On additive scharz preconditioners for sparse grid discretizations.
P. Oswald, M. Griebel (1993/94)
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P. Oswald, M. Griebel (1993/94)
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W. Narkiewicz (1974)
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Jean-Claude Ndogmo, Fazal Mahomed (2014)
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An expression for the coefficients of a linear iterative equation in terms of the parameters of the source equation is given both for equations in standard form and for equations in reduced normal form. The operator that generates an iterative equation of a general order in reduced normal form is also obtained and some other properties of iterative equations are established. An expression for the parameters of the source equation of the transformed equation under equivalence transformations...
I. Kátai (1977)
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Acta Mathematica et Informatica Universitatis Ostraviensis
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ESAIM: Mathematical Modelling and Numerical Analysis
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We consider high order finite difference approximations to the Helmholtz equation in an exterior domain. We include a simplified absorbing boundary condition to approximate the Sommerfeld radiation condition. This yields a large, but sparse, complex system, which is not self-adjoint and not positive definite. We discretize the equation with a compact fourth or sixth order accurate scheme. We solve this large system of linear equations with a Krylov subspace iterative method. Since the...