Matlab, Fortran Functions and Subroutines of IIM

Companion of the book: The Immersed Interface Method -- Numerical Solutions of PDEs Involving Interfaces and Irregular Domains, Zhilin Li and Kazufumi Ito, SIAM Frontiers in Applied mathematics, 33, ISBN: 0-89971-609-8.

It is still under construction and will be constantly updated!

Matlab Code:

EX2.1      EX2.2      1D_General

Heat_1D_IIM

New results: For 1D problem, the left/right derivatives at the interface computed using IIM are also second order accurate. The work is the 2015 REU project at NCSU. The examples are for very general 1D interface problems (two-point BVP).

REU-2015 group photo ( Nnenna Anoruo, Kevin Luna, William Reese, Justin Rivera )
Ex1.      Ex2.        Ex3.         IIM_derivative_Report

Matlab Code for polar coordinates with axis-symmetry

Ex1. Ex2. Ex3. IIM_derivative_Polar_Report

Matlab Code for spherical coordinates with radial-symmetry

Ex1. Ex2. Ex3. IIM_derivative_Sphere_Report

Fortran package:

Helmholtz_INTERIOR_Dirichlet Helmholtz_INTERIOR_Neumann