Alexander Peter Marquese's Home Page
Links
Numerical methods and programming:
Adjoint differentiation of iterative matrix methods
This short paper states a formal definition of adjoint differentiation used for recurrence relations like the ones used
in iterative matrix methods
Explanation of the fast fourier transform (FFT)
Good explanation of the fast fourier transform (using the Cooley–Tukey algorithm) and also a C++ implementation
FFT in one or more dimensions
Explanation of the FFT in one or more dimensions from the book Numerical Recipes
MATLAB functions for image processing
Some useful and not so useful (like a function to turn an image into ASCII image, is there anything MATLAB can't do?)
MATLAB functions for image processing
SVN book
Great free online book software version control with Subversion
MATLAB notifier
This MATLAB program can send you an email or text message telling you if a program finished running or if there was a runtime error
Compressed sensing with MATLAB
A nice introduction to compressed sensing with MATLAB examples
Chebfun project
An object-oriented (for overloading) MATLAB library that finds solutions to math problems using functions instead of numbers
SAGE
Tutorial for the MATLAB like programming language SAGE. SAGE is like a free, open source version of MATLAB (without the tool boxes)
based on Python and with a more complete and advanced computer algebra system
Numerical methods course
Course site with good introductions to advanced numerical methods topics like; meshing,
smoothed particle hydrodynamics and the finite element method
Interpolation using shape functions
Good paper about interpolating values to a set of points using element shape functions.
Needed for example when measurement results are in equaly spaced points (a grid), but the simulation was done using finite elements.
To compare the results, some kind of interpolation using the simulation mesh is needed.
Computational geometry
Site with pages about computational geometry like how to find if a point is inside a polygon which is used in the above paper.
Fluid mechanics and CFD
Please make a note blog
Blog with very useful information on fluid mechanics and other practical issues like LaTeX
Convergence criteria for CFD
Nice discussion on convergence criteria for CFD codes
Streamlines and vorticity
Good information on streamlines and vorticity
MIT fluid mechanics course
Course site with a lot of flow solutions
Magnetic resonance imaging
MRI tutorial using MATLAB
Brian Hargreaves' site with a good MRI tutorial using MATLAB functions
Miscellaneous sites
Danny Hillis' paper about physically based computer architectures
This paper by
Danny Hillis
talks about how taking into account physics will become (and already is) more relevant in the design of computer hardware
Richard Feynman and the Connection Machine
Nice article about Richard Feynman's work on the Connection Machine
The hydraulic jump as a white hole
A fluid mechanics analoge of a white hole (similar to a black hole) A picture and a simple explanation of this is given in the link below
Fibre-optical analogue of the event horizon
Explanation of a recent experiment where an analoge to Hawking radiation was observed using photonics
Human power technical issues
An archive of the technical journals of the International Human Powered Vehicle Association.
The articles are about small projects carried out by either amateurs or academics.
These projects are about any kind of vehicle that can be human powered; from submarines to airplanes.
Gravity's rainbow
What happens if you place a group of repelling particles of different masses (and in a gravitational field) in a 2d container?
Cellular Automata in Matlab
Good page about programming fast cellular automata type simulations in MATLAB
Reinforcement Learning: An Introduction
Online book about reinforcement learning including Q-learning