3 papers
math.NA2026
Inertial Manifold Neural Operator for Dissipative Time-Dependent Partial Differential Equations
Xiaoyang Xie, Clarence W. Rowley
In this paper, we introduce the Inertial Manifold Neural Operator (IMNO) for solving dissipative time-dependent partial differential equations (PDEs). The long-time dynamics of suc…
physics.comp-ph2026
Resolvent4py: a parallel Python package for analysis, model reduction and control of large-scale linear systems
Alberto Padovan, Vishal Anantharaman, Clarence W. Rowley +3
In this paper, we present resolvent4py, a parallel Python package for the analysis, model reduction and control of large-scale linear systems with millions or billions of degrees o…
math.NA2025
Symmetry-reduced model reduction of shift-equivariant systems via operator inference
Yu Shuai, Clarence W. Rowley
We consider data-driven reduced-order models of partial differential equations with shift equivariance. Shift-equivariant systems typically admit traveling solutions, and the main…