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Optimal superconvergent one step quadratic spline collocation methods

โœ Scribed by B. Bialecki; G. Fairweather; A. Karageorghis; Q.N. Nguyen

Publisher
Springer Netherlands
Year
2008
Tongue
English
Weight
582 KB
Volume
48
Category
Article
ISSN
0006-3835

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Compact optimal quadratic spline colloca
Compact optimal quadratic spline collocation methods for the Helmholtz equation
โœ Graeme Fairweather; Andreas Karageorghis; Jon Maack ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 307 KB

Quadratic spline collocation methods are formulated for the numerical solution of the Helmholtz equation in the unit square subject to non-homogeneous Dirichlet, Neumann and mixed boundary conditions, and also periodic boundary conditions. The methods are constructed so that they are: (a) of optimal