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Chebfun - current version
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Chebfun is an open-source software system for numerical computing with functions. The mathematical basis is piecewise polynomial interpolation implemented with what we call “Chebyshev technology”. The foundations are described, with Chebfun examples, in the book Approximation Theory and Approximation Practice (L. N. Trefethen, SIAM 2013). Chebfun has extensive capabilities for dealing with linear and nonlinear differential and integral operators, and also includes continuous analogues of linear algebra notions like QR and singular value decomposition. The Chebfun2 extension works with functions of two variables defined on a rectangle in the x-y plane.
Most Chebfun commands are overloads of familiar MATLAB commands — for example sum(f) computes an integral, roots(f) finds zeros, and u = L\f solves a differential equation.
To get a sense of the breadth and power of Chebfun, a good place to start is by looking at our Examples (http://www.chebfun.org/examples/) or the introductory Guide (http://www.chebfun.org/docs/guide/).
Please contact us with any questions/comments at help@chebfun.org.
引用
Chebfun Team (2024). Chebfun - current version (https://github.com/chebfun/chebfun), GitHub. に取得済み.
必須
MATLAB リリースの互換性
プラットフォームの互換性
Windows macOS Linuxカテゴリ
- MATLAB > Mathematics > Numerical Integration and Differential Equations >
- Mathematics and Optimization > Partial Differential Equation Toolbox > Domain-Specific Modeling > Structural Mechanics >
謝辞
ヒントを得たファイル: Chebfun V4 - old version; please download current version instead
ヒントを与えたファイル: FindRoots, MATLAB Derivatives Pricing, TDIST
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- fevalm
- flipdim
- fliplr
- flipud
- flipxy
- get
- grad
- gradient
- harmonic
- helmholtz
- horzcat
- imag
- integral
- integral2
- isempty
- isequal
- isreal
- iszero
- lap
- laplacian
- ldivide
- length
- log
- lu
- max
- max2
- mean
- mean2
- median
- mesh
- min
- min2
- minandmax2
- minandmax2est
- minus
- mldivide
- mrdivide
- mtimes
- norm
- normalizePivots
- normalizeRowsAndCols
- partition
- pivotplot
- pivots
- plot
- plotcoeffs
- plotcoeffs2
- plus
- poisson
- pol2cartf
- power
- prod
- projectOntoBMCII
- qr
- quad2d
- quiver
- quiver3
- rank
- rdivide
- real
- restrict
- roots
- rotate
- sample
- sampleTest
- simplify
- sin
- singleSignTest
- sinh
- size
- sqrt
- squeeze
- std
- std2
- subsref
- sum
- sum2
- surf
- surface
- surfacearea
- svd
- tan
- tand
- tanh
- times
- trace
- transpose
- uminus
- uplus
- vals2coeffs
- vertcat
- vscale
- waterfall
@diskfunv
- coeffs2
- coeffs2diskfunv
- coeffs2vals
- compose
- conj
- cross
- ctranspose
- curl
- diff
- diffx
- diffy
- diskfunv
- disp
- display
- div
- divergence
- divgrad
- dot
- feval
- get
- horzcat
- imag
- isempty
- jacobian
- laplacian
- ldivide
- minandmax2est
- minus
- mldivide
- mrdivide
- mtimes
- norm
- plus
- power
- quiver
- rdivide
- real
- roots
- size
- subsref
- times
- transpose
- uminus
- uplus
- vals2coeffs
- vscale
@domain
- cumsum
- diag
- diff
- domain
- eye
- feval
- fred
- interp1
- merge
- ode113
- ode15s
- ode45
- poly
- polyfit
- sum
- volt
- zeros
@expinteg
@fun
@functionalBlock
@imex
@linBlock
@linop
- addbc
- addConstraint
- addContinuity
- cat
- deriveContinuity
- disp
- display
- eigs
- expm
- feval
- fitBCs
- getProjOrder
- gmres
- horzcat
- linop
- linopAdjoint
- linsolve
- mldivide
- mpower
- null
- polyeigs
- spy
- subsref
- svds
- vertcat
- wronskian
@linopConstraint
@mapping
@onefun
@opDiscretization
- extractBlock
- getConstraints
- getDimAdjust
- getProjOrder
- mat2fun
- mat2poly
- matrix
- merge
- opDiscretization
- partition
- spy
- testConvergence
- whichInterval
@operatorBlock
@separableApprox
- abs
- biharm
- biharmonic
- cdr
- chebcoeffs2
- chol
- complex
- conj
- contour
- contour3
- contourf
- cos
- cosh
- ctranspose
- cumprod
- cumsum
- cumsum2
- dblquad
- diag
- diff
- domainarea
- domainCheck
- end
- exp
- feval
- fevalm
- flipdim
- fliplr
- flipud
- grad
- gradient
- horzcat
- imag
- integral
- integral2
- isempty
- isequal
- isreal
- iszero
- lap
- laplacian
- ldivide
- length
- log
- lu
- max
- max2
- mean
- mean2
- median
- mesh
- min
- min2
- minandmax2
- minandmax2est
- minus
- mldivide
- mrdivide
- mtimes
- norm
- normalizePivots
- normalizeRowsAndCols
- pivotplot
- pivots
- plot
- plotcoeffs
- plotcoeffs2
- plus
- power
- prod
- qr
- quad2d
- quiver
- quiver3
- rank
- rdivide
- real
- restrict
- roots
- sampleTest
- separableApprox
- simplify
- sin
- singleSignTest
- sinh
- size
- sqrt
- squeeze
- std
- std2
- subsref
- sum
- sum2
- surf
- surface
- surfacearea
- svd
- tan
- tand
- tanh
- times
- trace
- transpose
- uminus
- uplus
- vertcat
- vscale
- waterfall
@singfun
- abs
- and
- any
- cancelExponents
- cell2mat
- chebcoeffs
- compose
- conj
- constructSmoothPart
- ctranspose
- cumsum
- diff
- dispData
- extractBoundaryRoots
- extractColumns
- feval
- findPoleOrder
- findSingExponents
- findSingOrder
- fix
- fliplr
- flipud
- floor
- fracInt
- get
- imag
- innerProduct
- isdecay
- isempty
- isequal
- isfinite
- isinf
- isnan
- isreal
- issmooth
- iszero
- jaccoeffs
- ldivide
- legcoeffs
- length
- logical
- make
- mat2cell
- max
- min
- minandmax
- minus
- mldivide
- mrdivide
- mtimes
- normest
- not
- or
- plot
- plot3
- plotcoeffs
- plotData
- plotregionData
- plus
- poly
- power
- qr
- rdivide
- real
- replaceBoundaryRoots
- restrict
- roots
- sample
- sign
- simplify
- simplifyExponents
- singfun.m
- singFun2SmoothFun
- size
- smoothFun2SingFun
- sum
- times
- transpose
- uminus
- uplus
- zeroSingFun
@smoothfun
@spherefun
- abs
- biharm
- biharmonic
- BMCsvd
- cdr
- chebcoeffs2
- chol
- coeffs2
- coeffs2spherefun
- coeffs2vals
- combine
- complex
- compose
- conj
- constructor
- contour
- contour3
- contourf
- cos
- cosh
- ctranspose
- cumprod
- cumsum
- cumsum2
- curl
- dblquad
- diag
- diff
- disp
- display
- domainarea
- domainCheck
- exp
- extractPole
- fastSphereEval
- feval
- fevalm
- flipdim
- fliplr
- flipud
- gaussfilt
- get
- grad
- gradient
- helmholtz
- horzcat
- imag
- integral
- integral2
- iscolat
- isempty
- isequal
- isreal
- iszero
- lap
- laplacian
- ldivide
- length
- log
- lu
- max
- max2
- mean
- mean2
- median
- mesh
- min
- min2
- minandmax2
- minandmax2est
- minus
- mldivide
- mrdivide
- mtimes
- norm
- normalizePivots
- normalizeRowsAndCols
- partition
- pivotplot
- pivots
- plot
- plotcoeffs
- plotcoeffs2
- plotEarth
- plus
- poisson
- power
- prod
- projectOntoBMCI
- qr
- quad2d
- quiver
- quiver3
- rank
- rdivide
- real
- restrict
- roots
- rotate
- sample
- sampleTest
- simplify
- sin
- singleSignTest
- sinh
- size
- spherefun
- sphf2cartf
- sphharm
- sqrt
- squeeze
- std
- std2
- subsref
- sum
- sum2
- surf
- surface
- surfacearea
- svd
- tan
- tand
- tanh
- times
- trace
- transpose
- uminus
- uplus
- vals2coeffs
- vertcat
- vscale
- waterfall
@spherefunv
- coeffs2
- coeffs2spherefunv
- coeffs2vals
- compose
- conj
- cross
- ctranspose
- curl
- diff
- disp
- display
- div
- divergence
- dot
- feval
- get
- helmholtzdecomp
- horzcat
- imag
- isempty
- ldivide
- minandmax2est
- minus
- mldivide
- mrdivide
- mtimes
- norm
- normal
- plus
- power
- quiver
- quiver3
- rdivide
- real
- size
- spherefunv
- subsref
- tangent
- times
- transpose
- uminus
- unormal
- uplus
- vals2coeffs
- vertcat
- vort
- vorticity
- vscale
@spinop
- discretize
- getChebfunType
- getCoeffs2ValsTransform
- getDealiasingIndexes
- getDimension
- getGrid
- getPreference
- getVals2CoeffsTransform
- initializeMovie
- isDiag
- reshapeData
- reshapeGrid
- spinop
- updateMovie
@spinop2
- discretize
- getChebfunType
- getCoeffs2ValsTransform
- getDealiasingIndexes
- getDimension
- getGrid
- getPreference
- getVals2CoeffsTransform
- initializeMovie
- isDiag
- reshapeData
- reshapeGrid
- spinop2
- updateMovie
@spinop3
- discretize
- getChebfunType
- getCoeffs2ValsTransform
- getDealiasingIndexes
- getDimension
- getGrid
- getPreference
- getVals2CoeffsTransform
- initializeMovie
- isDiag
- reshapeData
- reshapeGrid
- spinop3
- updateMovie
@spinoperator
@spinopsphere
- discretize
- getChebfunType
- getCoeffs2ValsTransform
- getDealiasingIndexes
- getDimension
- getGrid
- getPreference
- getVals2CoeffsTransform
- initializeMovie
- isDiag
- reshapeData
- reshapeGrid
- spinopsphere
- updateMovie
@spinpref
@spinpref2
@spinpref3
@spinpreference
@spinprefsphere
@spinscheme
@stringParser
- myFindType
- parser
- parSimp
- pref2inf
- splitTree
- splitTreeEIG
- splitTreePDE
- str2anon
- stringParser
- tree2prefix
@treeVar
- bivariate
- expandTree
- plotTree
- printTree
- sortConditions
- splitTree
- toAnon
- toFirstOrder.m
- toRHS
- tree2infix
- treeVar
- univariate
@trigcolloc
- cumsum
- cumsummat
- diff
- diffmat
- equationPoints
- fred
- functionPoints
- getExpmDimAdjust
- reduce
- sum
- toFunctionIn
- toFunctionOut
- toValues
- trigcolloc
- volt
@trigspec
- convertOperator
- diff
- diffmat
- getExpmDimAdjust
- mult
- multmat
- quasi2diffmat
- reduce
- rhs
- toFunctionIn
- toFunctionOut
- toValues
- trigspec
@trigtech
- abs
- alias
- and
- any
- assignColumns
- cell2mat
- chebcoeffs
- circconv
- circshift
- classicCheck
- coeffs2vals
- compose
- conj
- conv
- ctranspose
- cumsum
- diff
- diffmat
- dispData
- domainCheck
- extractColumns
- feval
- fliplr
- flipud
- fracInt
- get
- happinessCheck
- horner
- horzcat
- imag
- innerProduct
- isempty
- isequal
- isfinite
- isinf
- isnan
- isreal
- iszero
- jaccoeffs
- ldivide
- legcoeffs
- length
- make
- mat2cell
- max
- min
- minandmax
- minus
- mldivide
- mrdivide
- mtimes
- normest
- or
- parseDataInputs
- plateauCheck
- plot
- plot3
- plotcoeffs
- plotData
- plotregionData
- plus
- points
- poly
- populate
- power
- prolong
- qr
- quadwts
- rdivide
- real
- refine
- restrict
- roots
- sample
- sampleTest
- sign
- simplify
- size
- standardCheck
- sum
- techPref
- tensorGrid
- times
- transpose
- trigcoeffs
- trigpts
- trigtech.m
- truncCoeffs
- uminus
- uplus
- vals2coeffs
- vscale
@ultraS
- convert
- convertmat
- diff
- diffmat
- getExpmDimAdjust
- mult
- multmat
- quasi2diffmat
- reduce
- rhs
- spconvert
- sphankel
- toFunctionIn
- toFunctionOut
- toValues
- ultraS
@unbndfun
- changeMap
- compose
- createMap
- cumsum
- diff
- feval
- flipud
- fracInt
- innerProduct
- make
- mldivide
- mrdivide
- plotData
- poly
- qr
- restrict
- roots
- sum
- unbndfun
@valsDiscretization
- expm
- eye
- instantiate
- isFactored
- mldivide
- mtimes
- mult
- outer
- plus
- points
- rhs
- scale
- uminus
- uplus
- valsDiscretization
- zero
- zeros
tests/adchebfun
- test_airy
- test_bessel
- test_cumprodProd
- test_cumsumDiffSumMean
- test_deflationFun
- test_ellipj
- test_erf
- test_expLog
- test_fevalJump
- test_fred
- test_innerProduct
- test_linearityDetection
- test_lintest_rdivide
- test_lintest_times
- test_norm
- test_plusMinus
- test_pow2Sqrt
- test_power
- test_rdivide
- test_seed
- test_times
- test_trig1
- test_trig2
- test_trig3
- test_trig4
- test_volt
tests/ballfun
- test_abs
- test_ballfun
- test_coeffs2vals
- test_coeffs3
- test_conj
- test_constructor
- test_cos
- test_cosh
- test_diff
- test_diskfun
- test_exp
- test_feval
- test_gradient
- test_helmholtz
- test_imag
- test_isempty
- test_isequal
- test_iszero
- test_laplacian
- test_log
- test_mean
- test_mean2
- test_mean3
- test_minus
- test_mrdivide
- test_mtimes
- test_norm
- test_plus
- test_poisson
- test_power
- test_real
- test_rotate
- test_sample
- test_sin
- test_sinh
- test_size
- test_solharm
- test_spherefun
- test_sqrt
- test_sum
- test_sum2
- test_sum3
- test_tan
- test_tanh
- test_times
- test_uminus
- test_uplus
- test_vals2coeffs
- test_vscale
tests/ballfunv
- test_conj
- test_constructor
- test_cross
- test_curl
- test_divergence
- test_dot
- test_feval
- test_HelmholtzDecomposition
- test_imag
- test_isempty
- test_isequal
- test_iszero
- test_laplacian
- test_minus
- test_mrdivide
- test_mtimes
- test_norm
- test_plus
- test_power
- test_PTdecomposition
- test_real
- test_size
- test_times
- test_uminus
- test_uplus
tests/bndfun
- test_changeMap
- test_compose
- test_constructor
- test_createMap
- test_cumsum
- test_diff
- test_feval
- test_innerProduct
- test_mldivide
- test_mrdivide
- test_poly
- test_qr
- test_restrict
- test_sum
tests/cheb
- test_bernoulli
- test_bspline
- test_gallery
- test_gallery2
- test_galleryball
- test_gallerytrig
- test_normal2
- test_revolution
tests/chebfun
- test_aaa
- test_aaatrig
- test_abs
- test_addBreaks
- test_addBreaksAtRoots
- test_airy
- test_all
- test_and
- test_any
- test_arclength
- test_assignColumns
- test_atan2
- test_besselh
- test_besselj
- test_besselyk
- test_bvp4c
- test_bvp5c
- test_cell2quasi
- test_cf.m
- test_changeTech
- test_chebcoeffs
- test_chebfun_lu
- test_chebpade
- test_chebpoly
- test_circconv
- test_comet
- test_comet3
- test_complex
- test_compose_binary
- test_compose_chebfuns
- test_compose_unary
- test_constructor_basic
- test_constructor_basic_periodic
- test_constructor_equi
- test_constructor_inputs
- test_constructor_inputs_periodic
- test_constructor_singfun
- test_constructor_splitting
- test_constructor_turbo
- test_constructor_unbndfun
- test_conv
- test_cov
- test_cummax
- test_cummin
- test_cumsum
- test_dct
- test_defineInterval
- test_definePoint
- test_deltaOps
- test_deriv
- test_diag
- test_diff
- test_dlt
- test_doubleLength
- test_dst
- test_ellipj
- test_ellipke
- test_end
- test_eq
- test_erfX
- test_exp
- test_extractColumns
- test_feval
- test_find
- test_fix
- test_fliplr
- test_flipud
- test_floor
- test_fracInt
- test_fred
- test_get
- test_getValuesAtBreakpoints
- test_gmres
- test_horzcat
- test_hypot
- test_idlt
- test_imag
- test_innerProduct
- test_interp1
- test_inv
- test_isempty
- test_isequal
- test_isfinite
- test_isinf
- test_isnan
- test_iszero
- test_ivp
- test_jaccoeffs
- test_join
- test_kron
- test_kronOp
- test_le
- test_legcoeffs
- test_log
- test_logical
- test_lt
- test_mat2cell
- test_max
- test_mean
- test_merge
- test_min
- test_minandmax
- test_minus
- test_mldivide
- test_mrdivide
- test_mtimes
- test_ne
- test_nextpow2
- test_nodots
- test_norm
- test_not
- test_null
- test_or
- test_orth
- test_overlap
- test_pchip
- test_permute
- test_pinv
- test_plot
- test_plotcoeffs
- test_plot_xylim
- test_plus
- test_points
- test_polyfit
- test_polyfitL1
- test_polyval
- test_power
- test_prod
- test_qr
- test_range
- test_rdivide
- test_real
- test_realpow
- test_realsqrt
- test_removeDeltas
- test_repmat
- test_residue
- test_restrict
- test_roots
- test_round
- test_sign
- test_simplify
- test_spline
- test_splitting_abs
- test_sqrt
- test_subspace
- test_subsref
- test_sum
- test_svd
- test_tan
- test_times
- test_trig
- test_trigcasting
- test_trigcoeffs
- test_trigpade
- test_trigratinterp
- test_trigremez
- test_truncate
- test_tweakDomain
- test_ultracoeffs
- test_unwrap
- test_var
- test_vectorCheck
- test_vertcat
- test_volt
- test_waterfall
tests/chebfun2
- test_abs
- test_battery
- test_biharm
- test_cdr
- test_chebcoeffs2
- test_chebpolyval2
- test_chebpts2
- test_chol
- test_CLA
- test_coefficients
- test_complex
- test_composition_operators
- test_conj
- test_constructor
- test_constructor2
- test_contour
- test_contour3
- test_ctorsyntax
- test_cumsum
- test_diag
- test_diff
- test_divide
- test_eig
- test_emptyObjects
- test_end
- test_equiOption
- test_feval
- test_fevalm
- test_gradys_function1
- test_gradys_function2
- test_guide
- test_imag
- test_integral
- test_integral2
- test_integralEqns
- test_interpaccuracy
- test_isequal
- test_isPeriodicTech
- test_lu
- test_max
- test_mean
- test_min
- test_minandmax2est
- test_minus
- test_mixed_tech
- test_norm
- test_ode45
- test_optimization
- test_padua
- test_plotting
- test_plus
- test_poisson
- test_poldec
- test_qr
- test_rank
- test_repeatedArithmetic
- test_restriction
- test_roots
- test_roots_syntax
- test_scl
- test_squeeze
- test_std
- test_subsref
- test_sum
- test_sumdisk
- test_surf
- test_techs
- test_times
- test_transpose
- test_trig
- test_uminus
- test_uplus
- test_vectoriseFlag
- test_vertcat
- test_zerofunction
tests/chebfun2v
- test_arithmetic
- test_coeffs_vals
- test_compose
- test_conj
- test_constructor
- test_constructor2
- test_cross
- test_curl
- test_divergence
- test_divgrad
- test_dot
- test_empty
- test_imag
- test_integral
- test_isPeriodicTech
- test_isreal
- test_jacobian
- test_laplacian
- test_minandmax2est
- test_plotting
- test_real
- test_roots01
- test_roots02
- test_roots03
- test_roots04
- test_roots05
- test_roots06
- test_roots07
- test_roots08
- test_roots09
- test_roots10
- test_roots_slow
- test_roots_syntax
- test_size
- test_subsref
- test_syntax
- test_threecomponents
- test_times
- test_twocomponents
- test_vertcat
tests/chebfun3
- test_abs
- test_battery
- test_biharm
- test_chebcoeffs3
- test_chebfun3f
- test_chebpolyval3
- test_chebpts3
- test_coefficients
- test_complex
- test_compose
- test_conj
- test_constructor
- test_constructor2
- test_construnctorsyntax
- test_cumsum
- test_cumsum3
- test_diff
- test_diffx
- test_diffy
- test_diffz
- test_divide
- test_domainChck
- test_domainvolume
- test_emptyObjects
- test_equiFlag
- test_feval
- test_fevalt
- test_fold_unfold
- test_get
- test_gradient
- test_guide
- test_hosvd
- test_imag
- test_integral
- test_integral2
- test_integral3
- test_isequal
- test_isPeriodicTech
- test_isreal
- test_iszero
- test_laplacian
- test_max
- test_max2
- test_max3
- test_mean
- test_mean2
- test_mean3
- test_min
- test_min2
- test_min3
- test_minandmax3est
- test_minus
- test_mtimes
- test_ndf
- test_norm
- test_optimization
- test_permute
- test_plotting
- test_plus
- test_rank
- test_repeatedArithmetic
- test_restrict
- test_root
- test_scl
- test_sin
- test_squeeze
- test_std
- test_std2
- test_std3
- test_subsref
- test_sum
- test_sum2
- test_sum3
- test_techs
- test_times
- test_trigs
- test_tucker
- test_uminus
- test_uplus
- test_vectoriseFlag
- test_vertcat
- test_zerofunction
tests/chebfun3t
tests/chebfun3v
- test_arithmetic
- test_compose
- test_conj
- test_constructor
- test_constructor2
- test_cross
- test_curl
- test_divergence
- test_divgrad
- test_dot
- test_empty
- test_imag
- test_integral
- test_integral2
- test_isPeriodicTech
- test_isreal
- test_jacobian
- test_laplacian
- test_minandmax3est
- test_quiver3
- test_real
- test_root
- test_size
- test_subsref
- test_syntax
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GitHub の既定のブランチを使用するバージョンはダウンロードできません
バージョン | 公開済み | リリース ノート | |
---|---|---|---|
5.6.0.0 | Updated to v5.6.0 |
|
|
5.5.0.0 | Released v5.5.0. |
|
|
5.4.0.0 | Released v5.4.0. |
|
|
5.3.0.0 | Chebfun v5.3.0 has been released. For details on what has changed, see the release notes at htttp://www.chebfun.org. |
|
|
5.2.0.0 | Updated October 29, 2015. |
|
|
1.0.0.0 |
|
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