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most citedpETNNs: Partial Evolutionary Tensor Neural Networks for Solving Time-dependent Partial Differential Equations

4 citations · 5 across the 6 of their papers we have counts for

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cs.LG2024

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape

Yuankai Liu, Lei Zhang, Jin Zhao

The high-index saddle dynamics (HiSD) method is a powerful approach for computing saddle points and solution landscape. However, its practical applicability is constrained by the n…

math.NA2024★ 4 cited

pETNNs: Partial Evolutionary Tensor Neural Networks for Solving Time-dependent Partial Differential Equations

Tunan Kao, He Zhang, Lei Zhang +1

We present the partial evolutionary tensor neural networks (pETNNs), a novel framework for solving time-dependent partial differential equations with high accuracy and capable of h…