Webb8 nov. 2024 · In this article, we consider the stochastic Cahn--Hilliard equation driven by additive noise. We discretize the equation by exploiting the spectral Galerkin method in space and a temporal accelerated implicit Euler method. Based on optimal regularity estimates of both exact and numerical solutions, we prove that the proposed numerical … Webb25 aug. 2024 · By establishing the convergence rate for the eigenvalues and the eigenfunctions, we obtain sharp convergence rates for the transition density and the price of options with nonsmooth payoffs. In particular, we show that for call-/put-type payoffs, convergence is second order, while for digital-type payoffs, convergence is generally …
Sharp Convergence Rates for Darcy
Webb2 okt. 2024 · A Sharp Convergence Rate Analysis for Distributed Accelerated Gradient Methods Huan Li, Cong Fang, Wotao Yin, Zhouchen Lin In this paper, we study the computation and communication costs in decentralized distributed optimization and give a sharp complexity analysis for the proposed distributed accelerated gradient methods. Webb30 aug. 2002 · We introduce two new stabilized variational formulations for Darcy flow. The first accommodates continuous velocity and pressure interpolations; the second accommodates continuous velocities and discontinuous pressure. The natural “stability norm” provides control for the velocity in both cases. photo printing 7x5
[PDF] Darcy’s and Forchheimer’s laws in practice – Part 1: The ...
Webb4.1 Darcy’s Law. In 1856, Henry Darcy reported results of experiments used to enhance the water flow through sand filter beds used by the city of Dijon, France for water treatment … Webb(2024). Sharp convergence rates for Darcy’s law. Communications in Partial Differential Equations: Vol. 47, No. 6, pp. 1098-1123. WebbThis analy- sis asserts that a One Sided Lipschitz Condition (OSLC, or Lip+-stability) together withW− 1;-consistency imply convergence to the unique entropy so- lution. Moreover, it provides sharp convergencerateestimates, both global (quanti ed in terms of theWs;p-norms) and local. photo printing at tesco stores