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Finite-Analytic Cubature Based Numerical Method for Reservoir Simulation
ECMOR III - 3rd European Conference on the Mathematics of Oil Recovery, 1992This paper presents the application of the method of integro-differential cubature for efficient solution of reservoir models. The application of this method is illustrated by solving the Buckley-Leverett model for water flooding of naturally fractured oil reservoirs.
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Multidimensional Euler Summation Formulas and Numerical Cubature
1982The purpose of the present paper is the study of formulas and methods for numerical computation of multidimensional integrals. The entire discussion is based on multidimensional generalizations of Euler summation formula. Cubature formulas are considered, estimates of the truncation error are given. The theory of Green’s (lattice) functions to elliptic
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Numerical integration in the virtual element method with the scaled boundary cubature scheme
International Journal for Numerical Methods in EngineeringAbstractThe virtual element method (VEM) is a stabilized Galerkin method on meshes that consist of arbitrary (convex and nonconvex) polygonal and polyhedral elements. A crucial ingredient in the implementation of low‐ and high‐order VEM is the numerical integration of monomials and nonpolynomial functions over such elements.
Eric B. Chin +3 more
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Numerical Quadrature and Cubature.
Mathematics of Computation, 1982Philip Rabinowitz, H. Engels
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A numerical code for fast interpolation and cubature at the Padua points
2009We present a numerical code in Matlab/Octave that implements fast version of the Lagrange interpolation formula, and of the corresponding algebraic cubature formula, at the so-called Padua points in ...
CALIARI, MARCO +3 more
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Averaged cubature schemes on the real positive semiaxis
Numerical Algorithms, 2022Dusan Lj Djukic +2 more
exaly
Monte Carlo cubature construction
Japan Journal of Industrial and Applied Mathematics, 2020Satoshi Hayakawa
exaly

