Scientific Computing MATLAB Toolbox

This repository contains a collection of MATLAB scripts implementing various computational methods.
The folder structure of this repository is the following:

SciComput-MATLAB
├── ddm                  <-- Domain Decomposition Methods / Preconditioners
├── ddm_time             <-- Domain Decomposition in Time
├── eigen                <-- Eigenvalue Computations
├── fdm                  <-- Finite Difference Method
├── fem                  <-- Finite Element Method
├── integration          <-- Numerical Integration Methods
├── krylov               <-- Krylov Subspace Methods
├── low_rank_approx      <-- Low-Rank Matrix Approximation Methods
├── meshless             <-- Meshless Method
├── multigrid            <-- Multigrid Method
├── newton_krylov        <-- Newton-Krylov Method
├── nystrom              <-- Nystrom Method
└── spai                 <-- Sparse Approximate Inverse

Documentation

• In each folder there is a separate README describing the use of every script / function in that folder.
• Also, in the doc A Study of Advanced Computational Methods.pdf, there are various related analyses and results.

Installation

• First, install the METIS graph partitioning tool from here.
• Then, download the Scientific Computing Toolbox, by running the command:

git clone https://github.com/ntselepidis/SciComput-MATLAB.git # Download Scientific Computing Toolbox

• And finally, set the MATLAB path by executing the set_path.m script.