Nonlinear quadrature formulae can be constructed for function families closed under scaling and affine transformations, achieving the same accuracy as Newton-Cotes rules with explicit error bounds.
Wuytack, Numerical integraton by using nonlinear techniques, J
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Towards non-linear quadrature formulae
Nonlinear quadrature formulae can be constructed for function families closed under scaling and affine transformations, achieving the same accuracy as Newton-Cotes rules with explicit error bounds.