Error Analysis of Kernel/GP Methods for Nonlinear and Parametric PDEs

arXiv2305.04962MaRDI QIDQ6435821

Yi-Fan Chen, Houman Owhadi, Andrew M. Stuart, Pau Batlle, Bamdad Hosseini

Publication date: 8 May 2023

Mathematics Subject Classification ID

Gaussian processes (60G15) Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Nonlinear boundary value problems for ordinary differential equations (34B15) Inverse problems for PDEs (35R30) Spline approximation (41A15) Kernel operators (47B34) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

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