Correction to: On Stochastic Investigation of Flow Problems Using the Viscous Burgers’ Equation as an Example

1 Correction to: Journal of Scientific Computing https://doi.org/10.1007/s10915-019-01053-7

The original version of this article unfortunately contained an error in Eq. 5. The term “v(0)” was misplaced due to incorrect breaking. The correct Eq. 5 is given below:

$$\begin{aligned}&\mathbf{v}_{t}+\frac{1}{3}(D\otimes I_{M})\mathbf{Av}+\frac{1}{3}{\mathbf{A}} (D\otimes I_{M})\hbox {v}-\epsilon (D^{2}\otimes I_{M})\mathbf{v}\nonumber \\&\ \,\qquad =(P^{-1}E_{0} \otimes I_{M}){\varvec{\Sigma }}_{0}({\mathbf{L}}_{0}{\mathbf{v}}-e_{0} \otimes {\tilde{\mathbf{g }}}_{0})\nonumber \\&\qquad \quad \ \,+\,(P^{-1}E_{N} \otimes I_{M}){\varvec{\Sigma }}_{1}({\mathbf{L}}_{1}{\mathbf{v}}-e_{{N}_{x}} \otimes {\tilde{\mathbf{g }}}_{1})\nonumber \\&{\mathbf{v}}(0)={\mathbf{f}} \end{aligned}$$

(5)

The original article has been corrected.