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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年弱 前
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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年弱 前
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Dark Energy Gravitational Waves
Recent theoretical, observational and computational results establish the possibility that gravitational waves produced by...
10年弱 前
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Numerical Computing with MATLAB
Toolbox containing files and app from Numerical Computing with MATLAB
10年弱 前 | ダウンロード 129 件 |
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Piet Hein, Super Ellipses and Soma Cubes
An extraordinarily creative Danish mathematician, inventor, and poet who often wrote under the Old Norse pseudonym...
10年弱 前
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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年弱 前
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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年弱 前
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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...
約10年 前
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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...
約10年 前
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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...
約10年 前
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Testing Zero Finders
Use the historic cubic polynomial $x^3 - 2x - 5$ to test a few zero-finding algorithms. ...
約10年 前
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A Historic Cubic
The cubic polynomial $x^3 - 2x - 5$ has a unique place in the history of numerical methods....
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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...
約10年 前
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Trip Report: SuperComputing 2015
SC15, the International Conference for High Performance Computing, Networking, Storage and Analysis, was held in Austin,...
約10年 前
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Zeroin, Part 3: MATLAB Zero Finder, FZERO
MATLAB adds capability to search for an interval with a sign change....
10年以上 前
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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...
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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...
10年以上 前
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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...
10年以上 前
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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...
10年以上 前
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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...
10年以上 前
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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...
10年以上 前
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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...
10年以上 前
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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...
10年以上 前
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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...
10年以上 前
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ALGOL 60, PL/0 and MATLAB
The 1960 programming language ALGOL 60 influenced the design of many subsequent languages, including C and a miniature...
10年以上 前
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Friedrich Bauer
Fritz Bauer, eminent German computer scientist and last surviving member of the organizing committee of the 1964 Gatlingburg...
10年以上 前
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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...
10年以上 前 | 2
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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...
10年以上 前 | 2
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Accuracy of eig in support of complex step differentation: Derivative estimate accuracy degrades when step gets too small
I have to admit that I am unsure about what is going on here. Complex step differentiation relies upon the unperturbed function...
Accuracy of eig in support of complex step differentation: Derivative estimate accuracy degrades when step gets too small
I have to admit that I am unsure about what is going on here. Complex step differentiation relies upon the unperturbed function...
10年以上 前 | 2
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