The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Lévy flights, non-local search and simulated annealing
Open accessAbstract
We solve a problem of non-convex stochastic optimisation with help of simulated annealing of Levy flights of a variable stability index. The search of the ground state of an unknown potential is non-local due to big jumps of the Levy flights process. The convergence to the ground state is fast due to a polynomial decrease rate of the temperature.
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
Equation of State Calculations by Fast Computing Machines
Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., & Teller, E. (1953) · The Journal of Chemical Physics · doi:10.1063/1.1699114 · Cited by 37,192
Cited by
Flower Pollination Algorithm for Global Optimization
Yang, X.-S. (2012) · Lecture Notes in Computer Science · doi:10.1007/978-3-642-32894-7_27 · Cited by 1,630
Firefly Algorithm, Lévy Flights and Global Optimization
Yang, X.-S. (2010) · Research and Development in Intelligent Systems XXVI · doi:10.1007/978-1-84882-983-1_15 · Cited by 962
Modified cuckoo search: A new gradient free optimisation algorithm
Walton, S., Hassan, O., Morgan, K., & Brown, M. R. (2011) · Chaos, Solitons & Fractals · doi:10.1016/j.chaos.2011.06.004 · Cited by 543
Nature-inspired optimization algorithms: Challenges and open problems
Yang, X.-S. (2020) · Journal of Computational Science · doi:10.1016/j.jocs.2020.101104 · Cited by 429
Metaheuristic Algorithms in Modeling and Optimization
Gandomi, A. H., Yang, X.-S., Talatahari, S., & Alavi, A. H. (2013) · Metaheuristic Applications in Structures and Infrastructures · doi:10.1016/b978-0-12-398364-0.00001-2 · Cited by 268
Metadata
- Authors
- Pavlyukevich, I.
- Venue
- Journal of Computational Physics
- Publisher
- Elsevier BV
- Published
- 2007-10
- Volume
- 226
- Issue
- 2
- Pages
- 1830-1844
- ISSN
- 0021-9991 (ISSN-L)
- OpenAlex
- W2169619350
- Cited by
- 672
- References
- 1
- FWCI
- 5.91
- Type
- journal article
- Language
- en
- Open access
- green
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: Lévy flights, non-local search and simulated annealing. https://app.cochat.ai/papers/10.1016/j.jcp.2007.06.008
- The paper
- Pavlyukevich, I. (2007). Lévy flights, non-local search and simulated annealing. Journal of Computational Physics. https://doi.org/10.1016/j.jcp.2007.06.008
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.
