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Article

Keywords:
spectral methods; singular perturbation; stabilization; domain decomposition; iterative solver; multigrid method
Summary:
We study spectral discretizations for singular perturbation problems. A special technique of stabilization for the spectral method is proposed. Boundary layer problems are accurately solved by a domain decomposition method. An effective iterative method for the solution of spectral systems is proposed. Suitable components for a multigrid method are presented.
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