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math.NA2025
On Convergence of the Secant Method
Yan Tan, Chenhao Ye, Qinghai Zhang +1
The secant method, as an important approach for solving nonlinear equations, is introduced in nearly all numerical analysis textbooks. However, most textbooks only briefly address…
math.NA2025
A multiphase cubic MARS method for fourth- and higher-order interface tracking of two or more materials with arbitrary topology and geometry
Yan Tan, Yixiao Qian, Zhiqi Li +1
For interface tracking of an arbitrary number of materials in two dimensions, we propose a multiphase cubic MARS method that (a) represents the topology and geometry of the interfa…