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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

Kernel Interpolation with Sparse Grids

open access: yesAdvances in Neural Information Processing Systems 35, 2022
Structured kernel interpolation (SKI) accelerates Gaussian process (GP) inference by interpolating the kernel covariance function using a dense grid of inducing points, whose corresponding kernel matrix is highly structured and thus amenable to fast linear algebra.
Mohit Yadav   +2 more
openaire   +3 more sources

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 Multigrid Method for Adaptive Sparse Grids [PDF]

open access: yesSIAM Journal on Scientific Computing, 2015
Summary: Sparse grids have become an important tool to reduce the number of degrees of freedom of discretizations of moderately high-dimensional partial differential equations; however, the reduction in degrees of freedom comes at the cost of an almost dense and unconventionally structured system of linear equations.
Peherstorfer, Benjamin   +3 more
openaire   +4 more sources

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

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