2 papers
math.NA2026
Explicit Runge approximation for Helmholtz equation with cylindrical harmonics
Yu Chen, Jin Cheng, Tingyue Li
Originating from the complex approximation of holomorphic functions, the Runge approximation for elliptic equations has evolved into a fundamental tool for inverse problems and eve…
math.NA2026
A Robust Learning-Based Method for the Helmholtz Equation in Dissipative Media and Complex Domains
Lifu Song, Tingyue Li, Jin Cheng
To mitigate pollution effects in high-frequency Helmholtz problems, Learning-based Numerical Methods (LbNM) reconstruct solution operators using complete systems of exact solutions…