Pubblicato
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...
quasi 10 anni fa
Pubblicato
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...
quasi 10 anni fa
Pubblicato
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...
circa 10 anni fa
Pubblicato
Dark Energy Gravitational Waves
Recent theoretical, observational and computational results establish the possibility that gravitational waves produced by...
circa 10 anni fa
Inviato
Numerical Computing with MATLAB
Toolbox containing files and app from Numerical Computing with MATLAB
circa 10 anni fa | 96 download |
Pubblicato
Piet Hein, Super Ellipses and Soma Cubes
An extraordinarily creative Danish mathematician, inventor, and poet who often wrote under the Old Norse pseudonym...
circa 10 anni fa
Pubblicato
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...
circa 10 anni fa
Pubblicato
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...
circa 10 anni fa
Pubblicato
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...
circa 10 anni fa
Pubblicato
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...
circa 10 anni fa
Pubblicato
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...
circa 10 anni fa
Pubblicato
Testing Zero Finders
Use the historic cubic polynomial $x^3 - 2x - 5$ to test a few zero-finding algorithms. ...
oltre 10 anni fa
Pubblicato
A Historic Cubic
The cubic polynomial $x^3 - 2x - 5$ has a unique place in the history of numerical methods....
oltre 10 anni fa
Pubblicato
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...
oltre 10 anni fa
Pubblicato
Trip Report: SuperComputing 2015
SC15, the International Conference for High Performance Computing, Networking, Storage and Analysis, was held in Austin,...
oltre 10 anni fa
Pubblicato
Zeroin, Part 3: MATLAB Zero Finder, FZERO
MATLAB adds capability to search for an interval with a sign change....
oltre 10 anni fa
Pubblicato
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...
oltre 10 anni fa
Pubblicato
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...
oltre 10 anni fa
Pubblicato
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...
oltre 10 anni fa
Pubblicato
Trip Report: Trefethen Birthday Conference
"New Directions in Numerical Computation" was a conference in celebration of Nick Trefethen's 60th birthday held August...
oltre 10 anni fa
Pubblicato
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...
oltre 10 anni fa
Pubblicato
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...
oltre 10 anni fa
Pubblicato
Discover e with a graphical experiment
An interactive graphical experiment lets you discover the value of one of the most important numerical quantities in...
oltre 10 anni fa
Pubblicato
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...
oltre 10 anni fa
Pubblicato
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...
quasi 11 anni fa
Pubblicato
ALGOL 60, PL/0 and MATLAB
The 1960 programming language ALGOL 60 influenced the design of many subsequent languages, including C and a miniature...
quasi 11 anni fa
Pubblicato
Friedrich Bauer
Fritz Bauer, eminent German computer scientist and last surviving member of the organizing committee of the 1964 Gatlingburg...
quasi 11 anni fa
Risposto
Accuracy of eig in support of complex step differentation: Derivative estimate accuracy degrades when step gets too small
I had forgotten about Nick Higham's comment after my blog post referencing his paper, "The complex step approximation to the Fr...
Accuracy of eig in support of complex step differentation: Derivative estimate accuracy degrades when step gets too small
I had forgotten about Nick Higham's comment after my blog post referencing his paper, "The complex step approximation to the Fr...
quasi 11 anni fa | 2
Risposto
Accuracy of eig in support of complex step differentation: Derivative estimate accuracy degrades when step gets too small
But you should not have to resort to complex step differentiation because an analytic expression for the derivative of an eigenv...
Accuracy of eig in support of complex step differentation: Derivative estimate accuracy degrades when step gets too small
But you should not have to resort to complex step differentiation because an analytic expression for the derivative of an eigenv...
quasi 11 anni fa | 2