To cite Chebfun in a publication, we recommend the following:

T. A. Driscoll, N. Hale, and L. N. Trefethen, editors, Chebfun Guide, Pafnuty Publications, Oxford, 2014.

A PDF of the Guide is freely available. In addition, bound hardcopies of the Guide are available for order at cost:

They are not updated as frequently as the online versions here.


  1. 1

    Getting Started with Chebfun

    Lloyd N. Trefethen, October 2009, latest revision May 2019

  2. 2

    Integration and Differentiation

    Lloyd N. Trefethen, November 2009, latest revision May 2019

  3. 3

    Rootfinding and Minima and Maxima

    Lloyd N. Trefethen, October 2009, latest revision May 2019

  4. 4

    Chebfun and Approximation Theory

    Lloyd N. Trefethen, November 2009, latest revision May 2019

  5. 5

    Complex Chebfuns

    Lloyd N. Trefethen, November 2009, latest revision May 2019

  6. 6

    Quasimatrices and Least-Squares

    Lloyd N. Trefethen, November 2009, latest revision June 2019

  7. 7

    Linear Differential Operators and Equations

    Tobin A. Driscoll, November 2009, latest revision June 2019

  8. 8

    Chebfun Preferences

    Lloyd N. Trefethen, November 2009, latest revision June 2019

  9. 9

    Infinite Intervals, Infinite Function Values, and Singularities

    Lloyd N. Trefethen, November 2009, latest revision June 2019

  10. 10

    Nonlinear ODEs, IVPs, and Chebgui

    Lloyd N. Trefethen, November 2009, latest revision June 2019

  11. 11

    Periodic Chebfuns

    Grady B. Wright and Lloyd N. Trefethen, December 2014, latest revision July 2019

  12. 12

    Chebfun2: Getting Started

    Alex Townsend, March 2013, latest revision July 2019

  13. 13

    Chebfun2: Integration and Differentiation

    Alex Townsend, March 2013, latest revision October 2019

  14. 14

    Chebfun2: Rootfinding and Optimisation

    Alex Townsend, March 2013, latest revision October 2019

  15. 15

    Chebfun2: Vector Calculus and 2D Surfaces

    Alex Townsend, March 2013, latest revision October 2019

  16. 16

    Diskfun

    Heather Wilber, October 2016, latest revision November 2019

  17. 17

    Spherefun

    Alex Townsend, Heather Wilber, and Grady B. Wright, May 2016, latest revision November 2019

  18. 18

    Chebfun3

    Behnam Hashemi and Nick Trefethen, June 2016

  19. 19

    SPIN, SPIN2, SPIN3 and SPINSPHERE for stiff PDEs

    H. Montanelli and L. N. Trefethen, February 2016, latest revision May 2017

  20. 20

    Ballfun

    Nicolas Boulle and Alex Townsend, May 2019