The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Comparison of Pseudospectral and Spectral Approximation
Abstract
The accuracy of pseudospectral (collocation) approximation is compared to spectral (Galerkin) approximation in some simple model problems. It is found that both approximations give similar errors, despite the inclusion of aliasing terms in pseudospectral approximation.
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Citations
Cites
An algorithm for the machine calculation of complex Fourier series
Cooley, J. W., & Tukey, J. W. (1965) · Mathematics of Computation · doi:10.1090/s0025-5718-1965-0178586-1 · Cited by 13,154
Orszag, S. A. (1971) · Studies in Applied Mathematics · doi:10.1002/sapm1971504293 · Cited by 493
Self-citationThe atmosphere and the sea in motion
Defant, A. (1960) · Deep Sea Research (1953) · doi:10.1016/0146-6313(60)90019-8 · Cited by 456
Numerical simulation of incompressible flows within simple boundaries: accuracy
Orszag, S. A. (1971) · Journal of Fluid Mechanics · doi:10.1017/s0022112071001940 · Cited by 271
Self-citationPseudospectral approximation to two-dimensional turbulence
Fox, D. G., & Orszag, S. A. (1973) · Journal of Computational Physics · doi:10.1016/0021-9991(73)90141-1 · Cited by 92
Self-citationGalerkin Approximations to Flows within Slabs, Spheres, and Cylinders
Orszag, S. A. (1971) · Physical Review Letters · doi:10.1103/physrevlett.26.1100 · Cited by 52
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Metadata
- Authors
- Orszag, S. A.
- Venue
- Studies in Applied Mathematics
- Publisher
- Wiley
- Published
- 1972-09
- Volume
- 51
- Issue
- 3
- Pages
- 253-259
- ISSN
- 0022-2526 (ISSN-L)
- 1467-9590
- OpenAlex
- W2337481013
- Cited by
- 319
- References
- 6
- FWCI
- 4.50
- Type
- journal article
- Language
- en
- Open access
- closed
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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
