A Study on a Feedforward Neural Network to Solve Partial Differential Equations in Hyperbolic-Transport Problems
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Publisher
Springer International Publishing
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https://link.springer.com/content/pdf/10.1007/978-3-030-77964-1_31
Reference23 articles.
1. Abreu, E., Matos, V., Pérez, J., Rodríguez-Bermúdez, P.: A class of Lagrangian–Eulerian shock-capturing schemes for first-order hyperbolic problems with forcing terms. J. Sci. Comput. 86(1), 1–47 (2021). https://doi.org/10.1007/s10915-020-01392-w
2. Abreu, E., Pérez, J.: A fast, robust, and simple Lagrangian-Eulerian solver for balance laws and applications. Comput. Math. Appl. 77(9), 2310–2336 (2019)
3. Alibaud, N., Andreianov, B., Ouédraogo, A.: Nonlocal dissipation measure and $$\cal{L}^1$$ kinetic theory for fractional conservation laws. Commun. Partial Differ. Equ. 45(9), 1213–1251 (2020)
4. Berg, J., Nyström, K.: Data-driven discovery of PDEs in complex datasets. J. Comput. Phys. 384, 239–252 (2019)
5. Bressan, A., Chiri, M.T., Shen, W.: A posteriori error estimates for numerical solutions to hyperbolic conservation laws (2020). https://arxiv.org/abs/2010.00428
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