Discontinuous Function Expansions is a method in Fourier series analysis that represents piecewise continuous functions with jump discontinuities as convergent series expansions, distinguished by their treatment of convergence behavior at points of discontinuity through the use of partial sums and Gibbs phenomenon characterization.
75
Publications
7.6K
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150
Authors
90
Institutions
Publications per year
2017–2026
4
Parents
Publications
75
On the Gibbs Phenomenon and Its Resolution
David Gottlieb, Chi‐Wang Shu · SIAM Review · 1997 · 846 citations
1–5 of 75
Authors
150
- DG
5
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- CS
5
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- JR
2
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- BG
2
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- RL
2
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1–5 of 150
Institutions
90
Brown University
Providence, United States
5 h-index
7 publications
285 citations
RWTH Aachen University
Aachen, Germany
3 h-index
8 publications
549 citations
University of Perugia
Perugia, Italy
2 h-index
3 publications
222 citations
The University of Tokyo
Tokyo, Japan
2 h-index
3 publications
79 citations
Northwestern University
Evanston, United States
2 h-index
3 publications
367 citations
The Aerospace Corporation
El Segundo, United States
2 h-index
8 publications
182 citations
University of Kentucky
Lexington, United States
2 h-index
6 publications
138 citations
University of Edinburgh
Edinburgh, United Kingdom
1 h-index
1 publications
10 citations
1–8 of 90
Venues
- Mathematics of Computation
MCOM · 5 publications · 225 citations
5
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- SIAM Journal on Numerical Analysis
4 publications · 136 citations
4
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- Journal of Mathematical Analysis and Applications
4 publications · 252 citations
4
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- International Journal for Numerical Methods in Engineering
2 publications · 1.4K citations
2
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- Israel Journal of Mathematics
2 publications · 53 citations
2
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1–5