Numerical Methods Mathematica

Disclosed are methods to compute the precise value of the logarithm of a sum and the logarithm of a subtraction.A number of practical problems can result in having too big or small values in intermediate values of a calculation. Then one tries to take logarithm of these values and operate on...

This book is written for a first course in numerical linear algebra. It is designed to give students a firm grasp of the basic concepts of roundoff error, stability, condition, and accuracy, as well as an appreciation for the core numerical linear algebra algorithms.For a full book description...

See paper "Minimum settling time control design through direct search methods" (preprint on http://arxiv.org/abs/1109.5966) by the same author.The settling time of a closed-loop response, depending on controller parameters, is an objective function not only non-smooth but actually discontinuous....


Platforms: Matlab

The numerical inversion of the Laplace transform is a long standing problem due its implicit ill-posedness. These functions implement one of the more well known numerical inversion algorithms, the Weeks method. Particularly new here is the use of graphics processing unit [GPU] computing to...


Platforms: Matlab

Active contour methods for image segmentation allow a contour to deform iteratively to partition an image into regions. Active contours are often implemented with level set methods because of their power and versatility. The primary drawback of level set methods is that they are slow to compute....


Platforms: Matlab

This is a MATLAB-implementation of ROCK4 (Abdulle & Medovikov)for the numerical solution of a (mildly) stiff system of first order differential equations ODEs y'=f(t,y).ROCK4 is based on a family of second order explicit Runge-Kutta methods with nearly optimal stability domain on the negative...


Platforms: Matlab

This is a collection of M-files used in the book "Applications of MATLAB: Numerical Solutions", ISBN 9957-32-040-8. by Yasin A. Al Shiboul . This collection comprises:- Examples that illustrate the text;- Programs developed within the text;- Solutions to selected exercises, appearing at the end...


Platforms: Matlab

Monte Carlo methods have long been used in computational finance to solve problems where analytical solutions are not feasible or are difficult to formulate. However, these methods are computationally intensive making it challenging to implement and adopt. In the last decade, advances in...


Platforms: Matlab

Efficient and accurate computation of free baroclinic coastal-trapped waves, using pseudospectral methods, over general depth profiles for arbitrary vertical density profiles in horizontally semi-infinite domains.The methods are described in full in the accompanying paper:E.R. Johnson, J.T....


Platforms: Matlab

This submission is a set of m-files to demonstrate how to take a simple numerical derivative and Hessian of an arbitrary function. Each step in the code is documented. There is a test script included which computes the numerical Hessian of a test function and compares it to a...


Platforms: Matlab

This program simulates a nonlinear dynamical system and estimates the hidden state using particle methods.The program compares the performance of 3 particle methods (particle filter, forward backward smoother (FBS),and Maximum A-Posterior Smoother (MAP).It computes the likelihood and MSE of each...


Platforms: Matlab

Two vein extraction methods as described by Miura et al. for finger vein authentication.Maximum curvature:This method will try to extract the centre lines of the veins. This is done by calculating local maximum curvatures in cross-sectional profiles of a vein image. The method is supposed to be...


Platforms: Matlab

quaternion.m is a matlab class that implements quaternion mathematical operations, 3 dimensional rotations, transformations of rotations among several representations, and numerical propagation of Eulerd-deOaos equations for rotational motion. All quaternion.m class methods except...


Platforms: Matlab

There exists a working prototype called Principia Mathematica II. It is fully capable of first order predicate logic and shows the main features and functionality of Hilbert II. The prototype presents the logic foundation of this project. It works with (prototype) QEDEQ module files located...


Platforms: Mac

The program PEEI 3.0.0.0 calculates a numerical solution of almost all the systems of partial differential equations who have number of equations equal or greater of the number of unknown functions.


Platforms: Windows

NumExp is a family of open-source applications for numerical computation.It is based on a server with the NumExp core functionalities. This server comunicates with potencial clients using a simple Corba interface.


Platforms: *nix, Python, BSD

PDL::GSL::INTEG is a PDL interface to numerical integration routines in GSL. This is an interface to the numerical integration package present in the GNU Scientific Library, which is an implementation of QUADPACK. Functions are named gslinteg_{algorithm} where {algorithm} is the QUADPACK...


Platforms: *nix

ColorExplorer project is a tool for exploring the color space and finding out how colors, color names, and numerical color specifications are related. You can specify a color by selecting its name from a list of color names, by adjusting sliders that control the mixture of red, green, and blue,...


Platforms: *nix

WebService::MusicBrainz is a Perl module that will act as a factory using static methods to return specific web service objects. SYNOPSIS use WebService::MusicBrainz; my $artist_ws = WebService::MusicBrainz->new_artist(); my $track_ws = WebService::MusicBrainz->new_track(); my $release_ws...


Platforms: *nix

Tk::PerlMethodList is a Perl module to query the Symbol-table for methods (subroutines) defined in a class (package) and its parents. SYNOPSIS require Tk::PerlMethodList; my $instance = $main_window->PerlMethodList(); Tk::PerlMethodList is a Tk::Toplevel-derived widget. The window...


Platforms: *nix