## 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 SchrÃ¶dinger 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 SchrÃ¶dinger 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)