The DOI matches its Crossref record.
An Introduction to Numerical Analysis
Abstract
Error: Its Sources, Propagation, and Analysis. Rootfinding for Nonlinear Equations. Interpolation Theory. Approximation of Functions. Numerical Integration. Numerical Methods for Ordinary Differential Equations. Linear Algebra. Numerical Solution of Systems of Linear Equations. The Matrix Eigenvalue Problem. Appendix. Answers to Selected Problems. Index.
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
Neural networks and principal component analysis: Learning from examples without local minima
Baldi, P., & Hornik, K. (1989) · Neural Networks · doi:10.1016/0893-6080(89)90014-2 · Cited by 1,383
Simulating the dynamics and interactions of flexible fibers in Stokes flows
Tornberg, A.-K., & Shelley, M. J. (2004) · Journal of Computational Physics · doi:10.1016/j.jcp.2003.10.017 · Cited by 396
Vertex-frequency analysis on graphs
Shuman, D. I., Ricaud, B., & Vandergheynst, P. (2016) · Applied and Computational Harmonic Analysis · doi:10.1016/j.acha.2015.02.005 · Cited by 349
Form and capacitance of parallel-plate capacitors
Nishiyama, H., & Nakamura, M. (1994) · IEEE Transactions on Components, Packaging, and Manufacturing Technology: Part A · doi:10.1109/95.311759 · Cited by 144
Miranowicz, A., Bartkiewicz, K., Peřina, J., Koashi, M., Imoto, N., & Nori, F. (2014) · Physical Review A · doi:10.1103/physreva.90.062123 · Cited by 57
Metadata
- Authors
- S., F., & Atkinson, K. E.
- Venue
- Mathematics of Computation
- Publisher
- JSTOR
- Published
- 1990-04
- Volume
- 54
- Issue
- 190
- Pages
- 903
- ISSN
- 0025-5718 (ISSN-L)
- OpenAlex
- W2010069926
- Cited by
- 3,041
- References
- 0
- FWCI
- 90.55
- Type
- journal article
- Language
- en
- Open access
- closed
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: An Introduction to Numerical Analysis. https://app.cochat.ai/papers/10.2307/2008519
- The paper
- S., F., & Atkinson, K. E. (1990). An Introduction to Numerical Analysis. Mathematics of Computation. https://doi.org/10.2307/2008519
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.
