Applied Mathematics Theses and Dissertations

Theses and Dissertations for the Applied Mathematics department.

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Description:: This thesis introduces novel neural network architectures designed to discover dynamical systems from physical data and as well as solve dynamical systems rising from optimal …
Year:: 2024
Contributor:: Zhang, Zhen (creator); Karniadakis, George (Advisor); Keith, Brendan (Reader); Darbon, Jérôme (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: dynamical systems; Deep Learning; Symplectic geometry
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: This dissertation is centered around the broad topic of physics-informed deep learning (DL). Specifically, it covers the following three fronts: Algorithms. Recent developments of DL, …
Year:: 2020
Contributor:: Lu, Lu (creator); Karniadakis, George (Advisor); Harrison, Matthew (Reader); Stinis, Panos (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Differential equations, Partial; Deep Learning; computational physics
Collection:: Applied Mathematics; Theses and Dissertations

Full Record