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some typo fixes to the SDC docs (#1509)
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sphinx_docs/source/sdc.rst

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@@ -55,7 +55,7 @@ $k+1$ appears as:
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\begin{align*}
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\Uc^{m+1,(k+1)} = \Uc^{m,(k+1)}
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&+ \delta t_m\left[\Advs{\Uc^{m,(k+1)}} - \Advs{\Uc^{m,(k)}}\right] +\\
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&+ \delta t_m\left[\Advs{\Uc^{m,(k+1)}} - \Advs{\Uc^{m,(k)}}\right] \\
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&+ \delta t_m\left[\Rbs{\Uc^{m+1,(k+1)}} - \Rbs{\Uc^{m+1,(k)}}\right]\\
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&+ \int_{t^m}^{t^{m+1}}\Advs{\Uc^{(k)}} + \Rbs{\Uc^{(k)}}d\tau.
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\end{align*}
@@ -105,13 +105,13 @@ Both SDC formulations result in an ODE system of the form:
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.. math::
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\frac{d\Uc}{dt} = \Rb(\Uc) + \mbox{advective terms}
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\frac{d\Uc^\prime}{dt} = \Rb(\Uc^\prime) + \mbox{advective terms}
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where $\Uc$ is only
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where $\Uc^\prime$ is only
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.. math::
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\Uc = \left ( \begin{array}{c} \rho X_k \\ \rho e \end{array} \right )
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\Uc^\prime = \left ( \begin{array}{c} \rho X_k \\ \rho e \end{array} \right )
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since those are the only components with reactive sources.
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The ``SDC`` burner includes storage for the advective terms.

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