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math.NA2019
High degree quadrature rules with pseudorandom rational nodes
Mário M. Graça
After introducing the definitions of positive, negative and companion rules, from a given pair of companion rules we construct a new rule with higher degree of precision The scheme…
math.NA2019
Four beautiful quadrature rules
Mário M. Graça
A framework is presented to compute approximations of an integral from a pair of companion rules and its associate rule. We show that an assoc…