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Does the order of accuracy of a combination of schemes applied to solve a system of non-linear equations, match those of the same schemes applied to the linearised version of the system?

In other words, does linearisation alter the order of accuracy of a scheme?

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  • $\begingroup$ Are you solving algebraic or differential equations? What methods are you using? $\endgroup$
    – nicoguaro
    Dec 11, 2015 at 23:34
  • $\begingroup$ differential equations (isothermal euler equations close with p=f(rho) for a baratropic flow), solved using FVM and central differencing, periodic bc's. $\endgroup$
    – melody
    Dec 12, 2015 at 11:43

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