Code covered by the BSD License
Highlights from
Chebfun
- A greedy algorithm for choosi...
- A keyhole contour integral
- A parameter dependent ODE wit...
- A periodic ODE system
- A wiggly function and its bes...
- ANGLE, UNWRAP, and branches o...
- Abscissa of the linearized Vl...
- Absolute value approximations...
- Advection-diffusion equation ...
- An Allen-Cahn equation with c...
- An ellipse rolling around ano...
- Approximation of piecewise li...
- Area and centroid of a 2D reg...
- Automatic differentiation in ...
- Battery test of Chebfun as an...
- Best approximation with the R...
- Birthday cards and analytic f...
- Blowup equation (Frank-Kamene...
- Bouncing photon, Sinai billia...
- Boundary layer for advection-...
- CHEBFUN GUIDE 10: NONLINEAR O...
- CHEBFUN GUIDE 1: GETTING STAR...
- CHEBFUN GUIDE 2: INTEGRATION ...
- CHEBFUN GUIDE 3: ROOTFINDING ...
- CHEBFUN GUIDE 4: CHEBFUN AND ...
- CHEBFUN GUIDE 5: COMPLEX CHEB...
- CHEBFUN GUIDE 6: QUASIMATRICE...
- CHEBFUN GUIDE 7: LINEAR DIFFE...
- CHEBFUN GUIDE 8: CHEBFUN PREF...
- CHEBFUN GUIDE 9: INFINITE INT...
- CHEBFUN GUIDE: INDEX
- Can one hear the shape of a c...
- Carrier equation
- Chebyshev Coefficients
- Chebyshev interpolation of os...
- Chebyshev polynomials as plot...
- Complex roots near the real a...
- Computing The Complex Singula...
- Condition numbers of various ...
- Convergence rates for interpo...
- Coupled system of reaction-di...
- Double-well Schrödinger ...
- Dual points, lines, polygons ...
- Eigenstates of the Schroeding...
- Eigenvalue level repulsion
- Eigenvalues of the Fox-Li int...
- Exact solutions of some ODEs
- Extrema of a complicated func...
- Field of values and numerical...
- Fractional calculus in Chebfun
- Frequencies of a drum
- Gauss and Clenshaw-Curtis qua...
- Gauss quadrature nodes and we...
- Generalized Polynomial Chaos
- Gravitational force between t...
- Half-wave rectifier
- Halphen's constant for approx...
- Happy Valentines Day!
- Heat equation via EXPM
- Histogram from function or da...
- Jump Conditions in BVPS
- Lane-Emden equation from astr...
- Least-squares data fitting an...
- Lebesgue functions and Lebesg...
- Linear EXP initial-value prob...
- Linear sine/cosine initial-va...
- Lissajous curves
- Local complexity of a function
- Matched asymptotics and bound...
- MathJax Introduction
- Maxwell's equations
- Mercer's theorem and the Karh...
- Merry Christmas!
- Model of a quantum dot array ...
- Multiple BVP solutions by sol...
- Nonlinear ODE modeling solar ...
- Nonnormality quiz from Trefet...
- Nonstandard 'Boundary' Condit...
- Optimization of a parameteris...
- Orbiting around fixed stars
- Orr-Sommerfeld eigenvalues
- Orthogonal polynomials via th...
- Orthogonal polynomials via th...
- Parameter-dependent ODEs: Thr...
- Perimeter of an ellipse
- Piecewise Operators Demo
- Polynomial basis for Hermite ...
- Polynomial eigenproblems with...
- Procrustes shape analysis
- Rational interpolation, robus...
- Resampling of random variables
- Resolvent norm on the imagina...
- Roots of a Bessel function
- Roots of a complex function v...
- Roots of a secular equation w...
- Roots of random polynomials
- Schwarz-Christoffel toolbox a...
- Simple computations with prob...
- Singular Value Decomposition ...
- Spike integral
- Stability Regions of ODE Form...
- Stability of a thermoelastic ...
- Stochastic collocation for Bu...
- System of two nonlinear BVPs
- The Dixon-Szego function in 2...
- The FFT in Chebfun
- The Mystery of Bernoulli Poly...
- The Nullspace of Linear Opera...
- The Rosenbrock function in 2D...
- The gamma function and its po...
- The white curves of Ortiz and...
- Time independent Black-Schole...
- Time-dependent integro-differ...
- Time-independent Schrödi...
- Transient Growth
- Wave equation with decay band
- Wikipedia ODE examples
- Wikipedia integro-differentia...
- Writing a message in 3D
- chebguiedit(varargin) CHEBGUIEDIT MATLAB code for chebguiedit.fig
- chebguiwindow(varargin) CHEBGUIWINDOW Driver file for Chebfun's CHEBGUI
- absTest
- ad_basic Tests basic AD functionality:
- ad_basic2 This test checks that Automatic Differentiation is working.
- ad_qmdiff Check if automatic differentiation of a quasimatrix with respect
- ad_systems Checks whether AD works correctly for multiple variables
- ad_vs_diff_special A test that compares derivatives obtained via AD to derivatives obtained
- ad_vs_diff_trig A test that compares derivatives obtained via AD to derivatives obtained
- ad_vs_diff_trig_deg A test that compares derivatives obtained via AD to derivatives obtained
- airy_extrema Verifies that the extrema of the airy function on [-15,0] are found
- aliasing Tests for aliasing: Check if the constructor accurately re-constructs the
- arithtest Test some basic arithmetic operators, i.e. plus, minus, times,
- bary(x,gvals,xk,ek) BARY Barycentric interpolation with arbitrary weights/nodes.
- bary_weights(xk) W = BARY_WEIGHTS(XK)
- barymat(M,N,map,w) BARYMAT Barycentric Interpolation Matrix
- barytest Test the evaluation of a chebfun using barycentric interpolation.
- besseljextrema Check if the extrema of the BesselJ function on [0,100] are recovered
- besseljroots Checks if the roots of the BesselJ function on [0,100] are recovered
- blowup(on_off) BLOWUP CHEBFUN blowup option
- blowup_exps Build a series of chebfuns with different non-integer exponents and check
- blowup_scale Tests scale invariance for functions with blowups (integer exponents
- blowup_splitting Check if blowups and splitting play well together.
- booltest Test boolean operators on chebfuns and quasimatrices.
- breakpoints Check if splitting works, with or without breakpoints.
- bvp45ctest This routine tests the chebfun wrappers for the BVP solvers
- callpref Check if options passed to the constructor are handled correctly.
- cftest Test CF approximation in various ways.
- chebbench(varargin) CHEBBENCH Chebfun Benchmark
- chebdomain Tests the chebfun constructor using the domain class.
- chebfunpref(varargin) CHEBFUNPREF Settings for Chebfun.
- chebfunpreftest Tests the chebfunpref options by getting and setting them
- cheblogo Chebfun logo.
- chebop_bc Solve two simple linear BVPs, check the solution vs. the exact
- chebop_bc2 Test nonseperable boundary conditions and other supplementary conditions
- chebop_cumsum Check if the indefinite integral chebop works.
- chebop_diff Checks if the differentiation chebop is equivalent to differentiating
- chebop_different_syntaxes Checks whether different allowed syntaxes for chebops work
- chebop_eigs Test the chebop eigs method.
- chebop_ellipjode Test to check that the chebfun command for
- chebop_expm Test the chebop expm method.
- chebop_feval Test various combinations of inputs to chebop/feval.
- chebop_fitbcs Create chebops, convert them to linops, and obtain chebfuns which satisfy
- chebop_gmrestest Test the Chebfun implementation of GMRES for solving Lu = f,
- chebop_intops Test integral operators
- chebop_ivp This tests solves a linear IVP using chebop and checks
- chebop_linop Test the chebop linop method.
- chebop_polyeigs Test the chebop polyeigs method.
- chebop_pwintops This test checks the construction of the piecewise fred and volt
- chebop_pwlinear This test constructs a piecewise-linear chebop and checks
- chebop_scalingtest This tests solves a nonlinear pendulum BVP with
- chebop_simplify This test has a purpose: to make sure that the
- chebop_svds Test the chebop svds method.
- chebop_systemeig Eigenvalue test, inspired by Maxwell's equation.
- chebop_systemexpm Exponential test, inspired by Maxwell's equation
- chebop_systemsolve1
- chebop_systemsolve2 Test solution of a 2x2 system
- chebop_v4tests Test a few things concerning the version 4 chebops (i.e.
- chebop_vs_linop Chebtest CHEBOP_VS_LINOP
- cheboppref(varargin) CHEBOPPREF Settings for chebops.
- chebpadetest Test the chebpade function against some examples.
- chebpoly(n,d,kind) CHEBPOLY Chebyshev polynomial of degree n.
- chebpolytest Tests chebpoly with integer and chebfun arguments.
- chebpolyval(c,kind) CHEBPOLYVAL maps Chebyshev coefficients to values at Chebyshev points
- chebpts(n,d,kind)
- chebsnake(nodes,alpha) CHEBSNAKE Chebfun snake game.
- chebtest(dirname) CHEBTEST Probe Chebfun against standard test files.
- circplate Use a linear chebop to compute the deflection of a circular plate.
- complexrotation This code makes sure a few things are ok if you make them complex,
- composetest Test composition of chebfuns with chebfuns and chebfuns
- convTest
- convspline Generates piecewise polynomial cardinal B-splines by a process
- ctortest Test the chebfun constructor for vectorized and non-vectorized
- cumsum_fracexps Tests CUMSUM for Chebfuns with fractional exponents. This situation
- cumsum_infint Check CUMSUM on for functions which diverge over an infnite
- cumsum_oscillate Compute the indefinite integral of an oscillatory function
- cumsummat(N) CUMSUMMAT Chebyshev integration matrix.
- cumsumunbnd Test CUMSUM for chebfuns that have negative, and possibly
- diff_matrices Test the construction of differentiation matrices
- diffexp Tests the computation of derivatives using DIFF
- diffinf Tests the computation of derivatives using DIFF when the
- diffmat(N,k) DIFFMAT Chebyshev differentiation matrix
- difforder Check to see whether difforder of systems are computed correctly.
- diffsingmaps Tests the computation of derivatives using DIFF when the
- diffsingmaps Tests the computation of derivatives using DIFF when the
- elementary Check that computations of elementary functions
- ellipjtest Test the accuracy of the Chebfun overload of the
- evalcomplex Check that a chebfun evaluates correctly for complex arguments.
- exact_endpoints Test whether endpoints are interpolated (exactly):
- exps_ctor Tests construction with exps
- exps_cumsum Tests cumsum with exponents
- exps_diff Tests diff with exponents
- exps_sum Tests SUM for Chebfuns with exponents
- extracting_roots Test extracting roots with and without maps
- falknerskan Solves the Falkner-Skan equation and checks the result.
- findexps_test Tests automatic exponent computation for functions
- fov(A) FOV Field of values (numerical range) of matrix A
- fovtest Tests the FOV (field of values) function.
- fraccalctest Perform some tests for fractional derivatives
- funscale Check that fun scales have been correctly updated after
- fzerotest Tests the fzero wrapper.
- grammatrix Construct the Gram matrix with chebfuns and
- guide2tests Perform various tests from chapter 2 of the Chebfun Guide.
- hermpoly(n,type) HERMPOLY Hermite polynomial of degree n.
- hermpts(n,varargin) HERMPTS Hermite points and Gauss-Hermite Quadrature Weights.
- infimps Check that imps are properly set in computations involving exps
- interp1test Check that the Chebfun-overloaded INTERP1
- inverseq This test checks roots and the vectorise preference
- invtest This test constructs two chebfuns and uses inv to invert them. It checks
- isequaltest Check if chebfun/isequal works by comparing a chebfun with itself
- ivp_test This test solves the Van der Pol ODEs in Chebfun with ode113. It checks
- ivp_testcomplex Nick Trefethen March 2009
- ivp_ty_test This test solves the Van der Pol ODE in
- jacpoly(N,a,b,d,flag) JACPOLY Jacobi polynomials.
- jacpts(n,alpha,beta,varargin) JACPTS Gauss-Jacobi Abscissae and Quadrature Weights.
- jacptstest This test computes Legrendre points with Gauss quadrature weights. It
- lagpoly(n) LAGPOLY Laguerre polynomial of degree n.
- lagpts(n,int,meth) LAGPTS Laguerre points and Gauss-Laguerre Quadrature Weights.
- lebesgue(x,varargin)
- lebesguetest This tests computes the Lebesgue function and Lebesgue constant
- legpoly(n,d,normalize,method) LEGPOLY Legendre polynomials.
- legpts(n,int,meth) LEGPTS Legendre points and Gauss Quadrature Weights.
- legptstest This tests checks legpts and the accuracy of the method GW and FAST
- lexerParserTest This test ensures that the chebgui string parser is doing the correct
- linop_bcchange Check if changing the boundary conditions of a chebop that has already
- linop_diag Check if multiplication with a pointwise multiplication operator
- linop_eye Checks the 10 by 10 realization of the identity operator.
- linop_feval_lr Check that left/right evaluation with linops behaves as expected.
- linop_functionals Tests the construction and applciation of the Chebfun/Chebop
- linop_operarith This test checks basic arithmetric operations of linops
- linop_systemapply Test 2x2 systems applied to functions.
- linopzerotest Checks whether iszero information for linear chebops is being passed and
- mapends_nan_inf Tests for rounding errors on mapped endpoints and NaN and inf error
- mappref(varargin) MAPPREF fun map preferences
- mappreftest Tests the mappref options by getting and setting them
- maps(varargin) CHEBFUN MAPS
- mathieu This test computes periodic Mathieu functions and eigenvalues for the
- matrixnorms This test constructs a matrix with chebfuns as columns and computes
- max_and_imps Tests if max introduces small jumps when computing the maximum
- max_min Tests max and min of functions.
- max_min_unbnd Tests max and min of unbounded functions.
- maxdegree Tests if the maxdegree is working in resampling on and off modes.
- maxdoubleroots
- maxtest This test checks max when the difference between the functions
- mfun_integrate This test computes the integrals of blow-up functions
- minsamples_adapt Test for minsaples in adaptive mode on an infinite domain (unbounded maps)
- misclnttests1 This tests the chebfun constructor with different syntax, sum and norm.
- nanavoidance This test check that NaNs are avoided on point evaluations
- normtests This test checks that norm of a chebfun is working correctly
- orrsommerfeld Orr-Sommerfeld eigenvalues for plane Poiseuille flow (just barely
- orthosincos This test constructs a system of chebfuns and checks they have been
- outerprod This test checks that the outer product of a system of chebfuns is
- paramODE Test solving a parameter dependent ODE.
- pdeset(varargin) PDESET Set options for pde15s
- plotrow This test checks that row chebfuns can be plotted
- plusquasimatrix This test checks that quasimatrices of different sizes cannot be added.
- pointevals This test checks that point evaluations are working.
- pole_construct Test to check if Chebfun operations on the basic chebfun 'x'
- polyfittest This test checks that the polyfit commmandis working correctly.
- polytest This test check that poly and ployval are working correctly.
- qrTest
- qrtest Tests QR factorization of Chebfun quasimatrices.
- quadtest Tests sum and quad over bounded domains.
- ratinterp( f , varargin ) RATINTERP computes a robust rational interpolation or approximation.
- ratinterptest Check a few basics with ratinterp
- remeztest The REMEZ command constructs infinity-norm
- resampletest Test if the resampling option is working by counting the number of
- resampling(on_off) RESAMPLING CHEBFUN resample option
- residuetest Tests the Chebfun residue command.
- restrict_roots Test restriction from one interval to another with { }.
- restrictimps Test handling of the imps matrix by restrict
- restrictscl This function tests the retrict function (problem related to a bug report
- rootsTest
- rootspol Check behavior of roots of a perturbed polynomial
- scale Tests for scale invariance.
- scaleinvariance This code makes sure a few things are scale-invariant.
- scaleinvariance2 Modification of scaleinvariance.m
- schrodinger_sqwell Tests eigs with piecewise constant coefficient, on a Schrodinger
- scribble.m
- scribbleTest
- scribbleio Tests that scribble responds to the expected input and output
- scribbles scribbles.m - uses "scribble" to test various things
- sing(str,bpm) SING - A basic keyboard for MATLAB using chebfuns
- sinx (by Rodrigo Platte)
- smallintervals Tests of operations on small intervals
- splitting(on_off) SPLITTING CHEBFUN splitting option
- splittingtest A collection of tests for exact jump detection
- sqrt_test Tests representations of the square root
- std_test Check that std of a complex chebfun gives the correct real result.
- stringinput Makes sure that the Chebfun constructor accepts
- subspacetest test the subspace function (angle between subspaces). Also calls vander.m
- sumcos20x Tests a couple of simple integrals, real and complex.
- suminftest Test a few things involving sum applied to
- sumtest Tests various integrals over unbounded domains.
- test_ratinterp ( ) Test the ratinterp function with different input types
- unbndpolys Tests both the construction of Laguerre and Hermite polynomials on unbounded
- unboundednorms Tests norm for unbounded domains and subtraction of chebfuns.
- vectornorms Sets up a chebfun with two pieces and
- webexamples Test the examples that are on the front page of the Chebfun website
- anon ANON constructor for the anon class, which is used to work with AD
- chebconst
- chebfun CHEBFUN Constructor for chebfuns.
- chebgui INTRODUCTION TO CHEBGUI
- fun FUN Class definition for funs
- oparray OPARRAY Array of function handles.
- varmat VARMAT Variable-sized matrix object constructor.
- {?double}) chebop CHEBOP Construct an operator on chebfuns.
- {?double}) domain DOMAIN Domain object constructor.
- {?double}) linop function A = linop(varargin)
- ATAPformats.m
- Contents.m
- ExampleTemplate.m
- LevinIntegrate.m
- guidedefaults.m
- Chebfun
- Chebfun Examples
- approx.html
- complex.html
- fun.html
- geom.html
- integro.html
- linalg.html
- ode-eig.html
- ode.html
- opt.html
- pde.html
- quad.html
- roots.html
- stats.html
- View all files
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