On Product Integration With Gauss-Kronrod Nodes
, 1998 . Gauss-Kronrod product quadrature formulas for the numerical approximation of R 1 \Gamma1 k(x)f(x)dx are shown to converge for every Riemann integrable f , and to possess optimal stability. Similar results are proved for the product formulas based on
Sven Ehrich
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NUMERICAL INTEGRATION ON GRAPHS: WHERE TO SAMPLE AND HOW TO WEIGH. [PDF]
Math Comput, 2020 Linderman GC, Steinerberger S.
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Constructing embedded lattice rules for multivariate integration
, 2006 . Lattice rules are a family of equal-weight cubature formulas for approximating highdimensional integrals. By now it is well established that good generating vectors for lattice rules having n points can be constructed component-by-component for ...
Ronald Cools +2 more
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, 2008 . We show that, given a histogram with n bins—possibly non-contiguous or consisting of single points—there exists a unique polynomial histopolant (polynomial of order n with bin averages equal to the histogram’s).
N. Robidoux
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On some quadrature rules with Laplace end corrections
Open Mathematics, 2012 Bożek Bogusław +2 more
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Circulant embedding with QMC: analysis for elliptic PDE with lognormal coefficients. [PDF]
Numer Math (Heidelb), 2018 Graham IG +4 more
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Approximation methods for piecewise deterministic Markov processes and their costs. [PDF]
Scand Actuar J, 2019 Kritzer P +3 more
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Application of randomized quadrature formulas to the finite element method for elliptic equations. [PDF]
BIT Numer MathKruse R, Polydorides N, Wu Y.
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A numerical approach to fractional Volterra-Fredholm integro-differential problems using shifted Chebyshev spectral collocation. [PDF]
Sci RepHamood MM, Sharif AA, Ghadle KP.
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An elementary noniterative quadrature-type method for the numerical solution of a nonlinear equation
, 1986 Anastasselou, EG, Ioakimidis, NI
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