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VGU RESEARCH REPOSITORY


Please use this identifier to cite or link to this item: https://epub.vgu.edu.vn/handle/dlibvgu/1133
Title: Adjusted sparse tensor product spectral galerkin method for solving pseudodifferential equations on the sphere with random input data
Authors: Pham Thanh Duong 
Keywords: Stochastic pseudodifferential equations;Statistical moments;Hyperbolic cross spectral methods;Spheres
Issue Date: 2020
Source: https://www.proquest.com/docview/2222865975?pq-origsite=gscholar&fromopenview=true
Conference name: 2020 Workshop on Optimal Congratulations and Related Topics 
Abstract: 
An adjusted sparse tensor product spectral Galerkin approximation method based on spherical harmonics is introduced and analyzed for solving pseudodifferential equations on the sphere with random input data. These equations arise from geodesy where the sphere is taken as a model of the earth. Numerical solutions to the corresponding k-th order statistical moment equations are found in adjusted sparse tensor approximation spaces which are accordingly designed to the regularity of the data and the equation. Established convergence theorem shows that the adjusted sparse tensor Galerkin discretization is superior not only to the full tensor product but also to the standard sparse tensor counterpart when the statistical moments of the data are of mixed unequal regularity. Numerical experiments illustrate our theoretical results.
Duration: 01/10/2020
Conference venue: Chengdu, China
URI(1): http://epub.vgu.edu.vn/handle/dlibvgu/1133
Appears in Collections:Conference papers

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