Supplemental Material for Physical Modeling using Recurrent Neural Networks with Fast Convolutional Layers

Example 1 - Linear String

Linear string GRU

Linear string Real

Linear string Reference

Linear string RNN

Example 2 - Nonlinear String

Nonlinear string GRU

Nonlinear string Real

Nonlinear string Reference

Nonlinear string RNN

Example 3 - 2D Wave Equation

Physical parameters used for dataset generation

Linear String

Quantity	Value
\(E\)	5.4 e9
$\rho_s$	1140
$l$	0.65
$A$	0.5188 e-6
$I$	0.171 e-12
$d_1$	8 e-1
$d_3$	1.4 e-5
$T_s$	60.97
$\nu$	50

2d wave equation

Quantity	Value
$l_x$	1
$l_y$	0.95
$c_0$	340
$\rho_o$	1.2041

Nonlinear Tension Modulated String

Quantity	Value
$l$	0.65
$A$	0.5188e-6
$I$	0.171e-12
$\rho$	1140
$E$	5.4e9
$d_1$	1e-2
$d_3$	6e-5
$T_{s0}$	60.97

Network/Training Hyperparameters

Visible in: train_1d_string.py train_2d_wave.py
train_1d_nonlinear_string.py