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Implicit, semi-analytical solution of the generalized Riemann problem for stiff hyperbolic balance laws
(Elsevier, 2015)
We present a semi-analytical, implicit solution to the generalized Riemann problem (GRP) for non-linear systems of hyperbolic balance laws with stiff source terms. The solution method is based on an implicit, time Taylor ...
Junction-Generalized Riemann Problem for stiff hyperbolic balance laws in networks: An implicit solver and ADER schemes
(Elsevier, 2016)
In this paper we design a new implicit solver for the Junction-Generalized Riemann Problem (J-GRP),whichis based on a recently proposed implicit method for solving the Generalized Riemann Problem (GRP) for systems of ...
Non-monotonic Traveling Wave And Computational Solutions For Gas Dynamics Euler Equations With Stiff Relaxation Source Terms
(PERGAMON-ELSEVIER SCIENCE LTDOXFORD, 2015)
Compensated compactness for a hyperbolic system of balance laws with three equations
(Boletín de Matemáticas, 2013)
We consider the problem studied by Lu et. al. in [Proc. Am. Math. Soc. 131, 3511 (2003)] to which we add a source term. This is a system of three balance laws. We use standard techniques, such as viscous approximations and ...
A New Finite Volume Approach For Transport Models And Related Applications With Balancing Source Terms
(Elsevier Science BVAmsterdam, 2017)