4 papers
A Quantum Spectral Framework for Solving PDEs
Chih-Kang Huang, Giacomo Antonioli, Frédéric Barbaresco
Partial differential equations (PDEs) are fundamental across numerous scientific fields. As these problems scale to high dimensions, classical numerical schemes introduce severe co…
DeepRitzSplit Neural Operator for Phase-Field Models via Energy Splitting
Chih-Kang Huang, Ludovick Gagnon, Miha Založnik +1
The multi-scale and non-linear nature of phase-field models of solidification requires fine spatial and temporal discretization, leading to long computation times. This could be ov…
Variational Quantum Brushes
Jui-Ting Lu, Henrique Ennes, Chih-Kang Huang +1
Quantum brushes are computational arts software introduced by Ferreira et al (2025) that leverage quantum behavior to generate novel artistic effects. In this outreach paper, we in…
A penalized Allen-Cahn equation for the mean curvature flow of thin structures
Elie Bretin, Chih-Kang Huang, Simon Masnou
This paper addresses the approximation of the mean curvature flow of thin structures for which classical phase field methods are not suitable. By thin structures, we mean surfaces…