New Rosenbrock W-Methods of Order 3 for Partial Differential Algebraic Equations of Index 1期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

New Rosenbrock W-Methods of Order 3 for Partial Differential Algebraic Equations of Index 1

Authors:	J.?Rang author-information" > author-information__contact u-icon-before" > mailto:major@math.tu-clausthal.de" title=" major@math.tu-clausthal.de" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,L.?Angermann

Affiliation:	(1) Department of Mathematics, TU Clausthal, Erzstr. 1, D-38678 Clausthal–Zellerfeld, Germany;(2) Department of Mathematics, TU Clausthal, Erzstr. 1, D-38678 Clausthal–Zellerfeld, Germany

Abstract:	In this note new Rosenbrock methods for ODEs, DAEs, PDEs and PDAEs of index 1 are presented. These solvers are of order 3, have 3 or 4 internal stages, and fulfil certain order conditions to obtain a better convergence if inexact Jacobians and approximations of $frac{partial f}{partial t}$ are used. A comparison with other Rosenbrock solvers shows the advantages of the new methods. AMS subject classification (2000) 34A09, 65L80

Keywords:	nonlinear parabolic equations Rosenbrock methods order reduction
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