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References

Published online by Cambridge University Press:  02 August 2017

John M. Stewart
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University of Cambridge
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Python for Scientists , pp. 250 - 251
Publisher: Cambridge University Press
Print publication year: 2017

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References

Ascher, U. M., Mattheij, R. M. M. and Russell, R. D. (1995), Numerical Solution of Boundary Value Problems for Ordinary Differential Equations, SIAM.
Ascher, U. M., Mattheij, R. M. M., Russell, R. D. and Petzold, L. R. (1998), Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations, SIAM.
Bader, G. and Ascher, U. M. (1987), ‘A new basis implementation for a mixed order boundary value ODE solver’, SIAM J. Sci. Stat. Comp. 8, 483–500.CrossRefGoogle Scholar
Bellen, A. and Zennaro, M. (2003), Numerical Methods for Delay Differential Equations, Oxford.
Bogacki, P. and Shampine, L. F. (1989), ‘A 3(2) pair of Runge–Kutta formulas’, Appl. Math. Lett. 2, 321–325.CrossRefGoogle Scholar
Boyd, J. P. (2001), Chebyshev and Fourier Spectral Methods, second edn, Dover.
Brandt, A. and Livne, O. E. (2011), Multigrid Techniques: 1984 Guide with Applications to Fluid Dynamics, revised edn, SIAM.
Briggs, W. L., Henson, V. E. and McCormick, S. (2000), A Multigrid Tutorial, second edn, SIAM.
Butcher, J. C. (2008), Numerical Methods for Ordinary Differential Equations, second edn,Wiley.
Coddington, E. A. and Levinson, N. (1955), Theory of Ordinary Differential Equations, McGraw- Hill.
Driver, R. D. (1997), Ordinary and Delay Differential Equations, Springer.
Erneux, Y. (2009), Applied Delay Differential Applications, Springer.
Evans, L. C. (2013), Introduction to Stochastic Differential Equations, AMS.
Fornberg, B. (1995), A Practical Guide to Pseudospectral Methods, Cambridge.
Funaro, D. and Gottlieb, D. (1988), ‘A new method of imposing boundary conditions in pseudospectral approximations of hyperbolic equations’, Math. Comp. 51, 599–613.CrossRefGoogle Scholar
Gardiner, C. W. (2009), Handbook of Stochastic Methods, fourth edn, Springer.
Gnuplot Community (2016), ‘Gnuplot 5.0, an interactive plotting program’, available from www. gnuplot.info/docs_5.0/gnuplot.pdf.
Hesthaven, J. S. (2000), ‘Spectral penalty methods’, Appl. Num. Maths. 33, 23–41.CrossRefGoogle Scholar
Hesthaven, J. S., Gottlieb, S. and Gottlieb, D. (2007), Spectral Methods for Time-Dependent Problems, Cambridge.
Higham, D. J. (2001), ‘An algorithmic introduction to numerical solution of stochastic differential equations’, SIAM Rev. 43, 525–546.CrossRefGoogle Scholar
Hull, J. (2009), Options, Futures and Other Derivatives, seventh edn, Pearson.
Janert, K. (2015), Gnuplot in Action, second edn, Manning Publications Co.
Kloeden, P. E. and Platen, E. (1992), Numerical Solution of Stochastic Differential Equations, Springer.
Lambert, J. D. (1992), Numerical Methods for Ordinary Differential Systems, Wiley.
Langtangen, H. P. (2009), Python Scripting for Computational Science, third edn, Springer.
Langtangen, H. P. (2014), A Primer on Scientific Programming with Python, fourth edn, Springer.
Lutz, M. (2013), Learning Python, fifth edn, O'Reilly.
Mackey, M. C. and Glass, L. (1977), ‘Oscillation and chaos in physiological control systems’, Science 197, 287–289.CrossRefGoogle Scholar
Matplotlib Community (2016), ‘Matplotlib release 1.5.1’, available from http://matplotlib.org/Matplotlib.pdf.
McKinney, W. W. (2012), Python for Data Analysis, O'Reilly.
Murray, J. D. (2002), Mathematical Biology I. An Introduction, Springer.
NumPy Community (2017a), ‘NumPy user guide release 1.12’, available from https://docs.scipy.org/doc/numpy/.
NumPy Community (2017b), ‘NumPy reference release 1.12’, available from https://docs. scipy.org/doc/numpy/.
Øksendal, B. (2003), Stochastic Differential Equations, sixth edn, Springer.
Peitgen, H.–O. and Richter, P. H. (1986), The Beauty of Fractals: Images of Complex Dynamical Systems, Springer.
Press, W. H., Teukolsky, S. A., Vetterling, W. T. and Flannery, B. P. (2007), Numerical Recipes: The Art of Scientific Computing, third edn, Cambridge.
Ramachandandran, P. and Variquaux, G. (2009), ‘Mayavi user guide release 3.3.1’, available from http://code.enthought.com/projects/mayavi/docs/development/latex/mayavi/mayavi_user_guide.pdf.
Rossant, C. (2015), Learning IPython for Interactive Computing and Data Visualization, second edn, Packt Publishing.
SciPy Community (2017), ‘SciPy reference guide release 0.19’, available from https://docs.scipy.org/doc/.
Sparrow, C. (1982), The Lorenz Equations, Springer.
Tosi, S. (2009), Matplotlib for Python Developers, Packt Publishing.
Trefethen, L. N. (2000), Spectral Methods in MATLAB, SIAM.
Trottenberg, U., Oosterlee, C. W. and Schüller, A. (2001), Multigrid, Academic Press.
van Rossum, G. and Drake Jr., F. L. (2011), An Introduction to Python, Network Theory Ltd.
Wesseling, P. (1992), An Introduction to Multigrid Methods, Wiley.

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  • References
  • John M. Stewart, University of Cambridge
  • Book: Python for Scientists
  • Online publication: 02 August 2017
  • Chapter DOI: https://doi.org/10.1017/9781108120241.015
Available formats
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Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • References
  • John M. Stewart, University of Cambridge
  • Book: Python for Scientists
  • Online publication: 02 August 2017
  • Chapter DOI: https://doi.org/10.1017/9781108120241.015
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • References
  • John M. Stewart, University of Cambridge
  • Book: Python for Scientists
  • Online publication: 02 August 2017
  • Chapter DOI: https://doi.org/10.1017/9781108120241.015
Available formats
×