research
∙
06/22/2023
Sixth-Order Hybrid FDMs and/or the M-Matrix Property for Elliptic Interface Problems with Mixed Boundary Conditions
In this paper, we develop sixth-order hybrid finite difference methods (...
research
∙
10/04/2022
Compact 9-Point Finite Difference Methods with High Accuracy Order and/or M-Matrix Property for Elliptic Cross-Interface Problems
In this paper we develop finite difference schemes for elliptic problems...
research
∙
05/03/2022
Hybrid Finite Difference Schemes for Elliptic Interface Problems with Discontinuous and High-Contrast Variable Coefficients
For elliptic interface problems with discontinuous coefficients, the max...
research
∙
12/14/2021
Sixth Order Compact Finite Difference Method for 2D Helmholtz Equations with Singular Sources and Reduced Pollution Effect
Due to its highly oscillating solution, the Helmholtz equation is numeri...
research
∙
05/10/2021
A High Order Compact Finite Difference Scheme for Elliptic Interface Problems with Discontinuous and High-Contrast Coefficients
The elliptic interface problems with discontinuous and high-contrast coe...
research
∙
04/16/2021