Compressed plane waves yield a compactly supported multiresolution basis for the Laplace operator

DOI10.1073/pnas.1323260111zbMath1355.35054OpenAlexW2147779004WikidataQ37571431 ScholiaQ37571431MaRDI QIDQ2962205

Vidvuds Ozoliņš, Rongjie Lai, Stanley J. Osher, Russel E. Caflisch

Publication date: 16 February 2017

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.1323260111

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20)

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Cites Work

• A splitting method for orthogonality constrained problems
• Diffusion wavelets
• Shift-orthogonal wavelet bases
• The Split Bregman Method for L1-Regularized Problems
• Ten Lectures on Wavelets
• Compressed modes for variational problems in mathematics and physics
• Bregman Iterative Algorithms for $\ell_1$-Minimization with Applications to Compressed Sensing
• An Iterative Regularization Method for Total Variation-Based Image Restoration

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