An Adaptive Fourier Filter for Relaxing Time Stepping Constraints for Explicit Solvers

DOI10.1007/978-3-319-19800-2_12zbMath1351.42011OpenAlexW2339062667WikidataQ60151374 ScholiaQ60151374MaRDI QIDQ2831193

Anne Gelb, Rick Archibald, Dennis Denker

Publication date: 2 November 2016

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-19800-2_12

zbMATH Keywords

stabilizationpiecewise smooth solutionsadaptive Fourier filterfirst order PDEs

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Harmonic analysis in one variable (42A99) Numerical methods for partial differential equations, boundary value problems (65N99) Numerical methods in Fourier analysis (65T99)

Cites Work

• Stability of the method of lines
• Enhanced spectral viscosity approximations for conservation laws
• Coordinate descent optimization for \(l^{1}\) minimization with application to compressed sensing; a greedy algorithm
• Spectral Methods for Time-Dependent Problems
• Finite Volume Methods for Hyperbolic Problems
• Accuracy of the Discrete Fourier Transform and the Fast Fourier Transform
• Sparse dynamics for partial differential equations

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