Unconditionally positive and conservative third order modified Patankar–Runge–Kutta discretizations of production–destruction systems
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software
Link
http://link.springer.com/article/10.1007/s10543-018-0705-1/fulltext.html
Reference31 articles.
1. Benz, J., Meister, A., Zardo, P.A.: A conservative, positivity preserving scheme for advection-diffusion-reaction equations in biochemical applications. In: Tadmor, E., Liu, J.-G., Tzavaras, A. (eds.) Hyperbolic Problems: Theory, Numerics and Applications, Volume 67.2 of Proceedings of Symposia in Applied Mathematics, pp. 399–408. American Mathematical Society, Providence (2009)
2. Bonaventura, L., Rocca, A.D.: Unconditionally strong stability preserving extensions of the TR-BDF2 method. J. Sci. Comput. 70(2), 859–895 (2017)
3. Broekhuizen, N., Rickard, G.J., Bruggeman, J., Meister, A.: An improved and generalized second order, unconditionally positive, mass conserving integration scheme for biochemical systems. Appl. Numer. Math. 58(3), 319–340 (2008)
4. Bruggeman, J., Burchard, H., Kooi, B.W., Sommeijer, B.: A second-order, unconditionally positive, mass-conserving integration scheme for biochemical systems. Appl. Numer. Math. 57(1), 36–58 (2007)
5. Burchard, H., Bolding, K., Kühn, W., Meister, A., Neumann, T., Umlauf, L.: Description of a flexible and extendable physical–biogeochemical model system for the water column. J. Marine Syst. 61(3–4), 180–211 (2006)
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