting a pair of compatible and equilibrated solutions is a prerequisite for dual analysis. Generally, compatible solution is obtained by the...
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Poisson Geometry of the Statistical Frobenius Manifold
New insights on parametric families of probability distributions (exponential type) are investigated. As shown by Combe-Manin (2020), flat...
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Poisson noise and Gaussian noise separation through copula theory
This study explores an innovative optimization problem in copula denoising, aiming to distinguish and eliminate both Poisson noise and Gaussian...
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Efficient GPU implementation of a Boltzmann-Schrödinger-Poisson solver for the simulation of nanoscale DG MOSFETs
A previous study by Mantas and Vecil (Int J High Perform Comput Appl 34(1): 81–102, 2019) describes an efficient and accurate solver for nanoscale DG...
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A mass- and energy-conserved DG method for the Schrödinger-Poisson equation
We construct, analyze, and numerically validate a class of conservative discontinuous Galerkin (DG) schemes for the Schrödinger-Poisson equation. The...
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Exploring the Global Solution Space of a Simple Schrödinger-Poisson Problem
Quantum electron transport in nanostructures can be described by a coupled Schrödinger-Poisson system. For the simulation of IV-characteristics we...
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Proximal alternating minimization method for Poisson noise removal
In this paper, utilizing the quadratic penalty technique and adding a proximal term in one subproblem, we propose the proximal alternating...
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Truncated Poisson–Dirichlet approximation for Dirichlet process hierarchical models
The Dirichlet process was introduced by Ferguson in 1973 to use with Bayesian nonparametric inference problems. A lot of work has been done based on...
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A fast look-up method for Bayesian mean-parameterised Conway–Maxwell–Poisson regression models
Count data that are subject to both under and overdispersion at some hierarchical level cannot be readily accommodated by classic models such as...
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Hybrid priors based on weighted hyper-Laplacian with overlap** group sparsity for poisson noise removal
Poisson noise widely exists in photo-limited imaging systems, which is very difficult to remove because of its signal-dependent and multiplicative...
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Tomographic reconstruction from Poisson distributed data: a fast and convergent EM-TV dual approach
This paper focuses on tomographic reconstruction for nuclear medicine imaging, where a classical approach consists to maximize the likelihood of...
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Performance and Energy Evaluation for Solving a Schrödinger-Poisson System on Multicore Processors
In this article, a Fourier-Galerkin approach for solving a Schrödinger-Poisson system is considered. The Fourier-Galerkin approach leads to an...
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Poisson noise image restoration method based on variational regularization
In image processing problems, when the photon-counting imaging technology is used to obtain the target image, it is usually interfered with by...
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De-Noising of Poisson Noise Corrupted CT Images by Using Modified Anisotropic Diffusion-Based PDE Filter
In Poisson noise, the number of collected photons is so small due to the low light environment that degrades the image by reducing image resolution...
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Arbitrarily high-order energy-conserving methods for Poisson problems
In this paper, we are concerned with energy-conserving methods for Poisson problems, which are effectively solved by defining a suitable...
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Improving a Multigrid Poisson Solver with Peer-to-Peer Communication and Task Dependencies
Multigrid methods are a family of mathematical methods governing linear time and storage complexity for solving several elliptic partial differential...