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In their exquisitely proportioned, lofty interiors he tried to achieve a balance between the longitudinal and central schemes, a problem all great church architects had been faced with since Michelangelo's projects for St. Peter's in Rome.
For the comparison of our results, we use high order central schemes.
The numerical viscosity present in these central schemes is of order O((Δx 2r/Δt).
The results verify the desired accuracy, high resolution, and robustness of the kinetic flux splitting method and central schemes.
Kurganov, E. Tadmor, New high-resolution central schemes for nonlinear conservation laws and convection diffusion equations, J. Comput.
The first-order Lax Friedrichs scheme (P. D. Lax, 1954) is the forerunner for such central schemes.
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The resulting scheme is a central scheme-like method.
We present an extension of the genuinely multi-dimensional semi-discrete central scheme developed in [A.
We introduce a new high-resolution central scheme for multidimensional Hamilton Jacobi equations.
Numerical experiments demonstrate the remarkable resolution obtained by the proposed new central scheme.
The magnetic part of the fluxes however is non-homogeneous and is treated using a central scheme with artificial viscosity.
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