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.
Hyperbolic problems and finite volume methods¶
J. S. Hesthaven, Numerical Methods for Conservation Laws, From Analysis to Algorithms, SIAM, 2018. ebook
D. Kröner, Numerical Schemes for Conservation Laws, Wiley, 1997,
R. J. LeVeque, Finite Volume Methods for Hyperbolic Problems, Cambridge University Press, 2002.
R. J. LeVeque, Numerical Methods for Conservation Laws, ETH-Zurich, Birkhauser-Verlag, Basel, 1990.
J. A. Trangenstein, Numerical Solution of Hyperbolic Partial Differential Equations Cambridge Univesity Press.
S. Osher, S. Chakravarthy, High Resolution Schemes and the Entropy Condition`, SIAM J. Numer. Analy. 21 (1984), https://doi.org/10.1137/0721060
E. Tadmor, Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems, Acta Numerica 31 (2003), pp. 451-512. https://doi.org/10.1017/S0962492902000156
See also Python
G. van Rossum, An Introduction to Python,
N. J. Higham, Tex and Latex Chapter from: Handbook of Writing for the Mathematical Sciences, Second Edition, SIAM e-book. (See also Appendix B for latex symbols)
D.F. Griffiths and D.J. Higham, Learning LaTeX, SIAM, 1997