Geodesic
Convergence of Rothe's method in Hölder spaces
Applications of Mathematics, Tome 48 (2003) no. 5, pp. 353-365.

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The convergence of Rothe’s method in Hölder spaces is discussed. The obtained results are based on uniform boundedness of Rothe’s approximate solutions in Hölder spaces recently achieved by the first author. The convergence and its rate are derived inside a parabolic cylinder assuming an additional compatibility conditions.
DOI : 10.1023/B:APOM.0000024481.01947.da
Classification : 35B50, 35K20, 46E35, 65M12, 65M20, 65M40
Keywords: Rothe’s method; method of lines; convergence of Rothe’s method 
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     title = {Convergence of {Rothe's} method in {H\"older} spaces},
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Kikuchi, N.; Kačur, J. Convergence of Rothe's method in Hölder spaces. Applications of Mathematics, Tome 48 (2003) no. 5, pp. 353-365. doi : 10.1023/B:APOM.0000024481.01947.da. http://geodesic.mathdoc.fr/articles/10.1023/B:APOM.0000024481.01947.da/

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