Introduction To Approximation Theory

By J. Junker. 2016

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A smoothed inverse eigenstrain method for reconstruction of the regularized residual fields (2014, unknown): “It can be shown that this partial sum in the least squares sense will always converge to the function under the conditions of linear independency of the shape functions (Cheney, 1982) that is already satisﬁed here.”
Quantum Algorithm for Systems of Linear Equations with Exponentially Improved Dependence on Precision (2015, methodology): “…of decomposing a function as an approximate linear combination of other functions, such as polynomials or trigonometric polynomials, is well studied in the ﬁeld of approximation theory [ Che82, SV13], and techniques from that literature might be applied in future applications of our techniques.”