The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
A fully multidimensional positive definite advection transport algorithm with small implicit diffusion
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
Difference Methods for Initial-Value Problems
Richtmyer, R. D., & Dill, E. H. (1959) · Physics Today · doi:10.1063/1.3060778 · Cited by 3,217
Fully multidimensional flux-corrected transport algorithms for fluids
Zalesak, S. T. (1979) · Journal of Computational Physics · doi:10.1016/0021-9991(79)90051-2 · Cited by 2,608
Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works
Boris, J. P., & Book, D. L. (1973) · Journal of Computational Physics · doi:10.1016/0021-9991(73)90147-2 · Cited by 2,124
Flux-corrected transport II: Generalizations of the method
Book, D. L., Boris, J. P., & Hain, K. (1975) · Journal of Computational Physics · doi:10.1016/0021-9991(75)90002-9 · Cited by 550
A Simple Positive Definite Advection Scheme with Small Implicit Diffusion
Smolarkiewicz, P. K. (1983) · Monthly Weather Review · doi:10.1175/1520-0493(1983)111<0479:aspdas>2.0.co;2 · Cited by 468
Self-citationThe Multi-Dimensional Crowley Advection Scheme
Smolarkiewicz, P. K. (1982) · Monthly Weather Review · Cited by 127
Self-citation
Cited by
Atmospheric Modeling, Data Assimilation and Predictability
Kalnay, E. (2002) · doi:10.1017/cbo9780511802270 · Cited by 3,391
Serpentine and the subduction zone water cycle
RUPKE, L. (2004) · Earth and Planetary Science Letters · doi:10.1016/j.epsl.2004.04.018 · Cited by 802
Goddard Cumulus Ensemble Model. Part I: Model Description
Tao, W.-K., & Simpson, J. (1993) · Terrestrial, Atmospheric and Oceanic Sciences · doi:10.3319/tao.1993.4.1.35(a · Cited by 697
Large-eddy simulation of turbulent flow above and within a forest
Shaw, R. H., & Schumann, U. (1992) · Boundary-Layer Meteorology · doi:10.1007/bf02033994 · Cited by 477
Tackley, P. J. (2008) · Physics of the Earth and Planetary Interiors · doi:10.1016/j.pepi.2008.08.005 · Cited by 398
Metadata
- Authors
- Smolarkiewicz, P. K.
- Venue
- Journal of Computational Physics
- Publisher
- Elsevier BV
- Published
- 1984-05
- Volume
- 54
- Issue
- 2
- Pages
- 325-362
- ISSN
- 0021-9991 (ISSN-L)
- OpenAlex
- W1976391619
- Cited by
- 622
- References
- 6
- FWCI
- 10.07
- 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: A fully multidimensional positive definite advection transport algorithm with small implicit diffusion. https://app.cochat.ai/papers/10.1016/0021-9991(84)90121-9
- The paper
- Smolarkiewicz, P. K. (1984). A fully multidimensional positive definite advection transport algorithm with small implicit diffusion. Journal of Computational Physics. https://doi.org/10.1016/0021-9991(84)90121-9
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.