Repositories list

• ApproxFunSingularities.jl

  Public
  Support for spaces with singularities in ApproxFun

  Julia

  •

  MIT License

  •2•3•0•4•Updated Jan 2, 2026Jan 2, 2026

• ApproxFunOrthogonalPolynomials.jl

  Public
  Support for orthogonal polynomial-based spaces in ApproxFun

  Julia

  •

  MIT License

  •11•4•3•3•Updated Jan 2, 2026Jan 2, 2026

• ClassicalOrthogonalPolynomials.jl

  Public
  A Julia package for classical orthogonal polynomials and expansions

  Julia

  •

  MIT License

  •9•48•23•8•Updated Dec 22, 2025Dec 22, 2025

• SingularIntegrals.jl

  Public
  A Julia package for computing singular integrals

  Julia

  •

  MIT License

  •4•7•5•3•Updated Dec 22, 2025Dec 22, 2025

• ContinuumArrays.jl

  Public
  A package for representing quasi arrays with continuous indices

  Julia

  •

  MIT License

  •6•30•27•5•Updated Dec 19, 2025Dec 19, 2025

• QuasiArrays.jl

  Public
  A package for representing quasi-arrays

  Julia

  •

  MIT License

  •2•11•11•4•Updated Dec 19, 2025Dec 19, 2025

• ApproxFun.jl

  Public
  Julia package for function approximation

  juliaapproximationpartial-differential-equations

  Julia

  •

  Other

  •69•558•177•5•Updated Dec 18, 2025Dec 18, 2025

• RecurrenceRelationshipArrays.jl

  Public
  A Julia package for caching solutions to recurrence relationships

  Julia

  •

  MIT License

  •0•2•0•1•Updated Dec 16, 2025Dec 16, 2025

• FastTransforms.jl

  Public
  🚀 Julia package for orthogonal polynomial transforms 🏂

  spinjacobiharmonics+ 10laguerrechebyshevpaduagauntlegendresphericalnufft+ 3

  Julia

  •

  Other

  •27•280•40•9•Updated Dec 16, 2025Dec 16, 2025

• FastGaussQuadrature.jl

  Public
  Julia package for Gaussian quadrature

  julianumerical-integrationgauss-quadrature

  Julia

  •

  MIT License

  •43•320•17•0•Updated Dec 16, 2025Dec 16, 2025

• MultivariateSingularIntegrals.jl

  Public
  Julia package for computing multivariate singular integrals

  Julia

  •

  MIT License

  •0•0•0•1•Updated Dec 15, 2025Dec 15, 2025

• GenericFFT.jl

  Public
  A package for computing the FFT with arbitrary floating point numbers

  Julia

  •

  MIT License

  •5•16•8•3•Updated Dec 15, 2025Dec 15, 2025

• PiecewiseOrthogonalPolynomials.jl

  Public
  A Julia package for piecewise spectral methods such as p-FEM

  Julia

  •

  MIT License

  •3•7•7•7•Updated Dec 15, 2025Dec 15, 2025

• ApproxFunBase.jl

  Public
  Core functionality of ApproxFun

  Julia

  •

  MIT License

  •13•13•9•18•Updated Dec 2, 2025Dec 2, 2025

• ApproxFunFourier.jl

  Public
  Support for Fourier-based spaces in ApproxFun

  Julia

  •

  MIT License

  •4•7•1•5•Updated Dec 2, 2025Dec 2, 2025

• SemiclassicalOrthogonalPolynomials.jl

  Public
  A Julia repository for semiclassical orthogonal polynomials

  Julia

  •

  MIT License

  •3•8•13•4•Updated Nov 27, 2025Nov 27, 2025

• FunctionMaps.jl

  Public
  A package to represent scalar and vector-valued functions

  Julia

  •

  MIT License

  •0•1•0•1•Updated Nov 24, 2025Nov 24, 2025

• FastTransformsForwardDiff.jl

  Public
  A Julia package to support forward-mode auto-differentiation for fast transforms

  Julia

  •

  MIT License

  •3•14•2•1•Updated Nov 12, 2025Nov 12, 2025

• MultivariateOrthogonalPolynomials.jl

  Public
  Supports approximating functions and solving differential equations on various higher dimensional domains such as disks and triangles

  Julia

  •

  Other

  •5•20•19•11•Updated Oct 29, 2025Oct 29, 2025

• HarmonicOrthogonalPolynomials.jl

  Public
  A Julia package for working with spherical harmonic expansions

  Julia

  •

  MIT License

  •2•25•10•1•Updated Oct 24, 2025Oct 24, 2025

• BasisFunctions.jl

  Public
  A collection of methods for manipulating various well-known types of basis functions and recombining them into more general dictionaries

  Julia

  •

  Other

  •3•14•0•0•Updated Oct 21, 2025Oct 21, 2025

• DomainSets.jl

  Public
  A Julia package for describing domains as continuous sets of elements

  Julia

  •

  MIT License

  •12•77•20•1•Updated Oct 11, 2025Oct 11, 2025

• GridArrays.jl

  Public
  GridArrays associates an array of grid points with a domain

  Julia

  •

  MIT License

  •1•5•0•0•Updated Apr 3, 2025Apr 3, 2025

• EquilibriumMeasures.jl

  Public
  Calculate equilibrium measures from potentials

  Julia

  •

  MIT License

  •1•2•2•21•Updated Mar 27, 2025Mar 27, 2025

• DomainIntegrals.jl

  Public
  A package for computing integrals over domains like they are defined in DomainSets.jl.

  Julia

  •

  MIT License

  •2•22•1•0•Updated Mar 24, 2025Mar 24, 2025

• AnnuliOrthogonalPolynomials.jl

  Public
  Julia

  •

  MIT License

  •0•1•1•2•Updated Mar 24, 2025Mar 24, 2025

• SpectralTimeStepping.jl

  Public
  Time-stepping methods with spectral bases in space

  Julia

  •

  MIT License

  •2•4•1•0•Updated Feb 12, 2025Feb 12, 2025

• FrameFun.jl

  Public
  Exploring practical possibilities of approximating functions with frames rather than with a basis

  Julia

  •

  Other

  •8•24•1•0•Updated Jan 31, 2025Jan 31, 2025

• ApproxFunExamples

  Public
  Examples for using ApproFun.jl

  Jupyter Notebook

  •

  MIT License

  •7•25•5•1•Updated Jan 9, 2025Jan 9, 2025

• RecurrenceRelationships.jl

  Public
  A Julia package for solving three-term recurrence relationships

  Julia

  •

  MIT License

  •1•2•0•0•Updated Jan 2, 2025Jan 2, 2025