LordNet: An efficient neural network for learning to solve parametric partial differential equations without simulated data.

Neural operators, as a powerful approximation to the non-linear operators between infinite-dimensional function spaces, have proved to be promising in accelerating the solution of partial differential equations (PDE). However, it requires a large amount of simulated data, which can be costly to collect. This can be avoided by learning physics from the physics-constrained loss, which we refer to it as mean squared residual (MSR) loss constructed by the discretized PDE.

Physics-informed neural wavefields with Gabor basis functions.

Recently, Physics-Informed Neural Networks (PINNs) have gained significant attention for their versatile interpolation capabilities in solving partial differential equations (PDEs). Despite their potential, the training can be computationally demanding, especially for intricate functions like wavefields. This is primarily due to the neural-based (learned) basis functions, biased toward low frequencies, as they are dominated by polynomial calculations, which are not inherently wavefield-friendly.

A systematic review and meta-analysis of acupuncture combined with Tuina in the treatment of insomnia.

Background: Insomnia is a sleep disorder with insufficient sleep time or/and poor sleep quality. Relevant epidemiological studies have shown that insomnia symptoms occur in about 35% to 50% of the adult population, and it is one of the most common diseases in the elderly. Patients who often suffer from insomnia are prone to symptoms such as fatigue, weakened cognitive function, depression, and even mental illness, which bring serious physical and mental damage to individuals and a heavy economic burden to social medical care and families.

Longitudinal measurement invariance of the meaning in life questionnaire in Chinese college students.

The Meaning in Life Questionnaire (MLQ) is a popular tool to measure the presence of and one's search for meaning in life. Although the validity of the MLQ has been verified in previous studies, the evidence from longitudinal measurement invariance (LMI) of the MLQ is still lacking. The current study aimed to examine the LMI of the MLQ in a sample of Chinese college students ( = 328) at a 1-year interval.

Family functioning and adolescent depression: A moderated mediation model of self-esteem and peer relationships.

In consideration of family system theory, the vulnerability model of depression, and the stress buffering model of social support, the current study examined the effect of family functioning on adolescent depression, the mediating effect of self-esteem, and the moderating effect of peer relationships. A sample of Chinese adolescents ( = 562, 47.15% male, 52.

The effect of subjective age on loneliness in the old adults: The chain mediating role of resilience and self-esteem.

Objectives: This study aimed to explore the effect of subjective age on loneliness in old adults, and the mediating role of resilience and self-esteem in subjective age and loneliness.

Methods: Approximately 450 old adults from Jiangxi, Hunan, Henan provinces completed the third edition of the Loneliness Scale (UCLA-LS III), Age Decade Scale (ADS), Connor-Davidson Resilience Scale (CD-RISC), and Self-Esteem Scale (SES).

Results: (1) Subjective age was significantly positively correlated with loneliness.