Applications of Chaos and Nonlinear Dynamics in Engineering - Vol. 1 by Stephen Lynch

Lynch files to accompany the book. (modeling, simulink, mathematics)

sys=Hopf_System(~,x)

xdot=Chem(~,x)

xdot=Duffing(t,x)

LAI by Erwin Torreao Dassen

A linear algebra over the integers package based on layered lattices. (mathematics, lattices, linear algebra)

LAI

FELICITY by Shawn Walker

Finite ELement Implementation and Computational Interface Tool for You (finite element method, modeling, mathematics)

Coarse_Square_Codim_1()

CompareFiles(File1,File2)

Convert_Interp_script_to_MEX(Main_Dir,Iscript,MEX_FileName)

Dynamical Systems with Applications using MATLAB by Stephen Lynch

Companion Software. (chaos, nonlinear, mathematics)

Program_5c(~)

Programs_17a

Programs_17b

Gaussian Elimination & Inverse Matrix Finder by Mohammed Al-Mostafa

Gaussian Elimination with pivoting& Inverse Matrix Finder using determinant and Gaussian elimination (matrix, mathematics)

Numerical.m

MathExplorer: Learning Maths using MuPAD for Engineering Students by Martin Brown

A set of MuPAD notebooks which allow engineering students to visualize and experiment with maths. (mathematics, learning mathematics, symbolic maths)

sexy by Naor Movshovitz

Display a symbolic expression in a human readable form. Extension of the built-in pretty function. (symbolic math, pretty, symolic expression)

sexy(s)

Newton's method done right by Andrew Knyazev

Newton's method for solving systems of nonlinear equations, including nonsquare and inconsistent (demo, newton, modeling)

Newton(X,F,X0,varargin)

NewtonDemoRunMe.m

MATLAB en zijn Symbolic Math Toolbox by Tjibbele Miedema

Leergang voor geïnteresseerden in de Computeralgebra - Systemen MATLAB en zijn Symbolic Math Toolbox (mathematics)

Angl_Vectors(R, S)

Are_Orthogonal(R, S)

Area(r)

Display symbolic expression in web browser. by Joerg Buchholz

CUTE(EXPRESSION) displays the symbolic (or string) EXPRESSION in the standard web browser. (display, symbolic, latex)

cute (expression)

ODE Tutorial Demo by Andrew Knyazev

Advanced examples of using the MATLAB Symbolic Math Toolbox for Ordinary Differential Equations (ode, symbolic, movies)

ODEtutorial.m

Jury's array in symbolic way by Carlos Mario Velez Sanchez

The function gives the Jury's array from a numerical or SYMBOLIC polynomial (includes special cases) (control design, mathematics, stability)

jury.m

pmap - Parameter Space Stability Mapping Suite by Michael Knap

Finds the Hurwitz stability region in a parameter space of a continuous time system. (control design, mathematics, data exploration)

A Walkthrough of using the pmap suite

Stable=pmap_calc(varargin)

pmap(varargin)

Marine Automatics by Mateusz Blonski

Simulation models of marine automatics elements library for MATLAB/Simulink (control design, mathematics, simulation)

slblocks

Demo1c1.m

Demo2c1.m

Ezimplot3: implicit 3D functions plotter by Gustavo Morales

Plots a 3D surface defined implicitly (3d ezplot, implicit functions, specialized plotting)

ezimplot3(varargin)

newt by Gabriel Frangakis

This function quickly preforms Newton's method on a vector function of multiple variables. (mathematics, newton, method)

newt(er,varargin)

secant method in nonlinear ode by Kalyan Bhattacharjee

this will find the solution of U''=k*U*U' by using taylor series 3rd order and secant method (simulation, taylor, ode)

math1.m

secant.m

Newton-Raphson Method for Non-linear System of 3 variables by Jesus Hernandez

Newton Method to solve non-linear (also linear) systems of 3 variables.Very amicable (mathematics, roots)

newton3v1.m

SDamala Toolbox by Angélica María Atehortúa Labrador

Dynamical systems Toolbox, for simulation and analysis dynamical systems deterministic (bifurcation diagram, phase portrait, dynamical systems)

About(varargin)

TC_bifur

[T,Res]=tc_explyapunov(f,to,dt,tf,ystart,ioutp)

Symbolic Matrix by Zachary Danziger

Creates a matrix composed of properly indexed symbolic elements. (mathematics, linear algebra, symbolic math)

symMat(dims,Mname,type)

Lagrange polynomial by Ernesto Momox Beristain

Lagrange form of the interpolation polynomial (interpolation, lagrange, polynomial)

coefficient(x,y,L)

show_polinterp(x,y)

Custom solution for 3 non-linear simultaneous equations by Bruce Raine

Solves one type of non-linear system of 3 simultaneous equations in 3 unknowns. (mathematics, symbolic math toolbox, nonlinear equations)

symsolvenonlineq(n,degrees,dinput)

Solves a custom set of linear simultaneous equations by Bruce Raine

This solution is for a student (Yvonne) (mathematics, symbolic math toolbox, solve)

symsolveequations.m

Solving non-linear (and linear) simultaneous equations with 'solve' - version 2 by Bruce Raine

symsolvesimulv2.m solves non-linear and linear (or a mix of) simultaneous equations. (mathematics, nonlinear, linear)

symsolvesimulv2(exp,coeffconsts)

Solving non-linear (and linear) simultaneous equations with 'solve' by Bruce Raine

symsolvesimul.m solves non-linear and linear (or a mix of) simultaneous equations. (solve, mathematics, nonlinear)

symsolvesimul(exp,coeffconsts)

Mullers method for polynmial root finding. by Chandan

Finds root of a polynomial numerically even if it is complex. (mullers method, root finding, polynomial root findi...)

Muller()

Newton Raphson method for Transcendental equations by Chandan

Evaluates the root of transcendental equation using Newton Raphson Method. (mathematics, newton raphson method, transcendental equati...)

NR_Transcendental()

Tan_plane: Tangent Plane Expression & Display by Gustavo Morales

Calculates the tangent plane of a Surface at point Xo and plots the surface, plane and Xo! (symbolic calculus, implicit plot, especialized plots)

Steepest Decent Method by Duc

Solves a multi-variable unconstrained optimization problem using the Steepest Decent Method (mathematics)

alphaVal=fminimum(phiAlpha1)

realVT=removeComplexVals(complexVT)

GradientAlgorithm.m

sym2str by Martin Lawson

Converts symbolic variables to matlab strings using array opperations. (symbolic math, symbolic variables, mathematics)

sym2str(sy)

smartnonlinrgen by Ali Mohammad Razeghi

finds the roots of a set of nonlinear equations (mathematics, root, nonlinear)

smartnonlinrgen ( funcvec , xold , es , maxit )

Signal_Flow_Graphz by Huaichen Chen

This function solves equations of complex linear systems using matrix moleling and inversion (control design, mathematics, signal processing)

sys=sigflow(Q,P)

P_1.m

P_1a.m

smartconvert by Ali Mohammad Razeghi

Tries to find a set of coordinates that function has simple relations between variables or finds the (convert, simple, function)

smartconvert ( func , cla , p1 , p2 )

newton_raphso by Ali Mohammad Razeghi

uses Newton-Raphson method ( modified ) to find the root of a function (root, root finding, newton)

newton_raphso ( func , xr , n , es , maxit )

SYM2POLYS by Mukhtar Ullah

Improved version of Sym2Polys (by Paul Godfrey). (symbolic math, symbolic coefficients, multivariate polynomi...)

sym2polys(p,x)

scm by Reinaldo Mauricio do Nascimento

Robotic Manipulator Kinematics (symbolic math, manipulating robot, dh parameters)

geo(a,b)

h2j(H,v,o)

hrx (c,o)

DIRDIFF by Mukhtar Ullah

Directional derivative (symbolic math, directional derivativ..., symbolic)

dirdiff(X,f,p)

Gauss-Legendre by Jordi Soler Penades

Numericaly evaluates integral using Gauss-Legendre quadrature method. (legendre, gauss, integration)

I=gausslege(f,a,b,n)

p=polegende(n)

y=flege(f,a,b)

Introduction to Linear Algebra by Gilbert Strang

Companion Software (mathematics, linear algebra, theory)

BASIS(A)

addvec(v,w)

atimesv(a,v)

Calculate PI with Gauss-Legendre by Daniel Serrano

Calculate pi to "c" decimal places using the Gauss-Legendre algorithm. (approximation, interpolation, gausslegendre)

digi=pigl(c,out)