Numerical analysis for conservation laws using \(l_1\) minimization
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Publication:2291861
DOI10.1007/s10915-019-00982-7zbMath1433.65176OpenAlexW2948283218MaRDI QIDQ2291861
Publication date: 31 January 2020
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-019-00982-7
Numerical optimization and variational techniques (65K10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Euler equations (35Q31)
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- Image reconstruction from undersampled Fourier data using the polynomial annihilation transform
- Sparse + low-energy decomposition for viscous conservation laws
- Enhancing sparsity by reweighted \(\ell _{1}\) minimization
- Shock capturing by the spectral viscosity method
- Using \(\ell _1\) regularization to improve numerical partial differential equation solvers
- A note on the accuracy of spectral method applied to nonlinear conservation laws
- The Lasso problem and uniqueness
- A fast algorithm for solving first-order PDEs by \(L^1\)-minimization
- Hybrid Compact-WENO Finite Difference Scheme with Conjugate Fourier Shock Detection Algorithm for Hyperbolic Conservation Laws
- Time-Dependent Problems and Difference Methods
- Adaptive Spectral Viscosity for Hyperbolic Conservation Laws
- ENTROPY CONSERVATIVE SCHEMES AND ADAPTIVE MESH SELECTION FOR HYPERBOLIC CONSERVATION LAWS
- Probing the Pareto Frontier for Basis Pursuit Solutions
- Convergence of Spectral Methods for Nonlinear Conservation Laws
- Solution of Steady-State, Two-Dimensional Conservation Laws by Mathematical Programming
- Composite Schemes for Conservation Laws
- On the Gibbs Phenomenon and Its Resolution
- Finite Volume Methods for Hyperbolic Problems
- Solution of Steady-State One-Dimensional Conservation Laws by Mathematical Programming
- Sparse dynamics for partial differential equations
- Polynomial Fitting for Edge Detection in Irregularly Sampled Signals and Images
