BiCGStab, VPAStab and an adaptation to mildly nonlinear systems.

dc.contributor.author	Graves-Morris, Peter R.	*
dc.date.accessioned	2009-10-06T12:53:25Z
dc.date.available	2009-10-06T12:53:25Z
dc.date.issued	2007
dc.identifier.citation	Graves-Morris, P.R. (2007). BiCGStab, VPAStab and an adaptation to mildly nonlinear systems. Journal of Computational and Applied Mathematics. Vol. 201, No. 1, pp. 284-299.
dc.identifier.uri	http://hdl.handle.net/10454/3622
dc.description	No
dc.description.abstract	The key equations of BiCGStab are summarised to show its connections with Pade and vector-Pade approximation. These considerations lead naturally to stabilised vector-Pade approximation of a vector-valued function (VPAStab), and an algorithm for the acceleration of convergence of a linearly generated sequence of vectors. A generalisation of this algorithm for the acceleration of convergence of a nonlinearly generated system is proposed here, and comparative numerical results are given.
dc.language.iso	en	en
dc.subject	BiCGStab
dc.subject	Bratu equation
dc.subject	Burghers' equation
dc.subject	Nonlinear system
dc.subject	Vector-Padé approximation
dc.title	BiCGStab, VPAStab and an adaptation to mildly nonlinear systems.
dc.status.refereed	Yes
dc.type	Article
dc.type.version	No full-text in the repository
dc.identifier.doi	https://doi.org/10.1016/j.cam.2006.02.022
dc.openaccess.status	closedAccess