NeuralPDE.jl is a solver package which consists of neural network solvers for partial differential equations using scientific machine learning (SciML) techniques such as physics-informed neural networks (PINNs) and deep BSDE solvers. This package utilizes deep neural networks and neural stochastic differential equations to solve high-dimensional PDEs at a greatly reduced cost and greatly increased generality compared with classical methods.

References in zbMATH (referenced in 33 articles )

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  1. Isensee, Jonas; Datseris, George; Parlitz, Ulrich: Predicting spatio-temporal time series using dimension reduced local states (2020)
  2. Karrasch, Daniel; Schilling, Nathanael: Fast and robust computation of coherent Lagrangian vortices on very large two-dimensional domains (2020)
  3. Mikhlin, Yuri; Onizhuk, Anton: Resonance behavior of the non-ideal system which contains a snap-through truss absorber (2020)
  4. Mikhlin, Yuri; Onizhuk, Anton; Awrejcewicz, Jan: Resonance behavior of the system with a limited power supply having the Mises girder as absorber (2020)
  5. Öffner, Philipp; Torlo, Davide: Arbitrary high-order, conservative and positivity preserving Patankar-type deferred correction schemes (2020)
  6. Ranocha, Hendrik; Ketcheson, David I.: Energy stability of explicit Runge-Kutta methods for nonautonomous or nonlinear problems (2020)
  7. Schilling, Nathanael; Froyland, Gary; Junge, Oliver: Higher-order finite element approximation of the dynamic Laplacian (2020)
  8. Andrade, Tomás; Emparan, Roberto; Licht, David; Luna, Raimon: Black hole collisions, instabilities, and cosmic censorship violation at large (D) (2019)
  9. Andrade, Tomás; Emparan, Roberto; Licht, David; Luna, Raimon: Cosmic censorship violation in black hole collisions in higher dimensions (2019)
  10. Blåbäck, J.; Gautason, F. F.; Ruipérez, A.; Van Riet, T.: Anti-brane singularities as red herrings (2019)
  11. Contreras, Carlos; Carrero, Gustavo; de Vries, Gerda: A mathematical model for the effect of low-dose radiation on the G2/M transition (2019)
  12. Kamiński, Bogumił; Olczak, Tomasz; Prałat, Paweł: Parallel execution of schedules with random dependency graph (2019)
  13. Ranocha, Hendrik; Öffner, Philipp: (L_2) stability of explicit Runge-Kutta schemes (2018)