128 citations · 346 across the 59 of their papers we have counts for
4 papers · 1 filter
Solution of a system of Hamilton-Jacobi equations on a network
Emily R. Hammett, Maria Teresa Chiri, Kenneth D. Czuprynski +1
We extend the study of Hamilton-Jacobi equations on networks from a single equation to a weakly coupled system of two equations on a star graph, and we develop a numerical scheme f…
A Conjugate Gradient Formulation of the EnKF Algorithm
Sanghyun Lee, Zhengqi Liu, Jonathan Valyou +1
Ensemble Kalman Filter (EnKF) based data assimilation algorithms synthesize predictive numerical forecast models with accumulated data as time evolves and account for model uncerta…
Improving accuracy of finite element solutions by smoothing
Yuwen Li, Han Shui, Ludmil Zikatanov
This paper develops a smoothing-based postprocessing method for improving the accuracy of finite element solutions. The method applies a few smoothing iterations, such as damped Ja…
A Mollification Approach to Ramified Transport and Tree Shape Optimization
Alberto Bressan, Giacomo Vecchiato, Ludmil Zikatanov
The paper analyzes a mollification algorithm, for the numerical computation of optimal irrigation patterns. This provides a regularization of the standard irrigation cost functiona…