4 papers
HI-MeshGraphNets: Efficient and Accurate Mesh-based Physics Learning with Hierarchical Multi-scale Graph Neural Networks
SiHun Lee, Dong-Hyuk Park, Taesoo Bang +1
Machine-learned physical surrogate models have become promising alternatives to mesh-based numerical solvers. Among them, graph neural networks (GNNs) are well suited for represent…
Isochronous and underdamped waveforms of modified Emden oscillators
J. de la Cruz, H. C. Rosu
Bernoulli-type waveforms for modified Emden nonlinear oscillators of arbitrary natural power are obtained through a generalized commutative factorization approach. These oscill…
Isochronous waveforms of Liénard equations via commutative factorization
G. Gonzalez, O. Cornejo-Perez, J. de la Cruz +1
Isochronous waveform solutions of homogeneous Liénard equations are obtained by a modification of the nonlinear factorization method of Rosu and Cornejo-Pérez. The scheme is base…
Normalized eigenfunctions of parametrically factored Schroedinger equations
J. de la Cruz, H. C. Rosu
The factorizations using the general Riccati solution constructed from a given particular solution by means of the Bernoulli ansatz initiated in 1984 by Mielnik and Fernandez C. fo…