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Update SBP docs with convergence references (#265)
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docs/src/SBP_Operators.md

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@@ -117,6 +117,17 @@ M = \Delta x \cdot \text{diag}(1/2, 1, 1, \ldots, 1, 1/2)
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```
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You can verify that this satisfies the SBP property and provides second-order accuracy in the interior with first-order accuracy at the boundaries.
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Thus, under standard assumptions, one can prove that this SBP operator leads to methods with order of convergence two (in the discrete ``L^2`` norm induced by the mass matrix).[^SvärdNordström2019][^SvärdNordström2021]
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[^SvärdNordström2019]:
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Svärd, Nordström (2019):
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On the convergence rates of energy-stable finite-difference schemes
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[DOI: 10.1016/j.jcp.2019.07.018](https://doi.org/10.1016/j.jcp.2019.07.018)
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[^SvärdNordström2021]:
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Svärd, Nordström (2021):
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Convergence of energy stable finite-difference schemes with interfaces
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[DOI: 10.1016/j.jcp.2020.110020](https://doi.org/10.1016/j.jcp.2020.110020)
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## 3. Types of SBP Operators
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