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03/10/2023
Neural Partial Differential Equations with Functional Convolution
We present a lightweighted neural PDE representation to discover the hid...
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04/21/2022
Cellular Topology Optimization on Differentiable Voronoi Diagrams
Cellular structures manifest their outstanding mechanical properties in ...
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05/17/2021
Thin-Film Smoothed Particle Hydrodynamics Fluid
We propose a particle-based method to simulate thin-film fluid that join...
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10/23/2020
Nonseparable Symplectic Neural Networks
Predicting the behaviors of Hamiltonian systems has been drawing increas...
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06/07/2020
RoeNets: Predicting Discontinuity of Hyperbolic Systems from Continuous Data
We introduce Roe Neural Networks (RoeNets) that can predict the disconti...
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06/07/2020
Neural Vortex Method: from Finite Lagrangian Particles to Infinite Dimensional Eulerian Dynamics
In the field of fluid numerical analysis, there has been a long-standing...
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05/11/2020