A Generalized Spatially Adaptive Sparse Grid Combination Technique with Dimension-wise Refinement

DOI10.1137/20M1325885OpenAlexW3176103068MaRDI QIDQ5005004

Hans-Joachim Bungartz, Michael Obersteiner

Publication date: 4 August 2021

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1325885

zbMATH Keywords

interpolationnumerical integrationsparse gridscombination techniquespatial adaptivity

Mathematics Subject Classification ID

Numerical interpolation (65D05) Complexity and performance of numerical algorithms (65Y20) Numerical integration (65D30)

Related Items (3)

An hp‐adaptive multi‐element stochastic collocation method for surrogate modeling with information re‐use ⋮ A stable and mass-conserving sparse grid combination technique with biorthogonal hierarchical basis functions for kinetic simulations ⋮ High-dimensional approximation with kernel-based multilevel methods on sparse grids

Uses Software

• TESTPACK

Cites Work

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• Spatially adaptive sparse grids for high-dimensional data-driven problems
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• Multivariate quadrature on adaptive sparse grids
• A spatially adaptive sparse grid combination technique for numerical quadrature
• Sur certaines suites liées aux ensembles plans et leur application à la représentation conforme
• The efficient solution of fluid dynamics problems by the combination technique
• Sparse grids
• On the Lebesgue constant of weighted Leja points for Lagrange interpolation on unbounded domains
• Application of an additive sparse-grid technique to a model singular perturbation problem

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