On the convergence of the backward Euler algorithm for the multidimensional heat equation
Ion Aurel Cristescu
Applicationes Mathematicae, Tome 41 (2014), p. 351-360 / Harvested from The Polish Digital Mathematics Library
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The backward Euler algorithm for the multidimensional nonhomogeneous heat equation is analyzed, based on the finite element method. The existence and uniqueness of the numerical solution is investigated. Also, the convergence of the numerical solutions is studied.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:279898 
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     author = {Ion Aurel Cristescu},
     title = {On the convergence of the backward Euler algorithm for the multidimensional heat equation},
     journal = {Applicationes Mathematicae},
     volume = {41},
     year = {2014},
     pages = {351-360},
     zbl = {1327.35127},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am41-4-6}
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Ion Aurel Cristescu. On the convergence of the backward Euler algorithm for the multidimensional heat equation. Applicationes Mathematicae, Tome 41 (2014) pp. 351-360. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am41-4-6/