科研成果 by Type: 期刊论文

Numerical resolution of moderately high-dimensional nonlinear PDEs remains a huge challenge due to the curse of dimensionality for the classical numerical methods including finite difference, finite element and spectral methods. Starting from the weak formulation of the Lawson-Euler scheme, this paper proposes a stochastic particle method (SPM) by tracking the deterministic motion, random jump, resampling and reweighting of particles. Real-valued weighted particles are adopted by SPM to approximate the high-dimensional solution, which automatically adjusts the point distribution to intimate the relevant feature of the solution. A piecewise constant reconstruction with virtual uniform grid is employed to evaluate the nonlinear terms, which fully exploits the intrinsic adaptive characteristic of SPM. Combining both, SPM can achieve the goal of adaptive sampling in time. Numerical experiments on the 6-D Allen-Cahn equation and the 7- D Hamiltonian-Jacobi-Bellman equation demonstrate the potential of SPM in solving moderately high-dimensional nonlinear PDEs efficiently while maintaining an acceptable accuracy

This paper critiques dominant Western paradigms in sport and wellbeing, which often instrumentalise the body through optimisation logics. It posits ancient Chinese bodily philosophy, grounded in Taoist cosmology and an embodied ontology, as a vital alternative. This tradition views the body not as a separate entity but as a relational process inseparable from the cosmos (Tao), realised through ecological attunement and lived experience. Traditional Chinese Medicine (TCM) and Qi Gong serve as practical expressions, cultivating holistic well-being through internal integrity, ecological embeddedness, and social synchrony. Resonating with contemporary posthumanism and body ecology, this perspective advocates shifting focus from performance metrics towards harmony, ethical responsiveness, and cosmological participation, offering resources for reimagining embodiment amidst planetary and spiritual crises. Cet article critique les paradigmes occidentaux dominants dans le sport et le bien-être, qui instrumentalisent souvent le corps via des logiques d'optimisation. Il avance la philosophie corporelle chinoise ancienne, ancrée dans la cosmologie taoïste et une ontologie incarnée, comme une alternative essentielle. Cette tradition conçoit le corps non comme une entité séparée mais comme un processus relationnel inséparable du cosmos (Tao), réalisé par l'accord écologique et l'expérience vécue. La Médecine Traditionnelle Chinoise (MTC) et le Qi Gong en sont des expressions pratiques, cultivant un bien-être holistique par l'intégrité interne, l'ancrage écologique et la synchronie sociale. En résonance avec le posthumanisme contemporain et l'écologie corporelle, cette perspective préconise de déplacer l'accent des indicateurs de performance vers l'harmonie, la responsivité éthique et la participation cosmologique. Elle offre ainsi des ressources pour réimaginer l'expérience incarnée face aux crises planétaires et spirituelles.

<p>This perspective article highlights the pressing necessity to focus on heterogeneity in organ-specific aging, emphasizing the influence of environmental and climate changes, as well as social interactions, on the aging process of individual organs. It explores innovative and integrative strategies tailored to the unique aging mechanisms of different organs, aiming to preserve their biological clocks. By emphasizing the importance of addressing organ-specific vulnerabilities, the article calls for transcending traditional pharmacological treatments and organ transplants. It proposes a comprehensive approach that combines environmental management, social support systems, and advanced technological interventions to improve the well-being and longevity of aging populations.</p>