Multivariate quadrature rules on crosslet sparse grids

DOI10.1007/s11075-021-01217-3zbMath1493.65046OpenAlexW3209092925MaRDI QIDQ2672714

Shenggang Zhang, Xingping Sun, Qinjiao Gao

Publication date: 13 June 2022

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-021-01217-3

zbMATH Keywords

quasi-interpolationmultivariate quadraturecrosslet grids

Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Cites Work

• Unnamed Item
• Unnamed Item
• Distribution of points on spheres and approximation by zonotopes
• On a new method for constructing good point sets on spheres
• Approximating the ball by a Minkowski sum of segments with equal length
• Numerical integration using sparse grids
• Approximation of zonoids by zonotopes
• A family of symmetric, optimized quadrature rules for pentatopes
• On the convergence of the rescaled localized radial basis function method
• Multilevel quasi-interpolation on a sparse grid with the Gaussian
• Numerical Integration in Multiple Dimensions with Designed Quadrature
• Optimality and Regularization Properties of Quasi-Interpolation: Deterministic and Stochastic Approaches
• Multivariate Monte Carlo Approximation Based on Scattered Data
• Sparse grids
• High-dimensional integration: The quasi-Monte Carlo way

This page was built for publication: Multivariate quadrature rules on crosslet sparse grids