Abstract
We present a novel global algorithm for parallel computers, suitable to solve nonlinear boundary value problems depending on one parameter. The existing scanning and solution following algorithms are extended by a gradient method which is performed on an artificial potential created from the equation system. All three components of the algorithm can be parallelized and thus used in a GRID network. We validate our algorithms on a few small examples.
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© 2008 Springer-Verlag Berlin Heidelberg
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Pasztuhov, D., Török, J. (2008). A Gradient Hybrid Parallel Algorithm to One-Parameter Nonlinear Boundary Value Problems. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2007. Lecture Notes in Computer Science, vol 4818. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78827-0_57
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DOI: https://doi.org/10.1007/978-3-540-78827-0_57
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-78825-6
Online ISBN: 978-3-540-78827-0
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