2 papers
math.NA2025
Weighted Proper Orthogonal Decomposition for High-Dimensional Optimization
Sebastiaan P. C. van Schie, Boris Kramer, John T. Hwang
While proper orthogonal decomposition (POD) is widely used for model reduction, its standard form does not take into account any parametric model structure. Extensions to POD have…
cs.SC2025
Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations
Boris Kramer, Gleb Pogudin
Dynamical systems with quadratic or polynomial drift exhibit complex dynamics, yet compared to nonlinear systems in general form, are often easier to analyze, simulate, control, an…