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math.NA2026
Order Reduction of Exponential Runge--Kutta Methods: Fourth-Order Schemes for Non-Commuting Operators
Thi Tam Dang, Pablo Alexei Gazca-Orozco, Trung Hau Hoang
This paper extends the convergence analysis of explicit exponential Runge--Kutta methods for linear parabolic problems , where generates an analytic semi…
math.AP2026
Well-posedness of nonlinear parabolic equations with unbounded drift via nonlinear evolution theory
Thi Tam Dang, Trung Hau Hoang, Giandomenico Orlandi +1
We develop a nonlinear evolution framework for nonlinear parabolic equations with unbounded drift terms formulated in Lorentz spaces. The main contribution lies in the construction…