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math.NA2026
DTPFI: A stable algorithm for recovering nonlinear energy potentials in phase field systems
Tianhao Ni, Jun Lai
This work proposes a Dual Time Phase Field Inversion (DTPFI) method for recovering unknown potential functions in phase field models. The reconstruction is formulated as an optimiz…
math.NA2022
A Modified Nonlinear Conjugate Gradient Algorithm for Functions with Non-Lipschitz Gradient
Bingjie Li, Tianhao Ni, Zhenyue Zhang
In this paper, we propose a modified nonlinear conjugate gradient (NCG) method for functions with a non-Lipschitz continuous gradient. First, we present a new formula for the conju…