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07/14/2023
Generalized Finite Difference Method on unknown manifolds
In this paper, we extend the Generalized Finite Difference Method (GFDM)...
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06/12/2021
Solving PDEs on Unknown Manifolds with Machine Learning
This paper proposes a mesh-free computational framework and machine lear...
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06/07/2020
Ghost Point Diffusion Maps for solving elliptic PDE's on Manifolds with Classical Boundary Conditions
In this paper, we extend the class of kernel methods, the so-called diff...
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10/13/2019
Machine Learning for Prediction with Missing Dynamics
This article presents a general framework for recovering missing dynamic...
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05/17/2019