The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
On Direct Methods for Solving Poisson’s Equations
Open accessAbstract
Some efficient and accurate direct methods are developed for solving certain elliptic partial difference equations over a rectangle with Dirichlet, Neumann or periodic boundary conditions. Generalizations to higher dimensions and to L-shaped regions are included.
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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
Bramble, J. H., & Varga, R. S. (1963) · Mathematics of Computation · doi:10.2307/2003862 · Cited by 4,091
Introduction to Matrix Analysis
Bellman, R. (1960) · Cited by 2,973
Introduction to matrix analysis
Amar, H. (1960) · Journal of the Franklin Institute · doi:10.1016/0016-0032(60)90904-2 · Cited by 2,316
A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
Hockney, R. W. (1965) · Journal of the ACM · doi:10.1145/321250.321259 · Cited by 683
The potential calculation and some applications
Hockney, R. W. (1970) · Methods in computational physics · Cited by 650
The Direct Solution of the Discrete Poisson Equation on a Rectangle
Dorr, F. W. (1970) · SIAM Review · doi:10.1137/1012045 · Cited by 219
Metadata
- Authors
- Buzbee, B. L., Golub, G. H., & Nielson, C. W.
- Venue
- SIAM Journal on Numerical Analysis
- Published
- 1970-12
- Volume
- 7
- Issue
- 4
- Pages
- 627-656
- ISSN
- 0036-1429 (ISSN-L)
- 1095-7170
- OpenAlex
- W2006850990
- Cited by
- 734
- References
- 7
- FWCI
- 14.95
- Type
- journal article
- Language
- en
- Open access
- green
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- CoChat. (2026). Citation check: On Direct Methods for Solving Poisson’s Equations. https://app.cochat.ai/papers/10.1137/0707049
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- Buzbee, B. L., Golub, G. H., & Nielson, C. W. (1970). On Direct Methods for Solving Poisson’s Equations. SIAM Journal on Numerical Analysis. https://doi.org/10.1137/0707049
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
