75 research outputs found
An efficient tamed Milstein Scheme for the Stochastic Allen-Cahn equation with multiplicative noise
No full text©The Author(s) 2026.The version of record of this article, first published in [Journal of Scientific Computing], is available online at Publisher’s website: http://dx.doi.org/10.1007/s10915-026-03218-7This paper investigates the strong convergence of a fully discrete scheme for the stochastic Allen–Cahn equation with multiplicative noise, combining a tamed Milstein method for the temporal discretization with the finite element method in space. The proposed method is shown to be unconditionally stable in spatial dimensions d ∈{1,2,3}. Beyond the inherent challenges caused by, see, e.g., [1], the cubic non-globally Lipschitz drift term and multiplicative driving noise in the convergence analysis, the Milstein scheme further complicates the error estimation of the noise term compared to the Euler-Maruyama discretization. By introducing a novel auxiliary process, we rigorously establish strong convergence rates in both space and time under mild assumptions for d ∈{1,2}. Our analysis shows that the temporal convergence order is doubled compared to that of tamed Euler-Maruyama scheme. Numerical experiments are provided to confirm the theoretical results and to demonstrate that the proposed scheme exhibits improved robustness over the pure semi-implicit Milstein method
Corrigendum to: Practice and market factors associated with provider volume of health information exchange
No full textJournal of the American Medical Informatics Association, doi: 10.1093/jamia/ocab024
The author name “Julia Adler-Milstein” was incorrectly given as “Julia Adler-Milstien”. This has been corrected online
Utility of fluorine-18-fluorodeoxyglucose positron emission tomography/computed tomography in a child with chronic granulomatous disease
No full textMultilevel Monte Carlo simulation of stochastic Volterra equation
No full textM.Phil.In this paper, we study discrete-time simulation schemes for stochastic Volterra equations, namely the Euler scheme and Milstein scheme, and the corresponding Multilevel Monte-Carlo method. By using and adapting some results from Zhang, we obtain the strong convergence rate for Euler scheme and Milstein scheme. Then with the Garsia-Rodemich-Rumsey lemma, we obtain the convergence rates of the Euler scheme and Milstein scheme under the supremum norm. We then apply these schemes to approximate the expectation of functionals of such Volterra equations by the (Multilevel) Monte-Carlo method, and compute their complexity. We finally provide some numerical simulation results for Volterra Ornstein-Uhlenbeck equation, the Rough Heston model and a Volterra equation arising in statistical mechanics.在本文中，我們研究了隨機Volterra方程的離散時間模擬方法， 包括了Euler scheme和Milstein scheme，以及相應的多層蒙特卡洛方法。通過使用Zhang的一些結果，我們獲得了Euler scheme和Milsteinscheme的強收斂速度。然後利用Garsia-Rodemich-Rumsey引理，求出極值範數下Euler scheme和Milstein scheme的收斂速度。然後，我們通過（多層）蒙特卡洛方法應用這些離散時間模擬方法來近似估計此類Volterra方程的函數的期望，併計算其複雜度。最後，我們提供了Volterra Ornstein-Uhlenbeck方程，Rough Heston模型和統計力學中產生的Volterra方程的一些數值模擬結果。Yang, Fan.Thesis M.Phil. Chinese University of Hong Kong 2020.Includes bibliographical references (leaves 63-66).Abstracts also in Chinese.Title from PDF title page (viewed on November 25, 2021)
Experiential Education and the Rule of Law: Teaching Values through Clinical Education in China
No full textThe author summarizes his discussions with Chinese law professors regarding the issues that separate American from Chinese attitudes in creating clinical legal education. The author observes that the baseline orientation of American lawyers to turn to the courts for redress is usually not the same for the Chinese, where bribery of judges is accepted. He also notes that in addition to teaching practical skills such as client interviewing and persuasive advocacy, American clinicians devote attention to value questions, such as client-centeredness, the demands and limits of zealous advocacy, and the commitment to bring about social justice. The inclusion of these ethical ideals appears to be antithetical to the mission of Chinese lawyers in establishing the rule of law in China. The author ponders whether Chinese legal clinicians will choose to play a role in teaching students how to bring about social change in regard to judicial corruption, and how client-centered ideals, if integrated into clinical education, will be adapted to the Chinese culture
“Somethin’ Tells Me It's All Happening at the Zoo”: Discourse, Power, and Conservationism1
No full textThis study examines how certain Western institutional discourses reproduce particular human relationships with nature. The analysis focuses upon the institutional setting of the zoo, examining long-standing multi-voiced debates about zoos and exploring the contemporary zoo's conservation discourses and cultural, lexical, and spatial elements of gaze and power. The author contextualizes zoo discourses within Western ideological environmental dialectics, including those of Mastery–Harmony, Othering–Connection, and Exploitation–Idealism. The author relates these discussions to her empirical observations of how certain discursive themes are reproduced and complicated within a leading American zoo. In the tradition of critical research that advocates for social change, the essay concludes with analysis-driven discussion about possibilities for zoos to transform their core configurations to more progressively work as agents for systemic cultural and environmental change
Exponential mean-square stability of two classes of theta Milstein methods for stochastic delay differential equations
No full textElectron–positron pair production in ion collisions at low velocity beyond Born approximation
No full textAbstractWe derive the spectrum and the total cross section of electromagnetic e+e− pair production in the collisions of two nuclei at low relative velocity β. Both free–free and bound-free e+e− pair production is considered. The parameters ηA,B=ZA,Bα are assumed to be small compared to unity but arbitrary compared to β (ZA,B are the charge numbers of the nuclei and α is the fine structure constant). Due to a suppression of the Born term by high power of β, the first Coulomb correction to the amplitude appears to be important at ηA,B≳β. The effect of a finite nuclear mass is discussed. In contrast to the result obtained in the infinite nuclear mass limit, the terms ∝M−2 are not suppressed by the high power of β and may easily dominate at sufficiently small velocities
When Whales "Speak for Themselves'': Communication as a Mediating force in Wildlife Tourism
No full textThe case study for this ethnographic investigation is communication within the highest concentration of whale watch operations in the world, located in transnational waters of the North Pacific. The author explores this Western cultural setting in an effort to expand upon the culturally and environmentally inclusive conceptual framework of communication as a mediating force of human–nature relations. The author finds that a range of study participants view communication as human–nature transactional. The interpretations point to ways in which Westerners in a wildlife tourism setting may value silence as communicative of a co-expressive existence with nature, may be frustrated by the limitations of culturally particular tools of language for conveying knowledge of or experiences with nature, may credit nature with “speaking” in ways that serve specific functions and may be used to justify tourism endeavors, and may position particular wildlife as icons that illuminate problematic human–nature relations or that isolate such wildlife from wider eco-cultural relationships
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