Maximum-principle-satisfying second-order Intrusive Polynomial Moment scheme

Author:

Kusch Jonas,Alldredge Graham W.,Frank Martin

Publisher

Cellule MathDoc/CEDRAM

Subject

Computational Mathematics,Modeling and Simulation,Numerical Analysis,Statistics and Probability

Reference33 articles.

1. [1] Alldredge, G.; Hauck, C. D; Tits, A. L. High-order entropy-based closures for linear transport in slab geometry II: A computational study of the optimization problem, SIAM Journal on Scientific Computing, Volume 34 (2012) no. 4, p. B361-B391

2. [2] Alldredge, G. W.; Hauck, C. D.; OĹeary, D. P.; Tits, A. L. Adaptive change of basis in entropy-based moment closures for linear kinetic equations, Journal of Computational Physics, Volume 258 (2014), pp. 489-508

3. [3] Bell, J. B.; Dawson, C. N.; Shubin, G. R. An unsplit, higher order Godunov method for scalar conservation laws in multiple dimensions, Journal of Computational Physics, Volume 74 (1988) no. 1, pp. 1-24

4. [4] Canuto, C.; Quarteroni, A. Approximation results for orthogonal polynomials in Sobolev spaces, Mathematics of Computation, Volume 38 (1982) no. 157, pp. 67-86

5. [5] Case, K. M; Zweifel, P. F. Linear transport theory, Addison-Wesley Pub. Co., 1967

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