Abstract
We study a finite volume scheme for simulating the evolution of large molecules within their reduced state space. The finite volume scheme under consideration is the SQRA scheme developed by Lie, Weber and Fackeldey. We study convergence of a more general family of FV schemes in up to 3 dimensions and provide a convergence result for the SQRA-scheme in arbitrary space dimensions.
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References
Eymard, R., Gallouët, T., Herbin, R.: Finite volume methods. Handb. Numer. Anal. 7, 713–1018 (2000)
Gallouët, T., Herbin, R., Vignal, M.H.: Error estimates on the approximate finite volume solution of convection diffusion equations with general boundary conditions. SIAM J. Numer. Anal. 37(6), 1935–1972 (2000)
Heida, M., Kantner, M., Stephan, A.: Consistency and convergence for a family of finite volume discretizations of the fokker–planck operator. ESAIM M2AN 55, 3017–3042 (2021)
Heida, M., Sikorski, A., Weber, M.: Consistency and order 1 convergence of cell-centered finite volume discretizations of degenerate elliptic problems in any space dimension. WIAS Preprint 2913 (2022)
Lie, H.C., Fackeldey, K., Weber, M.: A square root approximation of transition rates for a markov state model. SIAM J. Matrix Anal. Appl. 34, 738–756 (2013)
Stolarsky, K.B.: Generalizations of the logarithmic mean. Math. Mag. 48(2), 87–92 (1975)
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Heida, M. (2023). Finite Volumes for Simulation of Large Molecules. In: Franck, E., Fuhrmann, J., Michel-Dansac, V., Navoret, L. (eds) Finite Volumes for Complex Applications X—Volume 1, Elliptic and Parabolic Problems. FVCA 2023. Springer Proceedings in Mathematics & Statistics, vol 432. Springer, Cham. https://doi.org/10.1007/978-3-031-40864-9_25
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DOI: https://doi.org/10.1007/978-3-031-40864-9_25
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