4 papers
Parametric Operator Inference to Simulate the Purging Process in Semiconductor Manufacturing
Seunghyon Kang, Hyeonghun Kim, Boris Kramer
This work presents the application of parametric Operator Inference (OpInf) -- a nonintrusive reduced-order modeling (ROM) technique that learns a low-dimensional representation of…
Quadratization of Autonomous Partial Differential Equations: Theory and Algorithms
Albani Olivieri, Gleb Pogudin, Boris Kramer
Quadratization for partial differential equations (PDEs) is a process that transforms a nonquadratic PDE into a quadratic form by introducing auxiliary variables. This symbolic tra…
Physically consistent predictive reduced-order modeling by enhancing Operator Inference with state constraints
Hyeonghun Kim, Boris Kramer
Numerical simulations of complex multiphysics systems, such as char combustion considered herein, yield numerous state variables that inherently exhibit physical constraints. This…
Data-Driven Reduced-Order Models for Port-Hamiltonian Systems with Operator Inference
Yuwei Geng, Lili Ju, Boris Kramer +1
Hamiltonian operator inference has been developed in [Sharma, H., Wang, Z., Kramer, B., Physica D: Nonlinear Phenomena, 431, p.133122, 2022] to learn structure-preserving reduced-o…