4 papers
Learned Adaptive Mesh Generation
Zhiyuan Zhang, Amir Vaxman, Stefanos-Aldo Papanicolopulos +1
Elliptic Partial Differential Equations (PDEs) play a central role in computing the equilibrium conditions of physical problems (heat, gravitation, electrostatics, etc.). Efficient…
Towards scientific machine learning for granular material simulations -- challenges and opportunities
Marc Fransen, Andreas Fürst, Deepak Tunuguntla +21
Micro-scale mechanisms, such as inter-particle and particle-fluid interactions, govern the behaviour of granular systems. While particle-scale simulations provide detailed insights…
Derivatives of the full QR factorisation and of the factored-form and compact WY representations
Stefanos-Aldo Papanicolopulos
QR factorisation plays an important role in matrix computations. Within the context of optimisation and of automatic differentiation of such computations, we need to compute the de…
Implicit-Explicit simulation of Mass-Spring-Charge Systems
Zhiyuan Zhang, Krzysztof Grykiel, Zhaocheng Liu +2
Point masses connected by springs, or mass-spring systems, are widely used in computer animation to approximate the behavior of deformable objects. One of the restrictions imposed…