Trapezoidal Cubature Formulae and Poisson’s Equation
نویسنده
چکیده
The idea of extending univariate quadrature formulae to cubature formulae that hold for spaces of polyharmonic functions is employed to obtain in a new way bivariate trapezoidal cubature rules. The notion of univariate monospline is extended to functions of two variables in terms of a solution of Poisson’s equation. This approach allows us to characterize the error of the trapezoidal cubature formulae. A Hermitian type cubature is also investigated.
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