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

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Well-Balanced Methods for Compressible Euler Equations with Gravitational Force that Preserve Transoems of balance laws based on the use of well-balanced state reconstructions. Local steady states have to be computed in the stencil of every cell, which is done by solving the ODE system satisfied by stationary solutions using collocation Runge-Kutta (RK) methods. A strategy to deal with resonant pr

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Second Order Finite Volume IMEX Runge-Kutta Schemes for Two Dimensional Parabolic PDEs in Financeensional financial parabolic PDEs with mixed derivatives. The methods achieve second order convergence even in the presence of non-regular initial conditions. The IMEX time integrator allows to overcome the tiny time-step induced by the diffusive term in the explicit schemes, also providing accurate

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Numerical Computation of the Wave Speed for Hyperbolic Reaction-Diffusion Equationsfrom the standard derivation of reaction-diffusion equation as a consequence of the coupling of the continuity equation with the .. Next, we propose to attack the problem by means of hyperbolic models, a crucial example obtained by replacing the (static) Fourier equality with the (dynamic) .. Then,

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A Cheap and Easy-to-Implement Upwind Scheme for Second Order Traffic Flow Modelsstrictly hyperbolic conservation laws of Temple class. The scheme is shown to satisfy some maximum principle properties on the density. We provide numerical tests illustrating the behaviour at vacuum and the gain in computational time when dealing with optimization algorithms.

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https://doi.org/10.1007/978-3-031-55264-9Hyperbolic Partial Differential Equations; Systems of conservation laws; Systems of balance laws; Navie