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Zeitschrift für Analysis und ihre Anwendungen


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Volume 6, Issue 6, 1987, pp. 559–574
DOI: 10.4171/ZAA/272

Published online: 1987-12-31

The Convergence of Rothe’s Method for Parabolic Differential Equations

Rainer Schumann[1]

(1) Leipzig, Germany

The convergence of Rothe’s method for quasilinear parabolic differential equations is proved under typical assumptions which guarantee existence. The investigations are based on appropriate approximation schemes for evolution tripels and on the observation that Rothe’s method satisfies the requirements of stability and consistency.

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Schumann Rainer: The Convergence of Rothe’s Method for Parabolic Differential Equations. Z. Anal. Anwend. 6 (1987), 559-574. doi: 10.4171/ZAA/272