Eikonal equation (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Eikonal equation" in English language version.

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14doi.org

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10harvard.edu

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6nih.gov

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4semanticscholar.org

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3arxiv.org

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3handle.net

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1oed.com

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1emis.de

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1jstor.org

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arxiv.org

Clawson, Z.; Chacon, A.; Vladimirsky, A. (2014). "Causal Domain Restriction for Eikonal Equations". SIAM Journal on Scientific Computing. 36 (5): A2478–A2505. arXiv:1309.2884. Bibcode:2014SJSC...36A2478C. doi:10.1137/130936531. S2CID 17226196.
Chacon, A.; Vladimirsky, A. (2012). "Fast two-scale methods for eikonal equations". SIAM Journal on Scientific Computing. 34 (2): A547–A578. arXiv:1110.6220. Bibcode:2012SJSC...34A.547C. doi:10.1137/10080909X. S2CID 6404391.
Chacon, A.; Vladimirsky, A. (2015). "A parallel two-scale method for Eikonal equations". SIAM Journal on Scientific Computing. 37 (1): A156–A180. arXiv:1306.4743. Bibcode:2015SJSC...37A.156C. doi:10.1137/12088197X.

doi.org

Clawson, Z.; Chacon, A.; Vladimirsky, A. (2014). "Causal Domain Restriction for Eikonal Equations". SIAM Journal on Scientific Computing. 36 (5): A2478–A2505. arXiv:1309.2884. Bibcode:2014SJSC...36A2478C. doi:10.1137/130936531. S2CID 17226196.
Chacon, A.; Vladimirsky, A. (2012). "Fast two-scale methods for eikonal equations". SIAM Journal on Scientific Computing. 34 (2): A547–A578. arXiv:1110.6220. Bibcode:2012SJSC...34A.547C. doi:10.1137/10080909X. S2CID 6404391.
Kimmel, R.; Sethian, J. A. (1998). "Computing Geodesic Paths on Manifolds". Proceedings of the National Academy of Sciences. 95 (15): 8431–8435. Bibcode:1998PNAS...95.8431K. doi:10.1073/pnas.95.15.8431. PMC 21092. PMID 9671694.
Bronstein, A. M.; Bronstein, M. M.; Kimmel, R. (2007). "Weighted distance maps computation on parametric three-dimensional manifolds". Journal of Computational Physics. 225 (1): 771–784. Bibcode:2007JCoPh.225..771B. doi:10.1016/j.jcp.2007.01.009.
Sethian, J. A.; Vladimirsky, A. (2000). "Fast methods for the Eikonal and related Hamilton–Jacobi equations on unstructured meshes". Proc. Natl. Acad. Sci. USA. 97 (11): 5699–5703. Bibcode:2000PNAS...97.5699S. doi:10.1073/pnas.090060097. PMC 18495. PMID 10811874.
Yershov, D. S.; LaValle, S. M. (2012). "Simplicial Dijkstra and A* Algorithms: From Graphs to Continuous Spaces". Advanced Robotics. 26 (17): 2065–2085. doi:10.1080/01691864.2012.729559. S2CID 17573584.
Sethian, J. A. (1996). "A Fast Marching Level Set Method for Monotonically Advancing Fronts". Proc. Natl. Acad. Sci. 93 (4): 1591–1595. Bibcode:1996PNAS...93.1591S. doi:10.1073/pnas.93.4.1591. PMC 39986. PMID 11607632.
Tsitsiklis, J. N. (1995). "Efficient algorithms for globally optimal trajectories". IEEE Trans. Autom. Control. 40 (9): 1528–1538. doi:10.1109/9.412624. hdl:1721.1/3340.
Bertsekas, D. P. (1993). "A Simple and Fast Label Correcting Algorithm for Shortest Paths". Networks. 23 (8): 703–709. doi:10.1002/net.3230230808. hdl:1721.1/3256.
Bertsekas, D. P.; Guerriero, F.; Musmanno, R. (1996). "Parallel Asynchronous Label Correcting Methods for Shortest Paths". Journal of Optimization Theory and Applications. 88 (2): 297–320. doi:10.1007/BF02192173. hdl:1721.1/3390. S2CID 13172492.
Bak, S.; McLaughlin, J.; Renzi, D. (2010). "Some improvements for the fast sweeping method". SIAM Journal on Scientific Computing. 32 (5): 2853–2874. Bibcode:2010SJSC...32.2853B. doi:10.1137/090749645.
Zhao, H. (2004). "A fast sweeping method for eikonal equations". Math. Comp. 74 (250): 603–627. doi:10.1090/S0025-5718-04-01678-3.
Detrixhe, M.; Gibou, F.; Min, C. (2013). "A parallel fast sweeping method for the Eikonal equation". Journal of Computational Physics. 237: 46–55. Bibcode:2013JCoPh.237...46D. doi:10.1016/j.jcp.2012.11.042.
Chacon, A.; Vladimirsky, A. (2015). "A parallel two-scale method for Eikonal equations". SIAM Journal on Scientific Computing. 37 (1): A156–A180. arXiv:1306.4743. Bibcode:2015SJSC...37A.156C. doi:10.1137/12088197X.

emis.de

Hamilton, William Rowan (1828). "Theory of Systems of Rays". Transactions of the Royal Irish Academy. 15: 69–174.

handle.net

hdl.handle.net

Tsitsiklis, J. N. (1995). "Efficient algorithms for globally optimal trajectories". IEEE Trans. Autom. Control. 40 (9): 1528–1538. doi:10.1109/9.412624. hdl:1721.1/3340.
Bertsekas, D. P. (1993). "A Simple and Fast Label Correcting Algorithm for Shortest Paths". Networks. 23 (8): 703–709. doi:10.1002/net.3230230808. hdl:1721.1/3256.
Bertsekas, D. P.; Guerriero, F.; Musmanno, R. (1996). "Parallel Asynchronous Label Correcting Methods for Shortest Paths". Journal of Optimization Theory and Applications. 88 (2): 297–320. doi:10.1007/BF02192173. hdl:1721.1/3390. S2CID 13172492.

harvard.edu

ui.adsabs.harvard.edu

Rauch, Jeffrey (2012), Hyperbolic partial differential equations and geometric optics, Graduate Studies in Mathematics, 133, American Mathematical Society, Bibcode:2012hpde.book.....R, ISBN 978-0-8218-7291-8
Clawson, Z.; Chacon, A.; Vladimirsky, A. (2014). "Causal Domain Restriction for Eikonal Equations". SIAM Journal on Scientific Computing. 36 (5): A2478–A2505. arXiv:1309.2884. Bibcode:2014SJSC...36A2478C. doi:10.1137/130936531. S2CID 17226196.
Chacon, A.; Vladimirsky, A. (2012). "Fast two-scale methods for eikonal equations". SIAM Journal on Scientific Computing. 34 (2): A547–A578. arXiv:1110.6220. Bibcode:2012SJSC...34A.547C. doi:10.1137/10080909X. S2CID 6404391.
Kimmel, R.; Sethian, J. A. (1998). "Computing Geodesic Paths on Manifolds". Proceedings of the National Academy of Sciences. 95 (15): 8431–8435. Bibcode:1998PNAS...95.8431K. doi:10.1073/pnas.95.15.8431. PMC 21092. PMID 9671694.
Bronstein, A. M.; Bronstein, M. M.; Kimmel, R. (2007). "Weighted distance maps computation on parametric three-dimensional manifolds". Journal of Computational Physics. 225 (1): 771–784. Bibcode:2007JCoPh.225..771B. doi:10.1016/j.jcp.2007.01.009.
Sethian, J. A.; Vladimirsky, A. (2000). "Fast methods for the Eikonal and related Hamilton–Jacobi equations on unstructured meshes". Proc. Natl. Acad. Sci. USA. 97 (11): 5699–5703. Bibcode:2000PNAS...97.5699S. doi:10.1073/pnas.090060097. PMC 18495. PMID 10811874.
Sethian, J. A. (1996). "A Fast Marching Level Set Method for Monotonically Advancing Fronts". Proc. Natl. Acad. Sci. 93 (4): 1591–1595. Bibcode:1996PNAS...93.1591S. doi:10.1073/pnas.93.4.1591. PMC 39986. PMID 11607632.
Bak, S.; McLaughlin, J.; Renzi, D. (2010). "Some improvements for the fast sweeping method". SIAM Journal on Scientific Computing. 32 (5): 2853–2874. Bibcode:2010SJSC...32.2853B. doi:10.1137/090749645.
Detrixhe, M.; Gibou, F.; Min, C. (2013). "A parallel fast sweeping method for the Eikonal equation". Journal of Computational Physics. 237: 46–55. Bibcode:2013JCoPh.237...46D. doi:10.1016/j.jcp.2012.11.042.
Chacon, A.; Vladimirsky, A. (2015). "A parallel two-scale method for Eikonal equations". SIAM Journal on Scientific Computing. 37 (1): A156–A180. arXiv:1306.4743. Bibcode:2015SJSC...37A.156C. doi:10.1137/12088197X.

jstor.org

Zhao, H. (2007). "Parallel Implementations of the Fast Sweeping Method". J. Comput. Math. 25 (4): 421–429. JSTOR 43693378.

nih.gov

ncbi.nlm.nih.gov

Kimmel, R.; Sethian, J. A. (1998). "Computing Geodesic Paths on Manifolds". Proceedings of the National Academy of Sciences. 95 (15): 8431–8435. Bibcode:1998PNAS...95.8431K. doi:10.1073/pnas.95.15.8431. PMC 21092. PMID 9671694.
Sethian, J. A.; Vladimirsky, A. (2000). "Fast methods for the Eikonal and related Hamilton–Jacobi equations on unstructured meshes". Proc. Natl. Acad. Sci. USA. 97 (11): 5699–5703. Bibcode:2000PNAS...97.5699S. doi:10.1073/pnas.090060097. PMC 18495. PMID 10811874.
Sethian, J. A. (1996). "A Fast Marching Level Set Method for Monotonically Advancing Fronts". Proc. Natl. Acad. Sci. 93 (4): 1591–1595. Bibcode:1996PNAS...93.1591S. doi:10.1073/pnas.93.4.1591. PMC 39986. PMID 11607632.

pubmed.ncbi.nlm.nih.gov

Kimmel, R.; Sethian, J. A. (1998). "Computing Geodesic Paths on Manifolds". Proceedings of the National Academy of Sciences. 95 (15): 8431–8435. Bibcode:1998PNAS...95.8431K. doi:10.1073/pnas.95.15.8431. PMC 21092. PMID 9671694.
Sethian, J. A.; Vladimirsky, A. (2000). "Fast methods for the Eikonal and related Hamilton–Jacobi equations on unstructured meshes". Proc. Natl. Acad. Sci. USA. 97 (11): 5699–5703. Bibcode:2000PNAS...97.5699S. doi:10.1073/pnas.090060097. PMC 18495. PMID 10811874.
Sethian, J. A. (1996). "A Fast Marching Level Set Method for Monotonically Advancing Fronts". Proc. Natl. Acad. Sci. 93 (4): 1591–1595. Bibcode:1996PNAS...93.1591S. doi:10.1073/pnas.93.4.1591. PMC 39986. PMID 11607632.

oed.com

dictionary.oed.com

The Oxford English Dictionary. 2nd ed. 1989. OED Online. Oxford University Press. 4 April 2000 http://dictionary.oed.com/cgi/entry/00292404

semanticscholar.org

api.semanticscholar.org

Clawson, Z.; Chacon, A.; Vladimirsky, A. (2014). "Causal Domain Restriction for Eikonal Equations". SIAM Journal on Scientific Computing. 36 (5): A2478–A2505. arXiv:1309.2884. Bibcode:2014SJSC...36A2478C. doi:10.1137/130936531. S2CID 17226196.
Chacon, A.; Vladimirsky, A. (2012). "Fast two-scale methods for eikonal equations". SIAM Journal on Scientific Computing. 34 (2): A547–A578. arXiv:1110.6220. Bibcode:2012SJSC...34A.547C. doi:10.1137/10080909X. S2CID 6404391.
Yershov, D. S.; LaValle, S. M. (2012). "Simplicial Dijkstra and A* Algorithms: From Graphs to Continuous Spaces". Advanced Robotics. 26 (17): 2065–2085. doi:10.1080/01691864.2012.729559. S2CID 17573584.
Bertsekas, D. P.; Guerriero, F.; Musmanno, R. (1996). "Parallel Asynchronous Label Correcting Methods for Shortest Paths". Journal of Optimization Theory and Applications. 88 (2): 297–320. doi:10.1007/BF02192173. hdl:1721.1/3390. S2CID 13172492.