Asymptotic-preserving neural networks for hyperbolic systems with diffusive scaling
DOI10.1007/978-3-031-29875-2_2zbMATH Open1548.65246MaRDI QIDQ6613475
Publication date: 2 October 2024
diffusion limitphysics-informed neural networksasymptotic-preserving methodsmultiscale hyperbolic systemsdiscrete-velocity kinetic models
Epidemiology (92D30) Computational learning theory (68Q32) Artificial neural networks and deep learning (68T07) Numerical optimization and variational techniques (65K10) Asymptotic behavior of solutions to PDEs (35B40) Population dynamics (general) (92D25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) First-order hyperbolic equations (35L02) PDE constrained optimization (numerical aspects) (49M41)
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