We start the year 2025 with a special lecture by Jinchao Xu, the Director of KAUST Innovation Hub, Shenzhen. The talk will take place at Weierstrass Institute (WIAS) on 14.01.2025 from 13:30 - 15:00am. It will also be possible to join the presentation via Zoom.

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Where & when?

Location: WIAS

Room: 405/406

Date & Time: 14.01.2025, 13:30 - 15:00am

Zoom-Meeting: t.b.a.

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Jinchao Xu (KAUST Innovation Hub, Shenzhen)

Finite Neuron Methods for Partial Differential Equations

In this talk, I will report several theoretical and numerical studies of finite neuron method for partial differential equations. Topics include approximation properties of neural network functions, error estimates for the finite neuron method, convergence analysis of training algorithms, the relationship between ReLU^k finite neuron method with the tradition finite element and spectral method, and the comparison of their efficiency for high dimensional problems.