21 citations · 23 across the 4 of their papers we have counts for
4 papers
Hadamard integrator for time-dependent wave equations: Lagrangian formulation via ray tracing
Yuxiao Wei, Jin Cheng, Robert Burridge +1
We propose a novel Hadamard integrator for the self-adjoint time-dependent wave equation in an inhomogeneous medium. First, we create a new asymptotic series based on the Gelfand-S…
A Tikhonov Regularization Based Algorithm for Scattered Data with Random Noise
Jiantang Zhang, Jin Cheng, Min Zhong
With the rapid growth of data, how to extract effective information from data is one of the most fundamental problems. In this paper, based on Tikhonov regularization, we propose a…
Extract the information from the big data with randomly distributed noise
Jin Cheng, Jiantang Zhang, Min Zhong
In this manuscript, a purely data driven statistical regularization method is proposed for extracting the information from big data with randomly distributed noise. Since the varia…
Uniqueness of determining the variable fractional order in variable-order time-fractional diffusion equations
Xiangcheng Zheng, Jin Cheng, Hong Wang
We study an initial-boundary value problem of variable-order time-fractional diffusion equations in one space dimension. Based on the wellposedness of the proposed model and the sm…