3 problems

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Amemiya–Ando strong convergence conjecture for products of projections
Let $r\in\mathbb{N}$ , let $P_j$ be the orthogonal projection onto a closed subspace $\mathscr{M}_j$ of a Hilbert space $\mathscr{H}$ for $1\leq j\leq r$ , and let $P$ denote the pro…
Conjectureopenoperator-theory projections strong-convergencearXiv posted 2 days ago
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Strong order-one conjecture for the stochastic Poisson integrator with one noise component
Consider the stochastic Maxwell–Bloch system and the proposed explicit stochastic Poisson integrator, with noise parameter $\sigma_1=0$ . Strong convergence of order $1$ means that…
Conjectureopengeometric-integration stochastic-numerics strong-convergencearXiv posted 2 days ago
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Strong convergence conjecture for the stochastic Allen–Cahn equation with infinite-dimensional noise
Consider the stochastic Allen–Cahn equation driven by a multiplicative infinite-dimensional ${\bf Q}$ -Wiener process, with the drift-implicit Euler–Galerkin scheme and numerical ap…
Conjectureopennumerical-analysis stochastic-pdes strong-convergencearXiv posted 2 days ago

Amemiya–Ando strong convergence conjecture for products of projections