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Mathematical Institute

New Examples

Analytic continuation via rational approximation

Nick Trefethen, 6th March 2013

A Bouncing Ball

Filomena Di Tommaso, February 26th, 2013

Splines

Nick Trefethen, 26th February 2013



Surfaces of revolution

Georges Klein, 4th March 2013

Computing common roots of two bivariate functions

Yuji Nakatsukasa, Vanni Noferini, and Alex Townsend, 6th February 2013

Conformal map to a square

Toby Driscoll, 28th January 2013



Koch Snowflake

Anthony Austin, 27th November 2012

Interactive Interpolation

Nick Hale, 21st November 2012

Rounding Corners by Convolution

Nick Trefethen, 20th November 2012



Rouche's Theorem

Anthony Austin, 18th November 2012

Arc length in the complex plane

Kuan Xu, 5th November 2012

Optimizing a bird's flight path

Toby Driscoll, 1st November 2012



Optimal bet-sizing and the Kelly Criterion

Mark Richardson, 24th October 2012

Newton's Method

Kuan Xu, 24th October 2012

Mean Value Theorem

Kuan Xu, 23rd October 2012



Definite and Indefinite Integrals

Nick Trefethen, 23rd October 2012

Dawson's integral

Kuan Xu, 17th October 2012

Spectral radius of the SOR iteration matrix

Nick Trefethen, 16th October 2012



Illustrating the mathematics of signal processing in Chebfun

Mohsin Javed, 24th August, 2012

Resonance exploited by Carrier and Pearson's vandal

Nick Trefethen, 12th August 2012

The Birthday Paradox

Mohsin Javed, Alex Townsend, and Nick Hale, LNT's birthday, 2012



Delta functions and derivatives

Nick Trefethen, 1st August 2012

Absolute value approximations by rationals 2

Yuji Nakatsukasa, 31st July 2012

Implicit functions and fun with contours

Stefan Güttel, 30th July 2012



Implicit functions and fun with contours

Stefan Güttel, 30th July 2012

Central Limit Theorem

Nick Trefethen and Mohsin Javed, 30th July 2012

B-splines and convolution

Nick Trefethen, 24th July 2012



Rational approximation to the exponential in a complex region

Yuji Nakatsukasa and Stefan Güttel, 23rd July 2012

Mercury-Earth minimum separation

Tonatiuh Sanchez-Vizuet and Matthew Moye, 19th June 2012

Mercury-Earth Conjunctions

Tonatiuh Sanchez-Vizuet and Matthew Moye, 17th June 2012



Quadrature convergence rates for differentiable functions

Nick Trefethen, 13th June 2012

Exact Chebyshev expansion coefficients of a function

Mark Richardson, 13th June 2012

Lee and Greengard ODE examples

Nick Trefethen, 12th June 2012



Restricted-denominator approximations

Stefan Güttel, 18th April 2012

Delta and Heaviside Hyperfunctions

Mohsin Javed, 17th April 2012

Encryption of a message with SCRIBBLE

Nick Trefethen, 10th April 2012



MathJax introduction

Nick Hale, 5th March 2012

Happy Valentines Day!

Anonymous, 14th February 2012

The mystery of Bernoulli polynomials

Stefan Güttel, 8th February 2012



Eigenstates of the Schrödinger equation

Nick Trefethen, 25th January 2012

A parameter dependent ODE with breakpoints

Asgeir Birkisson, 25th January 2012

Singular value decomposition of compact operators: A tool for computing frequency responses of PDEs

Binh K. Lieu and Mihailo R. Jovanovic, 6th January 2012



Mercer's theorem and the Karhunen-Loeve expansion

Toby Driscoll, 20th December 2011

Generalized polynomial chaos

Toby Driscoll, 16th December 2011

Stochastic collocation for Burgers' equation

Toby Driscoll, 14th December 2011



Merry Christmas!

Stefan Güttel & Nick Hale, 13th December 2011

The nullspace of a linear operator

Nick Hale & Stefan Güttel, 12th December 2011

Resampling of random variables

Toby Driscoll, 8th December 2011



A greedy algorithm for choosing interpolation points

Nick Trefethen, 27 November 2011

Jump Conditions in BVPS

Nick Hale, 25th November 2011

Piecewise operators demo

Nick Hale, 25th November 2011



Automatic differentiation in Chebfun

Asgeir Birkisson, 16th November 2011

Orbiting around fixed stars

Nick Trefethen, 16th November 2011

Can one hear the shape of a chebfun?

Stefan Güttel, 9th November 2011



Gauss quadrature nodes and weights

Nick Hale, 8th November 2011

Stability of a thermoelastic rod

Toby Driscoll, 8th November 2011

Roots of random polynomials

Nick Trefethen, 6th November 2011



The white curves of Ortiz and Rivlin

Stefan Guettel, 2nd November 2011

Orthogonal polynomials via the Lanczos process

Pedro Gonnet, 1st November 2011

Time independent Black-Scholes with jumps

Alex Townsend, 28th October 2011



Complex roots near the real axis

Nick Trefethen, 26th October 2011

Nonstandard 'boundary' conditions

Asgeir Birkisson, 18th October 2011

An ellipse rolling around another ellipse

Nick Trefethen, 18th October 2011



Optimization of a parameterised integral

Nick Hale, 17th October 2011

Chebyshev interpolation of oscillatory entire functions

Mark Richardson, 4th October 2011

Least-squares data fitting and POLYFIT

Nick Trefethen, 1st October 2011




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