DMSUITE

MATLAB Differentiation Matrix Suite

Description

This is a software package consisting of seventeen MATLAB functions for solving differential equations on bounded, periodic, and infinite intervals by the spectral collocation (pseudospectral) method. Additional functions are included for incorporating boundary conditions, performing interpolation using barycentric formulas, and computing roots of orthogonal polynomials. Additional programs demonstrate how to use the package by solving eigenvalue, boundary value, and initial value problems arising in the fields of special functions, quantum mechanics, nonlinear waves, and hydrodynamic stability.

Details are in the accompanying paper, published in
JAC Weideman, SC Reddy, A MATLAB differentiation
matrix suite, ACM Transactions of Mathematical Software,
Vol 26, pp 465-519 (2000).

Web Site:
http://dip.sun.ac.za/~weideman/research/differ.html

Tested under MATLAB R13.

• Acknowledgements: This submission has inspired the following:; Legendre Collocation Differentiation, Pseudospectral Differentiation on an Arbitrary Grid
• MATLAB release: MATLAB 5.2 (R10)

[omar chaab]

i'm interesting by this method and thanks for
the help

[Alfonso Bueno]

Useful and beautiful codes for solving differential equations with spectral and pseudospectral methods.

[michael ross]

This stuff is amazing!

[Jagjit Singh Thakur Ratan]

Excellent !!!
Solved lot many problems about differentiation!!!

[Ed K.]

Great work!!!
very useful to understand simple concepts
behind the theory & visualize them.
Would recommend to any university student.

[Mohammad Rahmani]

Great Toolbox,
Very useful.

[Fernando Vadillo]

Great Toolbox !, I am using for nonlinear Schrödinge equations.

[Peter Pan]

Great tools

[li qun]

 

[Javier Ochoa]

I wish whether can help me solving non linear BVP in biotechnology

[Calin Gheorghiu]

Excellent tools!

[Juan Fernandez]

Indispensable for my research!

[William Young]

 

[Mary Manning]

Very useful for performing input/output (transient amplification) analysis of dynamical systems. easy to use, well-documented

[Samuel Oliveira]

Simple and powerful.

[Sante Scuro]

 

[Adrian Alexandrescu]

 Very good package! However, the function poldif.m fails when the number of nodes (roots) increases (e.g. 500 for Hermite polynomials, 130 for Laguerre polynomials). This is due to the calculation of the entries c(k)/c(j): first, takes the product and afterwards the division. The product produces overflow.

[Blair Blakie]

A great well-thought out library

[liam liao]

good job;
thank you very much.

[shufen wang]

Thank you very much!!

[Richard Collins]

Nicely put together package cheers!

[Wondimu Tadiwos]

I got your site helping me in my work On FORTRAN sice i am student

[liu tao]

excellent!!!!!!!

[David]

Intuitive, well documented and extremely useful!