Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The treatment of cell migration via continuum PDEs is well established in biophysics, as is the role of cell arrangement in determining aspects of the progression of cancers.
“The treatment of cell migration via continuum PDEs is well established in biophysics36,37,38, as is the role of cell arrangement in determining aspects of the progression of cancers39.”
From Inference of weak-form partial differential equations describing migration and proliferation mechanisms in wound healing experiments on cancer cells (2025) · cites this paper as [39]
The citation lists haven’t been fetched yet
References 11 · Cited by 2,204
- Venue
- Lecture Notes in Computational Science and Engineering
- Publisher
- Springer Berlin Heidelberg
- Published
- 2012
- ISSN
- 1439-7358 (ISSN-L)
- OpenAlex
- W4245654886
- Cited by
- 2,204
- References
- 11
- Citations by year
- 2026: 99 · 2025: 174 · 2024: 249 · 2023: 231 · 2022: 260 · 2021: 213 · 2020: 183 · 2019: 168 · 2018: 172 · 2017: 132 · 2016: 110 · 2015: 85 · 2014: 69 · 2013: 39 · 2012: 20
- FWCI
- 28.06
- Type
- book
- Language
- en
- Open access
- closed
- Licence
- Locations
- Lecture notes in computational science and engineering (publishedVersion)
- Topics
- Physical Sciences › Engineering › Computational Mechanics › Advanced Numerical Methods in Computational Mathematics
- Physical Sciences › Mathematics › Modeling and Simulation › Mathematical and Computational Methods
- Physical Sciences › Mathematics › Numerical Analysis › Numerical methods for differential equations
- Keywords
- finite element analysis, partial differential equations
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 ›
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