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DMSUITE

20 Dec 1999 (Updated 27 Jun 2003)

No BSD License

MATLAB Differentiation Matrix Suite

File Information

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)

Tags for This File
Everyone's Tags	boundary value problems, differential equations, pseudospectral methods, spectral methods
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Comments and Ratings (22)
16 May 2003	omar chaab	i'm interesting by this method and thanks for the help
27 Jun 2003	Alfonso Bueno	Useful and beautiful codes for solving differential equations with spectral and pseudospectral methods.
16 Aug 2003	michael ross	This stuff is amazing!
16 Dec 2003	Jagjit Singh Thakur Ratan	Excellent !!! Solved lot many problems about differentiation!!!
25 Dec 2003	Ed K.	Great work!!! very useful to understand simple concepts behind the theory & visualize them. Would recommend to any university student.
15 Jan 2004	Mohammad Rahmani	Great Toolbox, Very useful.
21 Jan 2004	Fernando Vadillo	Great Toolbox !, I am using for nonlinear Schrödinge equations.
18 Aug 2004	Peter Pan	Great tools
04 Oct 2004	li qun
23 Feb 2005	Javier Ochoa	I wish whether can help me solving non linear BVP in biotechnology
08 May 2005	Calin Gheorghiu	Excellent tools!
19 Aug 2005	Juan Fernandez	Indispensable for my research!
05 Dec 2005	William Young
08 Apr 2006	Mary Manning	Very useful for performing input/output (transient amplification) analysis of dynamical systems. easy to use, well-documented
27 Nov 2006	Samuel Oliveira	Simple and powerful.
30 Nov 2006	Sante Scuro
30 Jan 2007	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.
31 Jan 2007	Blair Blakie	A great well-thought out library
09 Jul 2007	liam liao	good job; thank you very much.
06 Nov 2007	shufen wang	Thank you very much!!
24 Mar 2008	Richard Collins	Nicely put together package cheers!
01 May 2008	Wondimu Tadiwos	I got your site helping me in my work On FORTRAN sice i am student

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Updates
	modifying description
27 Jun 2003	Added web site, keywords
27 Jun 2003	Added web site address, keywords

Tag Activity for this File
Tag	Applied By	Date/Time
differential equations	J.A.C Weideman	22 Oct 2008 06:30:44
spectral methods	J.A.C Weideman	22 Oct 2008 06:30:44
pseudospectral methods	J.A.C Weideman	22 Oct 2008 06:30:44
boundary value problems	J.A.C Weideman	22 Oct 2008 06:30:44

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