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VIM-Based Dynamic Sparse Grid Approach to Partial Differential Equations [PDF]

open access: yesThe Scientific World Journal, 2014
Combining the variational iteration method (VIM) with the sparse grid theory, a dynamic sparse grid approach for nonlinear PDEs is proposed in this paper. In this method, a multilevel interpolation operator is constructed based on the sparse grids theory
Shu-Li Mei
doaj   +2 more sources

HPM-Based Dynamic Sparse Grid Approach for Perona-Malik Equation [PDF]

open access: yesThe Scientific World Journal, 2014
The Perona-Malik equation is a famous image edge-preserved denoising model, which is represented as a nonlinear 2-dimension partial differential equation.
Shu-Li Mei, De-Hai Zhu
doaj   +2 more sources

Microstructure-Sensitive Uncertainty Quantification for Crystal Plasticity Finite Element Constitutive Models Using Stochastic Collocation Methods

open access: yesFrontiers in Materials, 2022
Uncertainty quantification (UQ) plays a major role in verification and validation for computational engineering models and simulations, and establishes trust in the predictive capability of computational models.
Anh Tran , Tim Wildey , Hojun Lim 
doaj   +1 more source

Reweighted Off-Grid Sparse Spectrum Fitting for DOA Estimation in Sensor Array with Unknown Mutual Coupling

open access: yesSensors, 2023
In the environment of unknown mutual coupling, many works on direction-of-arrival (DOA) estimation with sensor array are prone to performance degradation or even failure. Moreover, there are few literatures on off-grid direction finding using regularized
Liangliang Li   +4 more
doaj   +1 more source

Off-Grid DOA Estimation Using Sparse Bayesian Learning for MIMO Radar under Impulsive Noise

open access: yesSensors, 2022
Direction of arrival (DOA) estimation is an essential and fundamental part of array signal processing, which has been widely used in radio monitoring, autonomous driving of vehicles, intelligent navigation, etc.
Jitong Ma   +3 more
doaj   +1 more source

3D Off-Grid Localization for Adjacent Cavitation Noise Sources Using Bayesian Inference

open access: yesSensors, 2023
The propeller tip vortex cavitation (TVC) localization problem involves the separation of noise sources in proximity. This work describes a sparse localization method for off-grid cavitations to estimates their precise locations while keeping reasonable ...
Minseuk Park   +3 more
doaj   +1 more source

A Robust Multi Sample Compressive Sensing Technique for DOA Estimation Using Sparse Antenna Array

open access: yesIEEE Access, 2020
In this paper, a multi sample compressive sensing (CS) technique is presented for the direction of arrival (DOA) estimation using sparse antenna array that has applications in several fields including radars and sonars.
Hamid Ali Mirza   +4 more
doaj   +1 more source

Stochastic Optimization of Economic Dispatch With Wind and Photovoltaic Energy Using the Nested Sparse Grid-Based Stochastic Collocation Method

open access: yesIEEE Access, 2019
Due to the increasing uncertainty brought about by renewable energy, conventional deterministic dispatch approaches have not been very applicative. This paper investigates a nested sparse grid-based stochastic collocation method (NS-SCM) as a possible ...
Zhilin Lu   +3 more
doaj   +1 more source

A combined BP‐MF algorithm for wideband off‐grid DOA estimation with DP prior

open access: yesElectronics Letters, 2022
Direction‐of‐arrival (DOA) estimation based on sparse Bayesian learning (SBL) framework has attracted extensive attention. The accuracy of on‐grid DOA estimation is restricted by the prescribed grid, while off‐grid approaches resolves the problem of grid
Mengge Li   +3 more
doaj   +1 more source

Test of a cubic spline interface for physical processes with a 1-D third-order spectral element model

open access: yesTellus: Series A, Dynamic Meteorology and Oceanography, 2019
A common way to introduce physical processes into numerical models of the atmosphere is to call the parameterization at every grid point. This can lead to considerable errors.
J. Steppeler, J. Li, F. Fang, J. Zhu
doaj   +1 more source

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