Nonlinear data-bounded polynomial approximations and their applications in ENO methods

Author:

Berzins Martin

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference15 articles.

1. Berzins, M.: Adaptive polynomial interpolation on evenly spaced meshes. SIAM Rev. 1(4), 624–627 (2007)

2. Berzins, M.: Data bounded polynomials and preserving positivity in high order ENO and WENO methods. SCI Report UUSCI-2009-003, University of Utah, July 2009, RevisedMarch 2010 (unpublished)

3. Balsara, D.S., Shiu, C.W.: Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy. J. Comput. Phys. 160, 405–452 (2000)

4. Borisov, V.S., Sorek, S.: On monotonicity of difference schemes for computational physics. SIAM J. Sci. Comput. 25, 1557–1584 (2004)

5. Cockburn, B., Karniadakis, G.E., Shu, C.-W. (eds): Advanced numerical approximation of nonlinear hyperbolic equations. In: Lecture Notes in Mathematics 1697, pp. 325–418. Springer Berlin Heidelberg (2000)

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