@inbook{2532c18a8f91460da21fe1732a177ae4,

title = "The maximum principle for Beltrami color flow",

abstract = "We study, in this work, the maximum principle for the Beltrami color flow and the stability of the flow's numerical approximation by finite difference schemes. We discuss, in the continuous case, the theoretical properties of this system and prove the maximum principle in the strong and the weak formulations. In the discrete case, all the second order explicit schemes, that are currently used, violate, in general, the maximum principle. For these schemes we give a theoretical stability proof, accompanied by several numerical examples.",

keywords = "Beltrami Framework, Finite difference schemes, Maximum Principle, Parabolic PDE's",

author = "Lorina Dascal and Nir Sochen",

year = "2003",

doi = "10.1007/3-540-44935-3_14",

language = "אנגלית",

isbn = "354040368X",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "196--208",

editor = "Griffin, {Lewis D.} and Martin Lillholm",

booktitle = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

}