Finite-difference preconditioners for superconsistent pseudospectral approximations
Lorella Fatone, Daniele Funaro, Valentina Scannavini (2007)
ESAIM: Mathematical Modelling and Numerical Analysis
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The superconsistent collocation method, which is based on a collocation grid different from the one used to represent the solution, has proven to be very accurate in the resolution of various functional equations. Excellent results can be also obtained for what concerns preconditioning. Some analysis and numerous experiments, regarding the use of finite-differences preconditioners, for matrices arising from pseudospectral approximations of advection-diffusion boundary value problems,...