32 citations · 93 across the 20 of their papers we have counts for
22 papers
MOSAIC-SR: Transformer-Guided Symbolic Regression for Scientific Equation Recovery
Peiyi Zheng, Yanming Kang, Hans De Sterck +1
Symbolic regression aims to recover closed-form equations from observations, providing interpretable models for scientific discovery. Existing approaches struggle to combine flexib…
Parallel-in-time solution of hyperbolic PDE systems via characteristic-variable block preconditioning
O. A. Krzysik, H. De Sterck, R. D. Falgout +1
We consider the parallel-in-time solution of hyperbolic partial differential equation (PDE) systems in one spatial dimension, both linear and nonlinear. In the nonlinear setting, t…
First-order PDES for Graph Neural Networks: Advection And Burgers Equation Models
Yifan Qu, Oliver Krzysik, Hans De Sterck +1
Graph Neural Networks (GNNs) have established themselves as the preferred methodology in a multitude of domains, ranging from computer vision to computational biology, especially i…
Parallel-in-time solution of scalar nonlinear conservation laws
O. A. Krzysik, H. De Sterck, R. D. Falgout +1
We consider the parallel-in-time solution of scalar nonlinear conservation laws in one spatial dimension. The equations are discretized in space with a conservative finite-volume m…
Asymptotic convergence of restarted Anderson acceleration for certain normal linear systems
Oliver A. Krzysik, Hans De Sterck, Adam Smith
Anderson acceleration (AA) is widely used for accelerating the convergence of an underlying fixed-point iteration , , with $\…
Efficient multigrid reduction-in-time for method-of-lines discretizations of linear advection
H. De Sterck, R. D. Falgout, O. A. Krzysik +1
Parallel-in-time methods for partial differential equations (PDEs) have been the subject of intense development over recent decades, particularly for diffusion-dominated problems.…