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math.NA2016
Stability analysis of the numerical Method of characteristics applied to a class of energy-preserving systems. Part II: Nonreflecting boundary conditions
Taras I. Lakoba, Zihao Deng
We show that imposition of non-periodic, in place of periodic, boundary conditions (BC) can alter stability of modes in the Method of characteristics (MoC) employing certain ordina…
math.NA2016
Stability analysis of the numerical Method of characteristics applied to a class of energy-preserving systems. Part I: Periodic boundary conditions
Taras I. Lakoba, Zihao Deng
We study numerical (in)stability of the Method of characteristics (MoC) applied to a system of non-dissipative hyperbolic partial differential equations (PDEs) with periodic bounda…