.. _biblio:

=============================================================
Some other references
=============================================================


Some of the books listed below are SIAM e-books and available free if you
access them from a UW computer.  Or if you are off-campus, you can gain
access by using the `UW library off-campus proxy
<http://www.lib.washington.edu/help/connect.html>`_.

.. _biblio_hyp:

Finite difference methods
---------------------------------------------

.. [LeVeque-FDM] R. J. LeVeque,
   Finite Difference Methods for Ordinary and Partial Differential
   Equations, Steady State and Time Dependent Problems, SIAM, 2007.

.. [Iserles] A. Iserles,
   A First Course in the Numerical Analysis of Differential Equations, 
   Cambridge University Press, 2008.

.. [Keller] H. B. Keller,
   Numerical Solution of Two Point Boundary Value Problems,
   CBMS 24, SIAM, 1976.

.. _biblio_spectral:

Spectral methods
---------------------

.. [Boyd] J.P. Boyd, `Chebyshev and Fourier Spectral Methods
   <http://www-personal.umich.edu/~jpboyd/BOOK_Spectral2000.html>`_
   Second edition, freely available from the `author's website
   <http://www-personal.umich.edu/~jpboyd/>`_

.. [Fornberg] B. Fornberg, `A Practical Guide to Pseudospectral Methods
   <http://amath.colorado.edu/faculty/fornberg/book.html>`_,
   Cambridge University Press.

.. [BriggsEtAl_DFT] W. L. Briggs, V. Emden Henson,
   The DFT, An Owner's Manual for the Discrete Fourier Transform,
   SIAM, 1995.
  
.. [LeVequeFourierNotes] R. J. LeVeque,
   `Fourier Transforms <_static/fourier.pdf>`__.

.. [Trefethen1]  L. N. Trefethen,
   `Approximation Theory and Approximation Practice
   <https://my.siam.org/Store/Product/viewproduct/?ProductId=31254869>`_, SIAM 2013.
   `[Download m-files] <https://people.maths.ox.ac.uk/trefethen/ATAP/>`_


.. [Trefethen2]  L. N. Trefethen,
   `Spectral Methods in Matlab <https://my.siam.org/Store/Product/viewproduct/?ProductId=1186>`_,
   SIAM 2000.
   `[Download m-files] <http://people.maths.ox.ac.uk/trefethen/spectral.html>`_

.. [Chebfun] `Chebfun software <https://www.chebfun.org/>`_  (Matlab package).
   See also the Python version 
   `PyChebfun <https://github.com/olivierverdier/pychebfun>`_ 

.. _biblio_sparse:

Sparse linear algebra
---------------------

.. [Davis] T. A. Davis,
   Direct Methods for Sparse Linear Systems,
   SIAM, 2006. 
   `ebook <https://epubs.siam.org/doi/book/10.1137/1.9780898718881>`_

.. [BriggsEtAl_MG] W. L. Briggs, V. Emden Henson, and S. F. McCormick,
   A Multigrid Tutorial, Second Edition, SIAM, 2000.
   `ebook <https://epubs.siam.org/doi/book/10.1137/1.9780898719505?mobileUi=0>`_

.. [Greenbaum] A. Greenbaum,
   Iterative Methods for Solving Linear Systems,
   SIAM, 1997. 
   `ebook <https://epubs.siam.org/doi/book/10.1137/1.9781611970937?mobileUi=0u>`_

.. [Saad] Y. Saad, 
   Iterative Methods for Sparse Linear Systems,
   Second Edition, SIAM, 2003.

.. _biblio_python:

Python
------

See also: :ref:`python`

.. [LangtangenPrimer] H. P. Langtangen, 
   A Primer on Scientific Programming with Python,
   Springer 2016.
   `pdf version <https://hplgit.github.io/primer.html/doc/pub/half/book.pdf>`_

.. [VanderPlas] J. VanderPlas, 
   Python Data Science Handbook,
   O'Reilly Media, 2016. 
   `online with code you can run <https://jakevdp.github.io/PythonDataScienceHandbook/>`_

.. _biblio_latex:

Latex
-----

.. [HighamChapter] N. J. Higham, `Tex and Latex Chapter 
   <http://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot63/ot63_ch13>`_
   from: <i>Handbook of Writing for the Mathematical Sciences</i>, Second
   Edition, SIAM e-book.  (See also `Appendix B
   <http://epubs.siam.org/doi/abs/10.1137/1.9780898719550.appb>`_  
   for latex symbols)

.. [GriffithsHigham] D.F. Griffiths and D.J. Higham,
   `Learning LaTeX
   <http://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot55>`_,
   SIAM, 1997