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A General Theory of Local Preconditioning and Its Application to 2D Ideal MHD Equations

A General Theory of Local Preconditioning and Its Application to 2D Ideal MHD Equations

In this paper, we describe a general theory of local preconditioning which assigns a unique preconditioner for any set of two-dimensional hyperbolic partial differential equations. The preconditioner is optimal in the sense that it gives the lowest possible condition number (the ratio of maximum to minimum wave speeds). Taking the …