A Fast Explicit Operator Splitting Method for Modified Buckley–Leverett Equations

Author:

Kao Chiu-Yen,Kurganov Alexander,Qu Zhuolin,Wang Ying

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference29 articles.

1. Barenblatt, G.I., Garcia-Azorero, J., De Pablo, A., Vazquez, J.L.: Mathematical model of the non-equilibrium water-oil displacement in porous strata. Appl. Anal. 65, 19–45 (1997)

2. Buckley, S.E., Leverett, M.C.: Mechanism of fluid displacement in sands. Pet. Trans. AIME 146, 107–116 (1942)

3. Chertock, A., Kashdan, E., Kurganov, A.: Propagation of Diffusing Pollutant by a Hybrid Eulerian–Lagrangian method, in Hyperbolic Problems: Theory, Numerics, Applications. Springer, Berlin (2008)

4. Chertock, A., Kurganov, A.: On splitting-based numerical methods for convection-diffusion equations. In: Numerical Methods for Balance Laws, vol. 24 of Quad. Mat., pp. 303–343. Department of Mathematics, Seconda University, Napoli, Caserta (2009)

5. Chertock, A., Kurganov, A., Petrova, G.: Fast explicit operator splitting method. Application to the polymer system. In: Finite Volumes for Complex Applications IV, pp. 63–72. ISTE, London (2005)

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