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Mathematical Institute

Chebfun Examples listing

Here is the complete list of Chebfun Examples and the sections they belong to.

1D subdivision and the average degree reduction roots (html, PDF, M-file)
2D subdivision and the average degree reduction roots (html, PDF, M-file)
Abscissa of the linearized Vlasov-Poisson operator integro (html, PDF, M-file)
Absolute value approximations by rationals approx (html, PDF, M-file)
Absolute value approximations by rationals 2 approx (html, PDF, M-file)
Adding Together Bump Functions approx (html, PDF, M-file)
Advection-diffusion equation with a jump ode (html, PDF, M-file)
An Allen-Cahn equation with continuation ode (html, PDF, M-file)
Allen-Cahn metastability pde (html, PDF, M-file)
Analytic continuation via rational approximation complex (html, PDF, M-file)
ANGLE, UNWRAP, and branches of complex chebfuns complex (html, PDF, M-file)
Approximation of piecewise linear functions (& chebsnake!) fun (html, PDF, M-file)
Approximations and Oscillation of Error approx (html, PDF, M-file)
Arc length in the complex plane complex (html, PDF, M-file)
Area and centroid of a 2D region geom (html, PDF, M-file)
Automatic differentiation in Chebfun ode (html, PDF, M-file)
B-splines and convolution approx (html, PDF, M-file)
Battery test of Chebfun as an integrator quad (html, PDF, M-file)
Bernstein polynomials approx (html, PDF, M-file)
Best $L^2$ approximation in Chebfun approx (html, PDF, M-file)
Best approximation with the Remez command approx (html, PDF, M-file)
Beta Distribution -- Exercises from a Textbook stats (html, PDF, M-file)
Birthday cards and analytic functions fun (html, PDF, M-file)
The Birthday Paradox fun (html, PDF, M-file)
The Bivariate Normal Distribution stats (html, PDF, M-file)
BLOODHOUND Supersonic Car ode (html, PDF, M-file)
Blowup equation (Frank-Kamenetskii) ode (html, PDF, M-file)
A Bouncing Ball ode (html, PDF, M-file)
Bouncing photon, Sinai billiards geom (html, PDF, M-file)
Boundary layer for advection-diffusion equation ode (html, PDF, M-file)
Can one hear the shape of a chebfun? fun (html, PDF, M-file)
Carrier equation ode (html, PDF, M-file)
The catenary problem from the calculus of variations opt (html, PDF, M-file)
Central Limit Theorem stats (html, PDF, M-file)
Chebfun Soccerball fun (html, PDF, M-file)
Chebfun2 objects on non-rectangular domains approx (html, PDF, M-file)
Chebyshev coefficients approx (html, PDF, M-file)
Chebyshev interpolation of oscillatory entire functions approx (html, PDF, M-file)
Chebyshev polynomials as plotted by Higham and Higham approx (html, PDF, M-file)
Checking vector calculus veccalc (html, PDF, M-file)
Classification of linear dynamical systems veccalc (html, PDF, M-file)
Complex roots near the real axis roots (html, PDF, M-file)
Computing common roots of two bivariate functions roots (html, PDF, M-file)
Condition numbers of various bases linalg (html, PDF, M-file)
Conformal map to a square complex (html, PDF, M-file)
Constrained Optimization in Chebfun opt (html, PDF, M-file)
Convergence rates for interpolating functions approx (html, PDF, M-file)
Coupled system of reaction-diffusion equations pde (html, PDF, M-file)
Dawson's integral ode (html, PDF, M-file)
Definite and Indefinite Integrals calc (html, PDF, M-file)
Delta and Heaviside Hyperfunctions complex (html, PDF, M-file)
Delta functions and derivatives calc (html, PDF, M-file)
Delta Functions and ODEs ode (html, PDF, M-file)
Digital Filters via CF Approximation approx (html, PDF, M-file)
The Dixon-Szego function in 2D optimisation opt (html, PDF, M-file)
Does a chebfun of degree n have n roots? roots (html, PDF, M-file)
Double-well Schrödinger eigenstates ode-eig (html, PDF, M-file)
A Drowning Man and Snell's Law calc (html, PDF, M-file)
Dual points, lines, polygons and curves geom (html, PDF, M-file)
Eigenstates of the Schrödinger equation ode-eig (html, PDF, M-file)
Eigenvalue level repulsion linalg (html, PDF, M-file)
Eigenvalues of the Fox-Li integral operator integro (html, PDF, M-file)
An ellipse rolling around another ellipse geom (html, PDF, M-file)
Encryption of a message with SCRIBBLE fun (html, PDF, M-file)
Event handling in Chebfun2v veccalc (html, PDF, M-file)
Exact Chebyshev expansion coefficients of a function approx (html, PDF, M-file)
Exact solutions of some ODEs ode (html, PDF, M-file)
Exponential Distribution -- Exercises from a Textbook stats (html, PDF, M-file)
Extrema of a complicated function opt (html, PDF, M-file)
A fast Chebyshev-Legendre transform approx (html, PDF, M-file)
The FFT in Chebfun approx (html, PDF, M-file)
Field of values and numerical abscissa linalg (html, PDF, M-file)
Four bugs on a rectangle ode (html, PDF, M-file)
Fourier Transforms using Contour Integrals complex (html, PDF, M-file)
Fractional calculus in Chebfun integro (html, PDF, M-file)
Frequencies of a drum ode-eig (html, PDF, M-file)
The gamma function and its poles approx (html, PDF, M-file)
Gauss and Clenshaw-Curtis quadrature quad (html, PDF, M-file)
Gauss quadrature nodes and weights quad (html, PDF, M-file)
Generalized polynomial chaos stats (html, PDF, M-file)
The global minimum of a complicated function opt (html, PDF, M-file)
Gravitational force between two cubes quad (html, PDF, M-file)
A greedy algorithm for choosing interpolation points approx (html, PDF, M-file)
Half-wave rectifier ode (html, PDF, M-file)
Halphen's constant for approximation of exp(x) approx (html, PDF, M-file)
Happy Valentines Day! fun (html, PDF, M-file)
Happy Valentines Day! (again) fun (html, PDF, M-file)
Heat equation via EXPM pde (html, PDF, M-file)
Hello World fun (html, PDF, M-file)
A Hilbert curve on a surface and Chebsnake2 fun (html, PDF, M-file)
Histogram from function or data stats (html, PDF, M-file)
Illustrating the mathematics of signal processing in Chebfun approx (html, PDF, M-file)
Implicit functions and fun with contours fun (html, PDF, M-file)
Interactive Interpolation approx (html, PDF, M-file)
Jump Conditions in BVPS ode (html, PDF, M-file)
A keyhole contour integral complex (html, PDF, M-file)
Koch Snowflake fun (html, PDF, M-file)
Lane-Emden equation from astrophysics ode (html, PDF, M-file)
Least-squares data fitting and POLYFIT stats (html, PDF, M-file)
Lebesgue functions and Lebesgue constants approx (html, PDF, M-file)
Lee and Greengard ODE examples ode (html, PDF, M-file)
Linear EXP initial-value problem ode (html, PDF, M-file)
Linear sine/cosine initial-value problem ode (html, PDF, M-file)
Lissajous curves geom (html, PDF, M-file)
Local complexity of a function approx (html, PDF, M-file)
Logistic map and chaos ode (html, PDF, M-file)
Lorenz Attractor in the Complex Plane using RATINTERP ode (html, PDF, M-file)
Marching Squares roots (html, PDF, M-file)
Matched asymptotics and boundary layers ode (html, PDF, M-file)
MathJax introduction fun (html, PDF, M-file)
Maxwell Distribution -- Exercises from a Textbook stats (html, PDF, M-file)
Maxwell's equations pde (html, PDF, M-file)
Mean Value Theorem calc (html, PDF, M-file)
Mercer's theorem and the Karhunen-Loeve expansion stats (html, PDF, M-file)
Mercury-Earth Conjunctions linalg (html, PDF, M-file)
Mercury-Earth minimum separation opt (html, PDF, M-file)
Merry Christmas! fun (html, PDF, M-file)
Model of a quantum dot array for solar energy ode-eig (html, PDF, M-file)
Multiple BVP solutions by solving an IVP ode (html, PDF, M-file)
The mystery of Bernoulli polynomials roots (html, PDF, M-file)
Needle on a corrugated surface opt (html, PDF, M-file)
A new bivariate rootfinder in Chebfun2 based on Bezout resultants roots (html, PDF, M-file)
Newton's Method roots (html, PDF, M-file)
Nonlinear ODE modeling solar magnetic fields ode (html, PDF, M-file)
Nonnormality quiz from Trefethen and Embree linalg (html, PDF, M-file)
Nonstandard 'boundary' conditions ode (html, PDF, M-file)
Normal Distribution -- Exercises from a Textbook stats (html, PDF, M-file)
The nullspace of a linear operator ode-eig (html, PDF, M-file)
Optimal bet-sizing and the Kelly Criterion stats (html, PDF, M-file)
Optimization of a parameterised integral opt (html, PDF, M-file)
Optimizing a bird's flight path calc (html, PDF, M-file)
Orbiting around fixed stars ode (html, PDF, M-file)
Orr-Sommerfeld eigenvalues ode-eig (html, PDF, M-file)
Orthogonal polynomials via the Gram-Schmidt process approx (html, PDF, M-file)
Orthogonal polynomials via the Lanczos process approx (html, PDF, M-file)
An oscillatory integral quad (html, PDF, M-file)
A parameter dependent ODE with breakpoints ode (html, PDF, M-file)
Parameter-dependent ODEs: Three examples ode (html, PDF, M-file)
Parametric Surfaces geom (html, PDF, M-file)
A pathological function of Weierstrass approx (html, PDF, M-file)
Perimeter of an ellipse geom (html, PDF, M-file)
A periodic ODE system ode (html, PDF, M-file)
Phase Portraits complex (html, PDF, M-file)
Phase portraits and trajectories veccalc (html, PDF, M-file)
Phase Portraits for Functions with Poles complex (html, PDF, M-file)
Piecewise operators demo ode (html, PDF, M-file)
Polynomial basis for Hermite interpolation approx (html, PDF, M-file)
Polynomial eigenproblems with differential operators ode-eig (html, PDF, M-file)
Pretty functions approximated by Chebfun2 approx (html, PDF, M-file)
Procrustes shape analysis geom (html, PDF, M-file)
Quadrature convergence rates for differentiable functions quad (html, PDF, M-file)
Rational approximation to the exponential in a complex region approx (html, PDF, M-file)
Rational interpolation, robust and non-robust approx (html, PDF, M-file)
Resolution of wiggly functions approx (html, PDF, M-file)
Resolvent norm on the imaginary axis linalg (html, PDF, M-file)
Resonance exploited by Carrier and Pearson's vandal ode (html, PDF, M-file)
Restricted-denominator approximations approx (html, PDF, M-file)
Roots of a Bessel function roots (html, PDF, M-file)
Roots of a complex function via Cauchy integrals roots (html, PDF, M-file)
Roots of a secular equation with poles roots (html, PDF, M-file)
Roots of random polynomials roots (html, PDF, M-file)
The Rosenbrock function in 2D optimisation opt (html, PDF, M-file)
The Rosenbrock function in 2D optimisation (revisited) opt (html, PDF, M-file)
Rouche's Theorem complex (html, PDF, M-file)
Rounding Corners by Convolution geom (html, PDF, M-file)
Sampling from a Probability Distribution stats (html, PDF, M-file)
Schwarz-Christoffel toolbox and Chebfun complex (html, PDF, M-file)
A scribble for Chebfun2 fun (html, PDF, M-file)
Simple computations with probability distributions stats (html, PDF, M-file)
Singular value decomposition of compact operators pde (html, PDF, M-file)
Spectral radius of the SOR iteration matrix linalg (html, PDF, M-file)
Spike integral quad (html, PDF, M-file)
Splines approx (html, PDF, M-file)
Stability of a thermoelastic rod ode-eig (html, PDF, M-file)
Stability regions of ODE formulas ode (html, PDF, M-file)
Stochastic collocation for Burgers' equation stats (html, PDF, M-file)
Summing a divergent Series approx (html, PDF, M-file)
Surfaces of revolution calc (html, PDF, M-file)
System of two nonlinear BVPs ode (html, PDF, M-file)
Three body problem complex singularities ode (html, PDF, M-file)
Time independent Black-Scholes with jumps ode (html, PDF, M-file)
Time-dependent integro-differential equation pde (html, PDF, M-file)
Transient Growth linalg (html, PDF, M-file)
Types of isolated singularities complex (html, PDF, M-file)
Undergraduate Multivariable Calculus veccalc (html, PDF, M-file)
Uniform Distribution -- Exercises from a Textbook stats (html, PDF, M-file)
The Volume of a Heart and the Divergence Theorem geom (html, PDF, M-file)
Wave equation with decay band ode-eig (html, PDF, M-file)
The white curves of Ortiz and Rivlin roots (html, PDF, M-file)
A wiggly function and its best approximations approx (html, PDF, M-file)
Wikipedia integro-differential equation example integro (html, PDF, M-file)
Wikipedia ODE examples ode (html, PDF, M-file)
Writing a message in 3D fun (html, PDF, M-file)

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