Analytical computation of moderate-degree fully-symmetric cubature rules on the triangle [PDF]
, 2011 A method is developed to compute analytically fully symmetric cubature rules on the triangle by using symmetric polynomials to express the two kinds of invariance inherent in these rules.
Papanicolopulos, Stefanos-Aldo
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The role of Frolov's cubature formula for functions with bounded mixed derivative
, 2016 We prove upper bounds on the order of convergence of Frolov's cubature formula for numerical integration in function spaces of dominating mixed smoothness on the unit cube with homogeneous boundary condition.
Ullrich, Mario, Ullrich, Tino
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Polyharmonic Hardy Spaces on the Klein-Dirac Quadric with Application to Polyharmonic Interpolation and Cubature Formulas [PDF]
, 2012 In the present paper we introduce a new concept of Hardy type space naturally defined on the Klein-Dirac quadric. We study different properties of the functions belonging to these spaces, in particular boundary value problems.
Kounchev, Ognyan, Render, Hermann
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Spectral Analysis of High Order Continuous FEM for Hyperbolic PDEs on Triangular Meshes: Influence of Approximation, Stabilization, and Time-Stepping. [PDF]
J Sci Comput, 2023 Michel S +3 more
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Numerical cubature using error-correcting codes
, 2004 We present a construction for improving numerical cubature formulas with equal weights and a convolution structure, in particular equal-weight product formulas, using linear error-correcting codes.
Kuperberg, Greg
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On the Effect of Imperfect Reference Signal Phase Recovery on Performance of PSK System Influenced by TWDP Fading. [PDF]
Entropy (Basel), 2023 Djordjevic GT +4 more
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Accurate computation of the high dimensional diffraction potential over hyper-rectangles
, 2018 We propose a fast method for high order approximation of potentials of the Helmholtz type operator Delta+kappa^2 over hyper-rectangles in R^n. By using the basis functions introduced in the theory of approximate approximations, the cubature of a ...
Lanzara, Flavia +2 more
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Recent Advances in Cartesian-Grid DFT in Atoms and Molecules. [PDF]
Front Chem, 2022 Majumdar S, Roy AK.
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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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Vem++, a C++ library to handle and play with the virtual element method. [PDF]
Numer AlgorithmsDassi F.
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