Sparse + low-energy decomposition for viscous conservation laws
type: Item
instance of: scholarly article
title: Sparse + low-energy decomposition for viscous conservation laws
zbMATH Open document ID: 1352.65413
author: Qin Li
author: Hayden Schaeffer
author: Thomas Y. Hou
published in: Journal of Computational Physics
publication date: 2016-12-20T00:00:00Z
Mathematics Subject Classification ID: 65M99
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 6666671
zbMATH Keywords: compressive sensing
zbMATH Keywords: sparsity
zbMATH Keywords: viscous conservation laws
zbMATH Keywords: decomposition
MaRDI profile type: Publication
full work available at URL: j.jcp.2015.02.019
OpenAlex ID: W1969957603
cites work: Stability and spectral convergence of Fourier method for nonlinear problems: on the shortcomings of the \(2/3\) de-aliasing method
cites work: Compressive sensing based machine learning strategy for characterizing the flow around a cylinder with limited pressure measurements
cites work: Compressive Sensing and Low-Rank Libraries for Classification of Bifurcation Regimes in Nonlinear Dynamical Systems
cites work: PDEs with compressed solutions
cites work: Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
cites work: Robust principal component analysis?
cites work: Rank-Sparsity Incoherence for Matrix Decomposition
cites work: A Data-Driven Stochastic Method for Elliptic PDEs with Random Coefficients
cites work: A dynamically bi-orthogonal method for time-dependent stochastic partial differential equations. I: Derivation and algorithms
cites work: A dynamically bi-orthogonal method for time-dependent stochastic partial differential equations. II: Adaptivity and generalizations
cites work: Spectral implementation of an adaptive moving mesh method for phase-field equations
cites work: On the stability of the unsmoothed Fourier method for hyperbolic equations
cites work: Robust Video Restoration by Joint Sparse and Low Rank Matrix Approximation
cites work: A Fourier spectral method for the Navier-Stokes equations with volume penalization for moving solid obstacles
cites work: Augmented \(\ell_1\) and nuclear-norm models with a globally linearly convergent algorithm
cites work: Weighted essentially non-oscillatory schemes
cites work: On the Compressive Spectral Method
cites work: Legendre Pseudospectral Viscosity Method for Nonlinear Conservation Laws
cites work: Propagation of error into regions of smoothness for accurate difference approximations to hyperbolic equations
cites work: The Fourier Method for Nonsmooth Initial Data
cites work: Introductory lectures on convex optimization. A basic course.
cites work: Compressed modes for variational problems in mathematics and physics
cites work: Compressed plane waves yield a compactly supported multiresolution basis for the Laplace operator
cites work: A low patch-rank interpretation of texture
cites work: Sparse dynamics for partial differential equations
cites work: Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
cites work: A note on the accuracy of spectral method applied to nonlinear conservation laws
cites work: Stability Analysis of Finite Difference, Pseudospectral and Fourier–Galerkin Approximations for Time-Dependent Problems
cites work: Convergence of Spectral Methods for Nonlinear Conservation Laws
cites work: Adaptive spectral viscosity for hyperbolic conservation laws
cites work: An $L^1$ Penalty Method for General Obstacle Problems
cites work: On dynamic mode decomposition: theory and applications
cites work: The Low Dimensionality of Time-Periodic Standing Waves in Water of Finite and Infinite Depth
cites work: Bregman Iterative Algorithms for $\ell_1$-Minimization with Applications to Compressed Sensing
DOI: 10.1016/J.JCP.2015.02.019
description: scientific article; zbMATH DE number 6666671