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Adaptive Piecewise Poly-Sinc Methods for Ordinary Differential Equations

Adaptive Piecewise Poly-Sinc Methods for Ordinary Differential Equations

We propose a new method of adaptive piecewise approximation based on Sinc points for ordinary differential equations. The adaptive method is a piecewise collocation method which utilizes Poly-Sinc interpolation to reach a preset level of accuracy for the approximation. Our work extends the adaptive piecewise Poly-Sinc method to function approximation, …