4 problems

Let $\prescript{\mathrm{Ext}}{}{\Phi}^{\ell}$ and $\prescript{\mathrm{Ext}}{}{\Psi}^{\ell}$ denote the extrapolated fine- and coarse-level quantities at level $\ell$. Extrapolated…

Let $\prescript{\mathrm{Ext}}{}{\Phi}^{\ell}$ and $\prescript{\mathrm{Ext}}{}{\Psi}^{\ell}$ denote the extrapolated fine- and coarse-level quantities at level $\ell$. Assume that…

The stochastic reaction network is simulated using a multilevel adaptive reaction-splitting method with a deterministic time-change control variate based on the mean field. Uniquen…

Let $L_0$ be the smallest integer such that $4\mathcal{E}_{I,L}<TOL-TOL^2$4. For each $L\geq L_0$, let $M^*_{\ell}$ be a solution of … subject to … and define…