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- W4310561337 abstract "Deep neural network (DNN) architectures are constructed that are the exact equivalent of explicit Runge-Kutta schemes for numerical time integration. The network weights and biases are given, i.e., no training is needed. In this way, the only task left for physics-based integrators is the DNN approximation of the right-hand side. This allows to clearly delineate the approximation estimates for right-hand side errors and time integration errors. The architecture required for the integration of a simple mass-damper-stiffness case is included as an example." @default.
- W4310561337 created "2022-12-12" @default.
- W4310561337 creator A5021343350 @default.
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- W4310561337 date "2022-11-30" @default.
- W4310561337 modified "2023-09-26" @default.
- W4310561337 title "Neural Network Representation of Time Integrators" @default.
- W4310561337 doi "https://doi.org/10.48550/arxiv.2211.17039" @default.
- W4310561337 hasPublicationYear "2022" @default.
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