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Five lectures on the Algorithmic Aspects of Approximation
Interior twolevel cycles
Nonlinear MultiGrid Iteration
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algebraic analytic functions Approximation Theory axioms Banach space best approximation Boolean boundary value problems bounded Chebyshev center compact consider construction convergence convex Corollary defined definition denote diagram equation equivalent error estimates example exists finite element method functor Galerkin Galerkin method given hence Hilbert space implies inequality inf sup integral interpolation intrinsic error isomorphism Lemma linear functions linear operator linear optimal algorithm logic Math Mathematics matrix maximum norm Melkman Micchelli minimal monosplines morphism Note Numerical obtain optimal recovery optimal sampling points piecewise linear polygonal domain polynomial pretopos proof of Theorem prove proximity maps quantifier quantifier elimination real closed field result Rivlin satisfies smooth Sobolev spaces solution spline stochastic subset subspace Suppose Theorem 3.1 topology triangle u-uh ultraproducts unbounded unique variables zero