The DOI matches its Crossref record; 30 of the 30 references it cites were found in a registry or an index.
On the order of accuracy of the immersed boundary method: Higher order convergence rates for sufficiently smooth problems
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
Cites
Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
Harlow, F. H., & Welch, J. E. (1965) · The Physics of Fluids · doi:10.1063/1.1761178 · Cited by 5,977
Numerical solution of the Navier-Stokes equations
Chorin, A. J. (1968) · Mathematics of Computation · doi:10.1090/s0025-5718-1968-0242392-2 · Cited by 5,735
Peskin, C. S. (2002) · Acta Numerica · doi:10.1017/s0962492902000077 · Cited by 4,603
Self-citationStrong Stability-Preserving High-Order Time Discretization Methods
Gottlieb, S., Shu, C.-W., & Tadmor, E. (2001) · SIAM Review · doi:10.1137/s003614450036757x · Cited by 2,565
Efficient Management of Parallelism in Object-Oriented Numerical Software Libraries
Balay, S., Gropp, W. D., McInnes, L. C., & Smith, B. F. (1997) · Modern Software Tools for Scientific Computing · doi:10.1007/978-1-4612-1986-6_8 · Cited by 2,009
Balay, S., Abhyankar, S. G., Adams, M. F., Brown, J., Brune, P., Buschelman, K., Dalcín, L., Dener, A., Eijkhout, Gropp, W., et al. (2019) · Cited by 1,967
Briggs, W. L. (1987) · Cited by 1,868
A Multigrid Tutorial, Second Edition
Briggs, W. L., Henson, V. E., & McCormick, S. F. (2000) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9780898719505 · Cited by 1,510
An Immersed Boundary Method with Formal Second-Order Accuracy and Reduced Numerical Viscosity
Lai, M.-C., & Peskin, C. S. (2000) · Journal of Computational Physics · doi:10.1006/jcph.2000.6483 · Cited by 913
Self-citationhypre: A Library of High Performance Preconditioners
Falgout, R. D., & Yang, U. M. (2002) · Lecture Notes in Computer Science · doi:10.1007/3-540-47789-6_66 · Cited by 867
Cited by
Lattice-Boltzmann method for complex flows
Aidun, C. K., & Clausen, J. R. (2010) · Annual Review of Fluid Mechanics · doi:10.1146/annurev-fluid-121108-145519 · Cited by 1,991
Metadata
- Authors
- Griffith, B. E., & Peskin, C. S.
- Venue
- Journal of Computational Physics
- Publisher
- Elsevier BV
- Published
- 2005-09
- Volume
- 208
- Issue
- 1
- Pages
- 75-105
- ISSN
- 0021-9991 (ISSN-L)
- OpenAlex
- W2143063846
- Cited by
- 299
- References
- 30
- FWCI
- 18.21
- 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: On the order of accuracy of the immersed boundary method: Higher order convergence rates for sufficiently smooth problems. https://app.cochat.ai/papers/10.1016/j.jcp.2005.02.011
- The paper
- Griffith, B. E., & Peskin, C. S. (2005). On the order of accuracy of the immersed boundary method: Higher order convergence rates for sufficiently smooth problems. Journal of Computational Physics. https://doi.org/10.1016/j.jcp.2005.02.011
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.
