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oai:riuma.uma.es:10630/262892026-02-03T11:24:13Zcom_10630_2254col_10630_37953

Gómez Bueno, Irene Boscarino, S Castro-Díaz, Manuel Jesús Parés-Madroñal, Carlos María Russo, G 2023-04-19T10:18:22Z 2023-04-19T10:18:22Z 2022-09-30 Gómez-Bueno, I., Boscarino, S., Castro, M. J., Parés, C., & Russo, G. (2023). Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws. Applied Numerical Mathematics, 184, 18-48. https://hdl.handle.net/10630/26289 https://doi.org/10.1016/j.apnum.2022.09.016 The aim of this work is to design implicit and semi-implicit high-order well-balanced finite-volume numerical methods for 1D systems of balance laws. The strategy introduced by two of the authors in some previous papers for explicit schemes based on the application of a well-balanced reconstruction operator is applied. The well-balanced property is preserved when quadrature formulas are used to approximate the averages and the integral of the source term in the cells. Concerning the time evolution, this technique is combined with a time discretization method of type RK-IMEX or RK-implicit. The methodology will be applied to several systems of balance laws. eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Matemáticas aplicadas Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws journal article