2 papers
math.NA2026
A Globally Conservative Compact Framework for Conservation Laws: Fourth-Order Schemes with Enhanced Resolution and Stability
Weifeng Hou, Zhangpeng Sun, Wenqi Yao +1
The compact finite difference method is a powerful tool for discretizing conservation laws, owing to its inherent flexibility in developing high-resolution and highly stable scheme…
math.NA2024
High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schrödinger-Poisson Problem
Meili Guo, Haiyan Jiang, Tiao Lu +1
The 1D Schrödinger equation closed with the transparent boundary conditions(TBCs) is known as a successful model for describing quantum effects, and is usually considered with a s…