3 papers
math.NA2025
A new iterated Tikhonov regularization method for Fredholm integral equation of first kind
Xiaowei Pang, Jun Wang
We consider Fredholm integral equation of the first kind, present an efficient new iterated Tikhonov method to solve it. The new Tikhonov iteration method has been proved which can…
math.NA2025
An Integral Equation Method for Linear Two-Point Boundary Value Systems
Tianze Zhang, Yixuan Ma, Jun Wang
We present an integral equation-based method for the numerical solution of two-point boundary value systems. Special care is devoted to the mathematical formulation, namely the cho…
math.NA2024
A Fast Adaptive Method for the Heat Equation with Moving or Free Boundaries in One Dimension
Chengyue Song, Jun Wang
We present a fast adaptive method for the evaluation of heat potentials, which plays a key role in the integral equation approach for the solution of the heat equation, especially…