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math.NA2025★ 2 cited
Tensor parametric Hamiltonian operator inference
Arjun Vijaywargiya, Shane A. McQuarrie, Anthony Gruber
This work presents a tensorial approach to constructing data-driven reduced-order models corresponding to semi-discrete partial differential equations with canonical Hamiltonian st…
math.NA2023
Two Finite Element Approaches For The Porous Medium Equation That Are Positivity Preserving And Energy Stable
Arjun Vijaywargiya, Guosheng Fu
In this work, we present the construction of two distinct finite element approaches to solve the Porous Medium Equation (PME). In the first approach, we transform the PME to a log-…