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math.NA2024
Energy Dissipation Preserving Physics Informed Neural Network for Allen-Cahn Equations
Mustafa Kütük, Hamdullah Yücel
This paper investigates a numerical solution of Allen-Cahn equation with constant and degenerate mobility, with polynomial and logarithmic energy functionals, with deterministic an…
math.NA2020
Stochastic Discontinuous Galerkin Methods with Low--Rank Solvers for Convection Diffusion Equations
Pelin Çiloğlu, Hamdullah Yücel
We investigate numerical behaviour of a convection diffusion equation with random coefficients by approximating statistical moments of the solution. Stochastic Galerkin approach, t…