Symmetric quadrature rules for tetrahedra based on a cubic close-packed lattice arrangement

DOI10.1016/j.cam.2012.03.032zbMath1247.65035OpenAlexW2081036239MaRDI QIDQ442718

Lee Shunn, Frank E. Ham

Publication date: 3 August 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2012.03.032

zbMATH Keywords

convergencenumerical integrationnumerical examplespositive weightscubatures for tetrahedracubic close-packedsymmetrie

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

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Cites Work

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• Moderate-degree tetrahedral quadrature formulas
• A globally convergent method for nonlinear programming
• Monomial cubature rules since ``Stroud: A compilation
• Symmetric quadrature rules on a triangle
• Monomial cubature rules since ``Stroud: A compilation. II
• An Algorithm for Computing Fekete Points in the Triangle
• High degree efficient symmetrical Gaussian quadrature rules for the triangle
• On Simplex Trapezoidal Rule Families
• Moderate Degree Symmetric Quadrature Rules for the Triangle
• Invariant Integration Formulas for the n-Simplex by Combinatorial Methods
• From Electrostatics to Almost Optimal Nodal Sets for Polynomial Interpolation in a Simplex
• A Rapidly Convergent Descent Method for Minimization
• A Fifth Degree Integration Formula for the n-Simplex
• A Family of Variable-Metric Methods Derived by Variational Means
• Symmetric Quadrature Formulae for Simplexes
• Finite Difference Approximation for Pricing the American Lookback Option
• Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions