Polynomial series versus sinc expansions for functions with corner or endpoint singularities
Journal of Computational Physics
Journal of Scientific Computing
Applied Mathematics and Computation
Spectral methods in MatLab
Numerical computing with IEEE floating point arithmetic
Numerical computing with IEEE floating point arithmetic
Accuracy and Stability of Numerical Algorithms
Accuracy and Stability of Numerical Algorithms
Computing Zeros on a Real Interval through Chebyshev Expansion and Polynomial Rootfinding
SIAM Journal on Numerical Analysis
An Extension of MATLAB to Continuous Functions and Operators
SIAM Journal on Scientific Computing
New Quadrature Formulas from Conformal Maps
SIAM Journal on Numerical Analysis
Handbook of Sinc Numerical Methods
Handbook of Sinc Numerical Methods
Approximation Theory and Approximation Practice (Other Titles in Applied Mathematics)
Approximation Theory and Approximation Practice (Other Titles in Applied Mathematics)
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Chebfun is an established software system for computing with functions of a real variable, but its capabilities for handling functions with singularities are limited. Here an analogous system is described based on sinc function expansions instead of Chebyshev series. This experiment sheds light on the strengths and weaknesses of sinc function techniques. It also serves as a review of some of the main features of sinc methods, including construction, evaluation, zerofinding, optimization, integration, and differentiation.