An adaptive high-order piecewise polynomial based sparse grid collocation method with applications

DOI10.1016/j.jcp.2020.109770OpenAlexW3128387452MaRDI QIDQ2120741

Yingda Cheng, Yan Jiang, Zhanjing Tao

Publication date: 1 April 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.03982

zbMATH Keywords

collocation methodmultiresolution analysishigh-dimensional modelpiecewise polynomialadaptive sparse grid

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Numerical interpolation (65D05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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