Solving differential equations with unknown constitutive relations as recurrent neural networks.
Tobias HaggePanos StinisEnoch YeungAlexandre M. TartakovskyPublished in: CoRR (2017)
Keyphrases
- differential equations
- recurrent neural networks
- feed forward artificial neural networks
- runge kutta
- dynamical systems
- echo state networks
- neural network
- feed forward
- numerical solution
- neural model
- recurrent networks
- boundary value problem
- ordinary differential equations
- cascade correlation
- initial conditions
- finite element
- numerical methods
- feedforward neural networks
- reservoir computing
- artificial neural networks
- nonlinear differential equations
- difference equations
- partial differential equations
- nonlinear dynamic systems
- expert systems
- higher order
- machine learning