Titlebook: Hyperbolic Problems: Theory, Numerics, Applications. Volume I; HYP2022, Málaga, Spa Carlos Parés,Manuel J. Castro,María Luz Muñoz-Ruiz Conf

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Conference proceedings 2024(HYP2022), which was held on June 20-24, 2022 in Málaga (Spain). The goal of this series of conferences is to bring together scientists with interests in the theoretical, applied, and computational aspects of hyperbolic partial differential equations (systems of hyperbolic conservation laws, wave eq

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Implicit Exactly Well-Balanced Finite Volume Schemes for Balance Laws with Singular Source Termsxactly well-balanced implicit finite volume schemes for systems with singular source terms are introduced. Finally, some numerical tests for the Burgers’ equation with singular source term are considered to check and compare the resulting implicit numerical methods.

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On the Spectral Stability of Shock Profiles for Hyperbolically Regularized Systems of Conservation L and Szmolyan [.] and Plaza and Zumbrun [.] for parabolically regularized systems of conservation laws, and also distinctly extends findings on hyperbolic relaxation systems in Mascia and Zumbrun [.], Plaza and Zumbrun [.], Ueda [.].