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A MATLAB Differentiation Matrix Suite Update Link / Bad Link? 
This is a software suite designed for MATLAB 5 consisting of seventeen functions for solving differential equations by the spectral collocation (a.k.a. pseudospectral) method. It includes functions for computing differentiation matrices of arbitrary order corresponding to Chebyshev, Hermite, Laguerre, Fourier, and sinc interpolants. It also includes FFT-based routines for Fourier, Chebyshev and sinc differentiation. Auxiliary functions are included for incorporating boundary conditions, performing interpolation using barycentric formulas, and computing roots of orthogonal polynomials.
Submitted Aug 12, 1999
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Biharmonic Equation Update Link / Bad Link? 
The biharmonic equation is used to model the deflections arising in two dimensional rectangular orthotropic symmetric laminate plates. The plate can be subjected to external perpendicular force(q) and one is interested in the resulting deflections. Various boundary conditions can be applied to the problem. The edges can be simply supported, clamped, or free. In this work, an automatic procedure is defined which produces the difference equations for each edge boundary case. The procedure is illustrated, using MATLAB, with numerical results for problems with and without exact analytical solutions. We define an automatic procedure to generate the difference equations for approximating the solution to the biharmonic equation under various boundary conditions.
Submitted Jul 03, 1999
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cumsimp.m Update Link / Bad Link? 
Simpson-rule column-wise cumulative summation. Numerical approximation of a function F(x) such that Y(X) = dF/dX.
Submitted Jul 19, 1999
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deriv.m Update Link / Bad Link? 
Column-wise derivative estimation. Computes 5-point discrete derivative estimates for each column of the input matrix U.
Submitted Jul 19, 1999
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DFIELD, PPLANE Update Link / Bad Link? 
The programs DFIELD and PPLANE are described in some detail in the manual Ordinary Differential Equations using MATLAB. There are several versions of the software available for use with various editions of MATLAB.
Submitted Jan 31, 1999
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DiffMan Update Link / Bad Link? 
DiffMan is a MATLAB toolbox for solving ordinary differential equations on manifolds, based on the concept of 'Coordinate Free Numerics'. This is, loosely speaking, the idea that (whenever possible) it is important to formulate numerical algorithms generically, independently of special representations and coordinate systems. DiffMan inherits its basic design philosophy from the C++ package SOPHUS.
Submitted Jul 20, 1999
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GABLE: A MATLAB Geometric Algebra Tutorial Update Link / Bad Link? 
This page contains the MATLAB software and the PostScript and PDF versions of a tutorial for learning Geometric Algebra. This tutorial is aimed at the sophomore college level, although it may provide a gentle introduction to anyone interested in the topic.
Submitted Nov 10, 2003
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Push bound Update Link / Bad Link? 
The push bound problem is a very interesting one. When we push at a plate, sometime all of the plate goes ahead, sometime some place bounds. C. V. Coffman and R. J. Duffin[1], R. J. Duffin[2] and P. R. Garabedian[3] did some good work in this field. Here, what we are considering is, for square plates, when we push at a given point, which points will bound. Using difference method and MATLAB, we deal with common material (like glass, steel, ...) and composite material square plates.
Submitted Jul 03, 1999
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quadr.m,quads.m Update Link / Bad Link? 
m-files for 1-dimensional integration which are faster, more reliable and more universal than those currently available. They are both vectorized in the best MATLAB sense while fully adaptive to local function behavior.
Submitted Jul 18, 1999
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Solving DDEs with MATLAB Update Link / Bad Link? 
The information on this page deals with the solution of delay differential equations (DDEs) with constant delays using MATLAB . Included are a tutorial on using the MATLAB dde23 solver to solve DDES, a manuscript containing technical details for the solver, and a manuscript dealing with the event location procedures used in dde23. In addition, the necessary M-files for the solver as well as the M-files for the problems discussed in the tutorial are available.
Submitted Apr 11, 2000
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