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Mathematics > Analysis of PDEs

arXiv:1808.01522 (math)
[Submitted on 4 Aug 2018 (v1), last revised 22 Nov 2018 (this version, v6)]

Title:Characteristic-Sweeping for Quick Solution Generation and Shock Prediction of 1D Scalar Conservation Law

Authors:Gaojin He
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Abstract:This paper is to discuss a new method to quickly solve scalar $u_t+(G(u))_x=0$ numerically.
Comments: 43 pages, 11 figures (Previous 52pages, format has been changed and some other content may be added in the future)
Subjects: Analysis of PDEs (math.AP)
MSC classes: 35F25
Cite as: arXiv:1808.01522 [math.AP]
  (or arXiv:1808.01522v6 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1808.01522

Submission history

From: Gaojin He [view email]
[v1] Sat, 4 Aug 2018 19:27:31 UTC (782 KB)
[v2] Tue, 7 Aug 2018 01:05:02 UTC (782 KB)
[v3] Sun, 30 Sep 2018 17:15:04 UTC (782 KB)
[v4] Mon, 15 Oct 2018 16:24:14 UTC (782 KB)
[v5] Thu, 8 Nov 2018 02:21:50 UTC (782 KB)
[v6] Thu, 22 Nov 2018 20:03:55 UTC (782 KB)
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