Convergence Analysis of Spatially Adaptive Rothe Methods

This paper is concerned with the convergence analysis of the horizontal method of lines for evolution equations of the parabolic type. Following a semidiscretization in time by S -stage one-step methods, the resulting elliptic stage equations per time step are solved with adaptive space discretizati...

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Veröffentlicht in:	Foundations of computational mathematics 2014-10, Vol.14 (5), p.863-912
Hauptverfasser:	Cioica, Petru A., Dahlke, Stephan, Döhring, Nicolas, Friedrich, Ulrich, Kinzel, Stefan, Lindner, Felix, Raasch, Thorsten, Ritter, Klaus, Schilling, René L.
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Applications of Mathematics Approximation Asymptotic properties Computer Science Convergence Convergence (Mathematics) Discretization Economics Linear and Multilinear Algebras Math Applications in Computer Science Mathematical analysis Mathematical models Mathematics Mathematics and Statistics Matrix Theory Numerical Analysis Original Paper Preserves Tolerances
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