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Chebfun V4 - old version; please download current version instead
version 4.2.0.0 (4.39 MB) by
Chebfun Team
Numerical computation with functions
13.7K Downloads
Updated 29 Oct 2015
Version History
| 4.2.0.0 | Updated October 29, 2015. |
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| 1.20.0.0 | Announce V5 release. |
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| 1.19.0.0 | Removing V5 notification. Didn't expect the change to happen instantly.. |
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| 1.18.0.0 | Rename this as V4. V5 will be released on FileExchange (via GitHub) very soon. |
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| 1.17.0.0 | Updated to v4.2.2194. Release notes at www.chebfun.org/notes/ |
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| 1.16.0.0 | The .zip file didn't seem to have been updated in the previous resubmission. |
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| 1.15.0.0 | Updated to most recent software release (V4.1). |
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| 1.10.0.0 | Updated information on new release. |
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| 1.9.0.0 | Added version number to title and some minor changes to the description. |
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| 1.8.0.0 | Updated license information |
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| 1.7.0.0 | Summary corrected. |
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| 1.5.0.0 | New chebfun release v. 2.0501. Release notes can be found at http://web.comlab.ox.ac.uk/projects/chebfun/notes_V2_0501.html |
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| 1.4.0.0 | Changed the screenshot of the logo. |
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| 1.0.0.0 |
License
Editor's Note: This file was selected as MATLAB Central Pick of the Week
Old version of Chebfun. To download latest version see www.chebfun.org, www.github.com/chebfun, or the Matlab File Exchange www.mathworks.com/matlabcentral/fileexchange.
Cite As
Chebfun Team (2021). Chebfun V4 - old version; please download current version instead (https://www.mathworks.com/matlabcentral/fileexchange/23972-chebfun-v4-old-version-please-download-current-version-instead), MATLAB Central File Exchange. Retrieved .
Requires
MATLAB Release Compatibility
Created with
R2012a
Compatible with any release
Platform Compatibility
Windows macOS LinuxCategories
Acknowledgements
Inspired: Gauss quadrature nodes and weights., Chebpack, Dynamical System Viewer, Chebfun - current version
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chebfun/
- ATAPformats.m
- bary(x,gvals,xk,ek)
- barymat(M,N,map,w)
- bary_weights(xk)
- blowup(on_off)
- chebbench(varargin)
- chebfunpref(varargin)
- chebguiedit(varargin)
- chebguiwindow(varargin)
- cheblogo
- cheboppref(varargin)
- chebpoly(n,d,kind)
- chebpolyval(c,kind)
- chebpts(n,d,kind)
- chebsnake(nodes,alpha)
- chebtest(dirname)
- Contents.m
- cumsummat(N)
- diffmat(N,k)
- fov(A)
- hermpoly(n,type)
- hermpts(n,varargin)
- jacpoly(N,a,b,d,flag)
- jacpts(n,alpha,beta,varargin)
- lagpoly(n)
- lagpts(n,int,meth)
- lebesgue(x,varargin)
- legpoly(n,d,normalize,method)
- legpts(n,int,meth)
- mappref(varargin)
- maps(varargin)
- pdeset(varargin)
- ratinterp( f , varargin )
- resampling(on_off)
- scribble.m
- sing(str,bpm)
- splitting(on_off)
chebfun/@anon/
chebfun/@chebconst/
chebfun/@chebfun/
chebfun/@chebgui/
chebfun/@chebop/
chebfun/@domain/
chebfun/@fun/
chebfun/@linop/
chebfun/@oparray/
chebfun/@varmat/
chebfun/chebbench/
chebfun/chebtests/ad/
chebfun/chebtests/advanced/
- airy_extrema
- besseljextrema
- besseljroots
- cftest
- chebpadetest
- complexrotation
- convspline
- cumsumunbnd
- cumsum_fracexps
- cumsum_infint
- cumsum_oscillate
- diffexp
- diffinf
- difforder
- diffsingmaps
- diffsingmaps
- diff_matrices
- elementary
- ellipjtest
- exps_cumsum
- exps_diff
- exps_sum
- extracting_roots
- falknerskan
- fovtest
- fraccalctest
- fzerotest
- grammatrix
- interp1test
- inverseq
- invtest
- jacptstest
- lebesguetest
- legptstest
- mapends_nan_inf
- matrixnorms
- maxdegree
- maxdoubleroots
- maxtest
- max_and_imps
- max_min
- max_min_unbnd
- mfun_integrate
- misclnttests1
- nanavoidance
- normtests
- pointevals
- polyfittest
- polytest
- quadtest
- ratinterptest
- remeztest
- resampletest
- residuetest
- restrictimps
- restrictscl
- scale
- scaleinvariance
- scaleinvariance2
- scribbleio
- scribbles
- sinx
- splittingtest
- sqrt_test
- suminftest
- sumtest
- test_ratinterp
- unbndpolys
- unboundednorms
chebfun/chebtests/basic/
- aliasing
- arithtest
- barytest
- blowup_exps
- blowup_scale
- blowup_splitting
- booltest
- breakpoints
- callpref
- chebdomain
- chebfunpreftest
- chebpolytest
- composetest
- ctortest
- evalcomplex
- exact_endpoints
- exps_ctor
- findexps_test
- funscale
- guide2tests
- infimps
- isequaltest
- mappreftest
- minsamples_adapt
- pole_construct
- restrict_roots
- rootspol
- smallintervals
- std_test
- stringinput
- sumcos20x
- vectornorms
- webexamples
chebfun/chebtests/chebops/
- chebop_bc
- chebop_bc2
- chebop_cumsum
- chebop_diff
- chebop_different_syntaxes
- chebop_eigs
- chebop_ellipjode
- chebop_expm
- chebop_feval
- chebop_fitbcs
- chebop_gmrestest
- chebop_intops
- chebop_ivp
- chebop_linop
- chebop_polyeigs
- chebop_pwintops
- chebop_pwlinear
- chebop_scalingtest
- chebop_simplify
- chebop_svds
- chebop_systemeig
- chebop_systemexpm
- chebop_systemsolve1
- chebop_systemsolve2
- chebop_v4tests
- chebop_vs_linop
- paramODE
chebfun/chebtests/linops/
- linopzerotest
- linop_bcchange
- linop_diag
- linop_eye
- linop_feval_lr
- linop_functionals
- linop_operarith
- linop_systemapply
chebfun/chebtests/misc/
- bvp45ctest
- circplate
- ivp_test
- ivp_testcomplex
- ivp_ty_test
- lexerParserTest
- mathieu
- orrsommerfeld
- schrodinger_sqwell
chebfun/chebtests/quasimatrices/
chebfun/examples/
chebfun/examples/quad/
chebfun/guide/
chebfun/examples/approx/html/
- A greedy algorithm for choosing interpolation points
- A wiggly function and its best approximations
- Absolute value approximations by rationals
- Best approximation with the Remez command
- Chebyshev Coefficients
- Chebyshev interpolation of oscillatory entire functions
- Chebyshev polynomials as plotted by Higham and Higham
- Convergence rates for interpolating functions
- Halphen's constant for approximation of exp(x)
- Lebesgue functions and Lebesgue constants
- Local complexity of a function
- Orthogonal polynomials via the Gram-Schmidt process
- Orthogonal polynomials via the Lanczos process
- Polynomial basis for Hermite interpolation
- Rational interpolation, robust and non-robust
- The FFT in Chebfun
- The gamma function and its poles
chebfun/examples/complex/html/
- A keyhole contour integral
- ANGLE, UNWRAP, and branches of complex chebfuns
- Schwarz-Christoffel toolbox and Chebfun
chebfun/examples/fun/html/
- Approximation of piecewise linear functions ( chebsnake!)
- Birthday cards and analytic functions
- Can one hear the shape of a chebfun?
- Happy Valentines Day!
- MathJax Introduction
- Merry Christmas!
- Writing a message in 3D
chebfun/examples/geom/html/
- An ellipse rolling around another ellipse
- Area and centroid of a 2D region
- Bouncing photon, Sinai billiards
- Dual points, lines, polygons and curves
- Lissajous curves
- Perimeter of an ellipse
- Procrustes shape analysis
chebfun/examples/integro/html/
- Abscissa of the linearized Vlasov-Poisson operator
- Eigenvalues of the Fox-Li integral operator
- Fractional calculus in Chebfun
- Wikipedia integro-differential equation example
chebfun/examples/linalg/html/
- Condition numbers of various bases
- Eigenvalue level repulsion
- Field of values and numerical abscissa
- Nonnormality quiz from Trefethen and Embree
- Resolvent norm on the imaginary axis
- Transient Growth
chebfun/examples/ode-eig/html/
- Double-well Schrödinger eigenstates
- Eigenstates of the Schroedinger equation
- Frequencies of a drum
- Model of a quantum dot array for solar energy
- Orr-Sommerfeld eigenvalues
- Polynomial eigenproblems with differential operators
- Stability of a thermoelastic rod
- The Nullspace of Linear Operators
- Wave equation with decay band
chebfun/examples/ode/html/
- A parameter dependent ODE with breakpoints
- A periodic ODE system
- Advection-diffusion equation with a jump
- An Allen-Cahn equation with continuation
- Automatic differentiation in Chebfun
- Blowup equation (Frank-Kamenetskii)
- Boundary layer for advection-diffusion equation
- Carrier equation
- Computing The Complex Singularities Of The Three Body Problem
- Exact solutions of some ODEs
- Half-wave rectifier
- Jump Conditions in BVPS
- Lane-Emden equation from astrophysics
- Linear EXP initial-value problem
- Linear sine/cosine initial-value problem
- Matched asymptotics and boundary layers
- Multiple BVP solutions by solving an IVP
- Nonlinear ODE modeling solar magnetic fields
- Nonstandard 'Boundary' Conditions
- Orbiting around fixed stars
- Parameter-dependent ODEs: Three examples
- Piecewise Operators Demo
- Stability Regions of ODE Formulas
- System of two nonlinear BVPs
- Time independent Black-Scholes with jumps
- Time-independent Schrödinger eqn reflection coefficients
- Wikipedia ODE examples
chebfun/examples/opt/html/
- Extrema of a complicated function
- Optimization of a parameterised integral
- The Dixon-Szego function in 2D optimisation
- The Rosenbrock function in 2D optimisation
chebfun/examples/pde/html/
- Coupled system of reaction-diffusion equations
- Heat equation via EXPM
- Maxwell's equations
- Singular Value Decomposition of Compact Operators: A Tool for Computing Frequency Responses of PDEs
- Time-dependent integro-differential equation
chebfun/examples/quad/html/
- Battery test of Chebfun as an integrator
- Gauss and Clenshaw-Curtis quadrature
- Gauss quadrature nodes and weights
- Gravitational force between two cubes
- Spike integral
chebfun/examples/roots/html/
- Complex roots near the real axis
- Roots of a Bessel function
- Roots of a complex function via Cauchy integrals
- Roots of a secular equation with poles
- Roots of random polynomials
- The Mystery of Bernoulli Polynomials
- The white curves of Ortiz and Rivlin
chebfun/examples/stats/html/
- Generalized Polynomial Chaos
- Histogram from function or data
- Least-squares data fitting and POLYFIT
- Mercer's theorem and the Karhunen-Loeve expansion
- Resampling of random variables
- Simple computations with probability distributions
- Stochastic collocation for Burgers' equation
chebfun/guide/html/
- CHEBFUN GUIDE 10: NONLINEAR ODES AND CHEBGUI
- CHEBFUN GUIDE 1: GETTING STARTED WITH CHEBFUN
- CHEBFUN GUIDE 2: INTEGRATION AND DIFFERENTIATION
- CHEBFUN GUIDE 3: ROOTFINDING AND MINIMA AND MAXIMA
- CHEBFUN GUIDE 4: CHEBFUN AND APPROXIMATION THEORY
- CHEBFUN GUIDE 5: COMPLEX CHEBFUNS
- CHEBFUN GUIDE 6: QUASIMATRICES AND LEAST-SQUARES
- CHEBFUN GUIDE 7: LINEAR DIFFERENTIAL OPERATORS AND EQUATIONS
- CHEBFUN GUIDE 8: CHEBFUN PREFERENCES
- CHEBFUN GUIDE 9: INFINITE INTERVALS, INFINITE FUNCTION VALUES, AND SINGULARITIES
- CHEBFUN GUIDE: INDEX
