3 papers
math.NA2026
Multi-parameter determination in the semilinear Helmholtz equation
Long-Ling Du, Zejun Sun, Li-Li Wang +1
This paper studies an inverse boundary value problem for a semilinear Helmholtz equation with Neumann boundary conditions in a bounded domain (). Th…
math.NA2025
Geometric optics approximation sampling: near-field case
Zejun Sun, Guang-Hui Zheng
In this paper, we propose a novel gradient-free and dimensionality-independent sampler, the Geometric Optics Approximation Sampling (GOAS), based on a near-field reflector system.…
math.NA2025
Inverse Random Source Problem for the Helmholtz Equation from Statistical Phaseless Data
Qiao-Ping Chen, Hongyu Liu, Zejun Sun +2
This paper investigates the problem of reconstructing a random source from statistical phaseless data for the two-dimensional Helmholtz equation. The major challenge of this proble…