A mixed Lagrange–Bernoulli tensor product expansion on the rectangle with applications

F.A. Costabile, F. Di Tommaso and E. Longo

Mathematics and Computers in Simulation (MATCOM), 2018, vol. 147, issue C, 73-89

Abstract: A mixed Lagrange–Bernoulli tensor product polynomial operator for bivariate functions of class (m,n) with only boundary data on the rectangle is presented. Properties of interpolation and error bounds are studied. Application to functions approximation, solution of Poisson equations with Dirichelet’s conditions and numerical cubature are proposed. Numerical results are also given.

Keywords: Bivariate function approximation; Lagrange polynomial expansion; Bernoulli polynomial expansion; Poisson boundary value problems; Numerical cubature (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:147:y:2018:i:c:p:73-89

DOI: 10.1016/j.matcom.2017.06.006

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