Published

Math and Music
What does $\sqrt[12]{2}$ have to do with music? What are equal temperament and just intonation? How can the MATLAB...

10 years ago

Published

Modernization of Numerical Integration, From Quad to Integral
The MATLAB functions for the numerical evaluation of integrals has evolved from quad, through quadl and quadgk, to today's...

10 years ago

Published

Strang and Moler Video Course on Differential Equations
Gil Strang has produced a MOOC-style video course on Differential Equations and Linear Algebra. I have added some videos...

10 years ago

Published

Further Twists of the Moebius Strip
The equations generating a surf plot of the Moebius strip can be parameterized and the parameters allowed to take on...

10 years ago

Published

The Eigenwalker Model of the Human Gait
A model of the human gait, developed by Nikolaus Troje, is a five-term Fourier series with vector-valued coefficients that...

10 years ago

Published

Dark Energy Gravitational Waves
Recent theoretical, observational and computational results establish the possibility that gravitational waves produced by...

10 years ago

Submitted

Numerical Computing with MATLAB
Toolbox containing files and app from Numerical Computing with MATLAB

10 years ago | 75541 downloads |

4.9 / 5

Published

Piet Hein, Super Ellipses and Soma Cubes
An extraordinarily creative Danish mathematician, inventor, and poet who often wrote under the Old Norse pseudonym "Kumbel"...

10 years ago

Published

Investigating the Classic Crossed Ladders Puzzle
Today's blog post is a complete working MATLAB program investigating the crossed ladders problem. Download a copy of the...

10 years ago

Published

The Classic Crossed Ladders Puzzle
Here is a classic puzzle. A pair of ladders leaning against the sides of an alley form a lopsided cross. Each ladder is...

10 years ago

Submitted

Experiments with MATLAB
Apps from Experiments with MATLAB

10 years ago | 24896 downloads |

4.9 / 5

Published

How Many Times Should You Shuffle the Cards?
We say that a deck of playing cards is completely shuffled if it is impossible to predict which card is coming next when...

10 years ago

Published

Perfect Shuffles of Playing Cards
When a deck of playing cards is shuffled perfectly, the result is not random. A perfect shuffle places the cards in a...

10 years ago

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Fractal Global Behavior of Newton’s Method
When the starting point of Newton's method is not close to a zero of the function, the global behavior can appear to be...

10 years ago

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Testing Zero Finders
Use the historic cubic polynomial $x^3 - 2x - 5$ to test a few zero-finding algorithms. ...

10 years ago

Published

A Historic Cubic
The cubic polynomial $x^3 - 2x - 5$ has a unique place in the history of numerical methods....

11 years ago

Published

John Todd, Savior of Oberwolfach
This is the story of how John Todd saved what was to become one of the world's most important research institutions from...

11 years ago

Published

Trip Report: SuperComputing 2015
SC15, the International Conference for High Performance Computing, Networking, Storage and Analysis, was held in Austin,...

11 years ago

Published

Zeroin, Part 3: MATLAB Zero Finder, FZERO
MATLAB adds capability to search for an interval with a sign change....

11 years ago

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Zeroin, Part 2: Brent’s Version
Richard Brent's improvements to Dekker's zeroin algorithm, published in 1971, made it faster, safer in floating point...

11 years ago

Published

Zeroin, Part 1: Dekker’s Algorithm
Th. J. Dekker's zeroin algorithm from 1969 is one of my favorite algorithms. An elegant technique combining bisection and...

11 years ago

Published

Charles Lawson, 1931 – 2015
Chuck Lawson passed away in July at the age of 83. Chuck was one of the people who introduced me to computing and...

11 years ago

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Trip Report: Trefethen Birthday Conference
"New Directions in Numerical Computation" was a conference in celebration of Nick Trefethen's 60th birthday held August...

11 years ago

Published

Golub Matrices, Deceptively Ill Conditioned
I got the idea for these test matrices from Gene Golub years ago, but the mathematical foundation comes from a paper by...

11 years ago

Published

Tumbling Box ODE
A rectangular box, such as a book or a cell phone, thrown in the air can tumble stably about its longest axis, or about its...

11 years ago

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Discover e with a graphical experiment
An interactive graphical experiment lets you discover the value of one of the most important numerical quantities in...

11 years ago

Published

Trip Report: NACONF 2015 and Sparse Days III
I have just returned from two meetings in Europe, the 26th Biennial Conference on Numerical Analysis at the University of...

11 years ago

Published

Dubrulle Creates A Faster Tridiagonal QR Algorithm
Augustin (Austin) Dubrulle deserves to be better known in the numerical linear algebra community. His version of the...

11 years ago

Published

ALGOL 60, PL/0 and MATLAB
The 1960 programming language ALGOL 60 influenced the design of many subsequent languages, including C and a miniature...

11 years ago

Published

Friedrich Bauer
Fritz Bauer, eminent German computer scientist and last surviving member of the organizing committee of the 1964 Gatlingburg...

11 years ago