RT Journal Article
T1 Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws
A1 Gómez Bueno, Irene
A1 Boscarino, S
A1 Castro-Díaz, Manuel Jesús
A1 Parés-Madroñal, Carlos María
A1 Russo, G
K1 Matemáticas aplicadas
AB 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.
PB Elsevier
YR 2022
FD 2022-09-30
LK https://hdl.handle.net/10630/26289
UL https://hdl.handle.net/10630/26289
LA eng
NO 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.
NO This work is partially supported by projects RTI2018-096064-B-C21 funded by MCIN/AEI/10.13039/501100011033 and “ERDF A way of making Europe”, projects P18-RT-3163 of Junta de Andalucía and UMA18-FEDERJA-161 of Junta de Andalucía-FEDER-University of Málaga. G.Russo and S.Boscarino acknowledge partial support from the Italian Ministry of University and Research (MIUR), PRIN Project 2017 (No. 2017KKJP4X) entitled “Innovative numerical methods for evolu-tionary partial differential equations and applications”. I. Gómez-Bueno is also supported by a Grant from “El Ministerio de Ciencia, Innovación y Universidades”, Spain (FPU2019/01541) funded by MCIN/AEI/10.13039/501100011033 and “ESF Invest-ing in your future”. //  Funding for open access charge: Universidad de Málaga/CBUA.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 19 ene 2026