User:Kounelaki.27/Laplacian vector field/Bibliography

You will be compiling your bibliography and creating an outline of the changes you will make in this sandbox.

Bibliography

As you gather the sources for your Wikipedia contribution, think about the following:

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Bibliography

Abreu-Blaya, R., et al. "Laplacian decomposition of vector fields on fractal surfaces." Mathematical Methods in the Applied Sciences, vol. 31, no. 7, 2008, pp. 849–857, doi:10.1002/mma.952.^[1]

This is a peer reviewed science journal, so it is a reputable source. This source can be placed in the applications section of the article.

Abreu-Blaya, R., J. Bory-Reyes, and M. Shapiro. "On the Laplacian vector fields theory in domains with rectifiable boundary." Mathematical Methods in the Applied Sciences, vol. 29, no. 15, 2006, pp. 1861–1881, https://doi.org/10.1002/mma.758.^[2]

This is a peer reviewed science journal and is reputable. This source will be used in the applications section.

Bidabad, Behroz, and Ahmad M. Mir. "Harmonic vector fields and the Hodge Laplacian operator on Finsler geometry.", vol. 360, 2022, pp. 1193–1204, doi:10.5802/crmath.287.^[3]

This is peer reviewed and reputable. This source will be used in the applications section.

Brennen, Christopher E. "Incompressible, Inviscid, Irrotational Flow." Internet Book on Fluid Dynamics, 2004, http://www.brennen.caltech.edu/FLUIDBOOK/basicfluiddynamics/potentialflow.htm.^[4]

This is a very good online textbook written by a professor at Cal Tech, Christopher E Brennen. He explains what it means for a vector field to be incompressible and irrotational, and I plan to replace it as the citation for the first sentence.

Choi, Hon F., and Silvia S. Blemker. "Skeletal Muscle Fascicle Arrangements Can Be Reconstructed Using a Laplacian Vector Field Simulation." PLoS ONE, vol. 8, no. 10, 2013, pp. 1–7. EBSCOhost; Academic Search Premier, doi: 10.1371/journal.pone.0077576.^[5]

Reputable and peer reviewed, will be used in medical applications section.

Claycomb, J. L. "Vector Calculus." Mathematical Methods for Physics: Using MATLAB and Maple. Mercury Learning & Information, 2018.^[6]

Great book chapter, explains the properties of a Vector Laplacian in more depth, and I plan to use this source when elaborating on its properties.

Contreras, Ivan, and Andrew Tawfeek. "On Discrete Gradient Vector Fields and Laplacians of Simplicial Complexes." Annals of Combinatorics, vol. 28, no. 1, 2024, pp. 67–91, doi:10.1007/s00026-023-00655-1.^[7]

Peer-reviewed, reputable. Plan to use in applications section.

González-Campos, Daniel, Marco A. Pérez-de la Rosa, and Juan Bory-Reyes. "Generalized Laplacian decomposition of vector fields on fractal surfaces." Journal of Mathematical Analysis and Applications, vol. 499, no. 2, 2021, pp. 125038, doi:10.1016/j.jmaa.2021.125038.^[8]

Peer-reviewed, reputable. Plan to use in applications section (how Laplacian vectors are being used in science).

González-Cervantes, J. O., and Juan Bory-Reyes. "On Bergman spaces induced by a v-Laplacian vector fields theory." Journal of Mathematical Analysis and Applications, vol. 505, no. 2, 2022, pp. 125523, doi:10.1016/j.jmaa.2021.125523.^[9]

Peer-reviewed, reputable. Plan to use in applications section, how Laplacian vecotors are being used in science.

Techet, A. H. "2.016 Hydrodynamics: Potential Flow Theory.", 2005, https://ocw.mit.edu/courses/2-016-hydrodynamics-13-012-fall-2005/resources/2005reading4/.^[10]

Amazing notes, will use in section of application for physics. This source also contains proofs for the vector properties that I plan to cite. This source is reputable because it comes from the materials of a MIT professor.

Edit this section to compile the bibliography for your Wikipedia assignment. Add the name and/or notes about what each source covers, then use the "Cite" button to generate the citation for that source.

Examples:

Luke, Learie. 2007. Identity and secession in the Caribbean: Tobago versus Trinidad, 1889–1980 Kingston, Jamaica: University of the West Indies Press.
- This is a book published by a university press, so it should be a reliable source. It also covers the topic in some depth, so it's helpful in establishing notability.
Galeano, Gloria; Bernal, Rodrigo (2013-11-08). "Sabinaria , a new genus of palms (Cryosophileae, Coryphoideae, Arecaceae) from the Colombia-Panama border". Phytotaxa.
- This is a peer-reviewed scientific journal, so it should be a reliable source. It covers the topic in some depth, so it's helpful in establishing notability.
Baker, William J.; Dransfield, John (2016). "Beyond Genera Palmarum: progress and prospects in palm systematics". Botanical Journal of the Linnean Society.
- This is a peer-reviewed scientific journal, so it should be a reliable source for a specific fact. Since it only dedicates a few sentences to the topic, it can't be used to establish notability.

References

^ Abreu‐Blaya, R.; Bory‐Reyes, J.; Moreno‐García, T.; Peña‐Peña, D. (2008-05-10). "Laplacian decomposition of vector fields on fractal surfaces". Mathematical Methods in the Applied Sciences. 31 (7): 849–857. doi:10.1002/mma.952. ISSN 0170-4214.
^ Abreu‐Blaya, R.; Bory‐Reyes, J.; Shapiro, M. (2006-10). "On the Laplacian vector fields theory in domains with rectifiable boundary". Mathematical Methods in the Applied Sciences. 29 (15): 1861–1881. doi:10.1002/mma.758. ISSN 0170-4214. {{cite journal}}: Check date values in: |date= (help)
^ Bidabad, Behroz; Mirshafeazadeh, Mir Ahmad (2022-12-08). "Harmonic vector fields and the Hodge Laplacian operator on Finsler geometry". Comptes Rendus. Mathématique. 360 (G11): 1193–1204. doi:10.5802/crmath.287. ISSN 1778-3569.
^ Brennen, Christopher E (2004). "Incompressible, Inviscid, Irrotational Flow". Internet Book on Fluid Dynamics. Retrieved November 20, 2024.
^ Choi, Hon Fai; Blemker, Silvia S. (2013-10-25). Sampaolesi, Maurilio (ed.). "Skeletal Muscle Fascicle Arrangements Can Be Reconstructed Using a Laplacian Vector Field Simulation". PLoS ONE. 8 (10): e77576. doi:10.1371/journal.pone.0077576. ISSN 1932-6203. PMC 3808403. PMID 24204878.{{cite journal}}: CS1 maint: PMC format (link) CS1 maint: unflagged free DOI (link)
^ Claycomb, James R. (2018). Mathematical methods for physics: using Maple & MATLAB. Dulles, Virginia Boston, Massachusetts New Delhi: Mercury Learning and Information. ISBN 978-1-68392-098-4.
^ Contreras, Ivan; Tawfeek, Andrew (2024-03). "On Discrete Gradient Vector Fields and Laplacians of Simplicial Complexes". Annals of Combinatorics. 28 (1): 67–91. doi:10.1007/s00026-023-00655-1. ISSN 0218-0006 – via Springer Nature. {{cite journal}}: Check date values in: |date= (help)
^ González-Campos, Daniel; Pérez-de la Rosa, Marco Antonio; Bory-Reyes, Juan (2021-07-15). "Generalized Laplacian decomposition of vector fields on fractal surfaces". Journal of Mathematical Analysis and Applications. 499 (2): 125038. doi:10.1016/j.jmaa.2021.125038 – via Elsevier Science Direct.
^ González-Cervantes, J. Oscar; Bory-Reyes, Juan (2022-01-15). "On Bergman spaces induced by a v-Laplacian vector fields theory". Journal of Mathematical Analysis and Applications. 505 (2): 125523. doi:10.1016/j.jmaa.2021.125523 – via Elsevier Science Direct.
^ Techet, Alexandra (2005). "Hydrodynamics (13.012): 2005reading4". MIT OpenCourseWare. Retrieved November 20, 2024.

Outline of proposed changes

Click on the edit button to draft your outline.

Now that you have compiled a bibliography, it's time to plan out how you'll improve your assigned article.

In this section, write up a concise outline of how the sources you've identified will add relevant information to your chosen article. Be sure to discuss what content gap your additions tackle and how these additions will improve the article's quality.

Consider other changes you'll make to the article, including possible deletions of irrelevant, outdated, or incorrect information, restructuring of the article to improve its readability or any other change you plan on making. This is your chance to really think about how your proposed additions will improve your chosen article and to vet your sources even further.

Note: This is not a draft. This is an outline/plan where you can think about how the sources you've identified will fill in a content gap.

Get Help

[1] Abreu‐Blaya, R.; Bory‐Reyes, J.; Moreno‐García, T.; Peña‐Peña, D. (2008-05-10). "Laplacian decomposition of vector fields on fractal surfaces". Mathematical Methods in the Applied Sciences. 31 (7): 849–857. doi:10.1002/mma.952. ISSN 0170-4214.

[2] Abreu‐Blaya, R.; Bory‐Reyes, J.; Shapiro, M. (2006-10). "On the Laplacian vector fields theory in domains with rectifiable boundary". Mathematical Methods in the Applied Sciences. 29 (15): 1861–1881. doi:10.1002/mma.758. ISSN 0170-4214. {{cite journal}}: Check date values in: |date= (help)

[3] Bidabad, Behroz; Mirshafeazadeh, Mir Ahmad (2022-12-08). "Harmonic vector fields and the Hodge Laplacian operator on Finsler geometry". Comptes Rendus. Mathématique. 360 (G11): 1193–1204. doi:10.5802/crmath.287. ISSN 1778-3569.

[4] Brennen, Christopher E (2004). "Incompressible, Inviscid, Irrotational Flow". Internet Book on Fluid Dynamics. Retrieved November 20, 2024.

[5] Choi, Hon Fai; Blemker, Silvia S. (2013-10-25). Sampaolesi, Maurilio (ed.). "Skeletal Muscle Fascicle Arrangements Can Be Reconstructed Using a Laplacian Vector Field Simulation". PLoS ONE. 8 (10): e77576. doi:10.1371/journal.pone.0077576. ISSN 1932-6203. PMC 3808403. PMID 24204878.{{cite journal}}: CS1 maint: PMC format (link) CS1 maint: unflagged free DOI (link)

[6] Claycomb, James R. (2018). Mathematical methods for physics: using Maple & MATLAB. Dulles, Virginia Boston, Massachusetts New Delhi: Mercury Learning and Information. ISBN 978-1-68392-098-4.

[7] Contreras, Ivan; Tawfeek, Andrew (2024-03). "On Discrete Gradient Vector Fields and Laplacians of Simplicial Complexes". Annals of Combinatorics. 28 (1): 67–91. doi:10.1007/s00026-023-00655-1. ISSN 0218-0006 – via Springer Nature. {{cite journal}}: Check date values in: |date= (help)

[8] González-Campos, Daniel; Pérez-de la Rosa, Marco Antonio; Bory-Reyes, Juan (2021-07-15). "Generalized Laplacian decomposition of vector fields on fractal surfaces". Journal of Mathematical Analysis and Applications. 499 (2): 125038. doi:10.1016/j.jmaa.2021.125038 – via Elsevier Science Direct.

[9] González-Cervantes, J. Oscar; Bory-Reyes, Juan (2022-01-15). "On Bergman spaces induced by a v-Laplacian vector fields theory". Journal of Mathematical Analysis and Applications. 505 (2): 125523. doi:10.1016/j.jmaa.2021.125523 – via Elsevier Science Direct.

[10] Techet, Alexandra (2005). "Hydrodynamics (13.012): 2005reading4". MIT OpenCourseWare. Retrieved November 20, 2024.

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