Jorge Balbas

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In this paper we utilize a family of high-resolution, non-oscillatory central schemes for the approximate solution of the equations of ideal magnetohydrodynamics (MHD) in oneand two-space dimensions. We present several prototype problems. Solutions of one-dimensional shock-tube problems is carried out using secondand third-order central schemes [19, 18],(More)
The computations reported in this paper demonstrate the remarkable versatility of central schemes as black-box, Jacobian-free solvers for ideal magnetohydrodynamics (MHD) equations. Here we utilize a family of high-resolution, non-oscillatory central schemes for the approximate solution of the oneand two-dimensional MHD equations. We present simulations(More)
We present a new family of high-resolution, nonoscillatory semidiscrete central schemes for the approximate solution of the ideal magnetohydrodynamics (MHD) equations. This is the second part of our work, where we are passing from the fully discrete staggered schemes in [J. Balbás, E. Tadmor, and C.-C. Wu, J. Comput. Phys., 201 (2004), pp. 261–285] to the(More)
We present a new semi-discrete central scheme for one-dimensional shallow water flows along channels with non-uniform rectangular cross sections and bottom topography. The scheme preserves the positivity of the water height, and it is preserves steady-states of rest (i.e., it is wellbalanced). Along with a detailed description of the scheme, numerous(More)
We present a new family of high-resolution, non-oscillatory semi-discrete central schemes for the approximate solution of the ideal Magnetohydrodynamics (MHD) equations. This is the second part of our work, where we are passing from the fully-discrete staggered schemes in [2] to the semi-discrete formulation advocated in [14]. This semi-discrete formulation(More)
We present a new high-resolution, non-oscillatory semi-discrete central scheme for one-dimensional two-layer shallow-water flows along channels with non-uniform rectangular cross sections and bottom topography. The scheme extends existing central semidiscrete schemes for hyperbolic conservation laws and it enjoys two properties crucial for the accurate(More)
Fusing a lower resolution color image with a higher resolution monochrome image is a common practice in medical imaging. By incorporating spatial context and/or improving the signal-to-noise ratio, it provides clinicians with a single frame of the most complete information for diagnosis. In this paper, image fusion is formulated as a convex optimization(More)
Over the past few years, several non-oscillatory central schemes for hyperbolic conservation laws have been proposed for approximating the solution of the Ideal MHD equations and similar astrophysical models. The simplicity, versatility, and robustness of these black-box type schemes for simulating MHD flows suggest their further development for solving MHD(More)