Convergent Compact Finite Difference Methods with Symmetric Matrices and Highest Possible Orders for Variable-Coefficient Elliptic Equations

Qiwei Feng, Bin Han, Michelle Michelle +1

For the $d$-dimensional variable-coefficient Poisson problem $-\nabla \cdot (a\nabla u)=f$ subject to Dirichlet boundary conditions, we seek compact (i.e., $3^d$-point) symmetric fi…