Parallel interval Newton-like Schwarz methods for almost linear parabolic problems

Authors:
Hartmut Schwandt
Affiliations:
Technische Universität Berlin, Fakultät II, Institut für Mathematik, Berlin, Germany
Venue:
Journal of Computational and Applied Mathematics - Special issue: Scientific computing, computer arithmetic, and validated numerics (SCAN 2004)
Year:
2007

Citing 2
Cited 0

A Unified Representation and Theory of Algebraic Additive Schwarz and Multisplitting Methods

SIAM Journal on Matrix Analysis and Applications
Iterative solution of nonlinear equations in several variables

Iterative solution of nonlinear equations in several variables

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Abstract

We introduce parallel interval Newton-Schwarz-like methods for nonlinear systems of equations arising from discretizations of almost linear parabolic problems. By applying interval techniques, we get global convergence properties and verified enclosures. Parallelism is introduced by domain decomposition. Numerical results from a SGI Altix 3700 are included.