The DOI matches its Crossref record.
Iterative Procedures for Nonlinear Integral Equations
Open accessAbstract
The numerical solution of nonlinear integral equations involves the iterative so-Iutioon of finite systems of nonlinear algebraic or transcendental equations.Certain corwentional techniqucs for treating such systems are reviewed in the context of a particular class of nonlinear equations.A procedure is synthesized to offset some of the disadvantages of these techniques in this context; however, the procedure is not restricted to this pt~rticular class of systems of nonlinear equations.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cited by
Noisy intermediate-scale quantum algorithms
Bharti, K., Cervera-Lierta, A., Kyaw, T. H., Haug, T., Alperin-Lea, S., Anand, A., Degroote, M., Heimonen, H., Kottmann, J. S., Menke, T., et al. (2022) · Reviews of Modern Physics · doi:10.1103/revmodphys.94.015004 · Cited by 2,231
Pseudopotential methods in condensed matter applications
Pickett, W. E. (1989) · Computer Physics Reports · doi:10.1016/0167-7977(89)90002-6 · Cited by 915
octopus:a tool for the application of time‐dependent density functional theory
Castro, A., Appel, H., Oliveira, M., Rozzi, C. A., Andrade, X., Lorenzen, F., Marques, M. A. L., Gross, E. K. U., & Rubio, A. (2006) · physica status solidi (b) · doi:10.1002/pssb.200642067 · Cited by 894
Modified Broyden’s method for accelerating convergence in self-consistent calculations
Johnson, D. D. (1988) · Physical Review B · doi:10.1103/physrevb.38.12807 · Cited by 593
Revised self-consistent continuum solvation in electronic-structure calculations
Andreussi, O., Dabo, I., & Marzari, N. (2012) · The Journal of Chemical Physics · doi:10.1063/1.3676407 · Cited by 538
Metadata
- Authors
- Anderson, D. G.
- Venue
- Journal of the ACM
- Published
- 1965-10
- Volume
- 12
- Issue
- 4
- Pages
- 547-560
- ISSN
- 0004-5411 (ISSN-L)
- 1557-735X
- OpenAlex
- W2038281434
- Cited by
- 979
- References
- 0
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- bronze
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Iterative Procedures for Nonlinear Integral Equations. https://app.cochat.ai/papers/10.1145/321296.321305
- The paper
- Anderson, D. G. (1965). Iterative Procedures for Nonlinear Integral Equations. Journal of the ACM. https://doi.org/10.1145/321296.321305
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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.