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Convergence of Rothe's Method in Hölder Spaces |
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| Authors: | N Kikuchi J Ka?ur |
| Institution: | (1) Dept. of Mathematics, Faculty of Sciences and Technology, Keio University, Yokohama, 223-8522, Japan;(2) Dept. of Numerical Analysis, Faculty of Mathematics, Physics and Informatics, Comenius University, 842 48 Bratislava, Slovakia |
| Abstract: | 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. |
| Keywords: | Rothe's method method of lines convergence of Rothe's method |
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