Finite volume schemes for the approximation via characteristics of linear convection equations with irregular data
Author:
Publisher
Springer Science and Business Media LLC
Subject
Mathematics (miscellaneous)
Link
http://link.springer.com/content/pdf/10.1007/s00028-011-0106-2.pdf
Reference14 articles.
1. Abia L.M., Angulo O., López-Marcos J.C.: Size-structured population dynamics models and their numerical solutions. Discrete Contin. Dyn. Syst. Ser. B 4(4), 1203–1222 (2004)
2. Ackleh A.S., Ito K.: An implicit finite difference scheme for the nonlinear size-structured population model. Numer. Funct. Anal. Optim., 18(9–10), 865–884 (1997)
3. Ambrosio L.: Transport equation and Cauchy problem for BV vector fields. Invent. Math. 158(2), 227–260 (2004)
4. L. Ambrosio, G. Crippa, C. De Lellis, F. Otto, and M. Westdickenberg. Transport equations and multi-D hyperbolic conservation laws, volume 5 of Lecture Notes of the Unione Matematica Italiana. Springer-Verlag, Berlin, 2008. Lecture notes from the Winter School held in Bologna, January 2005, Edited by Fabio Ancona, Stefano Bianchini, Rinaldo M. Colombo, De Lellis, Andrea Marson and Annamaria Montanari.
5. L. Ambrosio, A. Figalli, G. Friesecke, T. Paul, and J. Giannoulis. Semiclassical limit of quantum dynamics with rough potentials and well posedness of transport equations with measure initial data. 2010.
Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. On the discrete Sobolev inequalities;Journal of Numerical Mathematics;2023-09-05
2. Discrete Gagliardo–Nirenberg inequality and application to the finite volume approximation of a convection–diffusion equation with a Joule effect term;IMA Journal of Numerical Analysis;2023-08-30
3. A directional Lipschitz extension lemma, with applications to uniqueness and Lagrangianity for the continuity equation;Communications in Partial Differential Equations;2021-03-01
4. A Note on the Sobolev and Gagliardo--Nirenberg Inequality when >;Advanced Nonlinear Studies;2020-04-15
5. On the $$L^2$$ Stability of Finite Volumes for Stationary First Order Systems;Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples;2020
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3