Browsing by Subject "Superconvergence"
Now showing items 1-4 of 4
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Article
Compact optimal quadratic spline collocation methods for the Helmholtz equation
(2011)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 ...
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Article
Matrix decomposition algorithms for modified spline collocation for Helmholtz problems
(2003)We consider the solution of various boundary value problems for the Helmholtz equation in the unit square using a nodal cubic spline collocation method and modifications of it which produce optimal (fourth-) order ...
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Article
Optimal superconvergent one step nodal cubic spline collocation methods
(2006)We formulate new optimal (fourth) order one step nodal cubic spline collocation methods for the solution of various elliptic boundary value problems in the unit square. These methods are constructed so that the respective ...
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Article
Optimal superconvergent one step quadratic spline collocation methods
(2008)We formulate new optimal quadratic spline collocation methods for the solution of various elliptic boundary value problems in the unit square. These methods are constructed so that the collocation equations can be solved ...