4 citations · 4 across the 6 of their papers we have counts for
6 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…
New fully symmetric and rotationally symmetric cubature rules on the triangle using minimal orthonormal bases
Stefanos-Aldo Papanicolopulos
Cubature rules on the triangle have been extensively studied, as they are of great practical interest in numerical analysis. In most cases, the process by which new rules are obtai…
Analytical computation of moderate-degree fully-symmetric cubature rules on the triangle
Stefanos-Aldo Papanicolopulos
A method is developed to compute analytically fully symmetric cubature rules on the triangle by using symmetric polynomials to express the two kinds of invariance inherent in these…