Phase computation for the finite-genus solutions to the focusing nonlinear Schrödinger equation using convolutional neural networks.
Stepan BogdanovDmitry ShepelskyAnastasiia VasylchenkovaEgor SedovPedro J. FreireSergei K. TuritsynJaroslaw E. PrilepskyPublished in: Commun. Nonlinear Sci. Numer. Simul. (2023)
Keyphrases
- wave equation
- hamilton jacobi
- convolutional neural networks
- finite difference
- heat equation
- boundary value problem
- numerical integration
- eikonal equation
- scale space
- medial axis
- nonlinear equations
- boundary conditions
- distance transform
- optimal solution
- diffusion process
- numerical analysis
- scale spaces
- partial differential equations
- convolutional network
- neural network
- numerical solution
- gaussian kernel
- level set method
- finite element
- level set
- multi objective
- genetic algorithm