A team at Shanghai Jiao Tong University has introduced a research platform to explore whether quantum algorithms can ...

The study of large-time behavior of solutions to partial differential equations is a fundamental pursuit in mathematical analysis, with profound ...

We have shown that business cycles of say five to ten years appear naturally due to an instability. Though it is the right ...

This work establishes the first asymptotic stability result for multi-wave patterns in damped wave equations with partially linearly degenerate flux. The authors prove that global solutions converge ...

Infectious diseases such as bacterial, viral, fungal and parasitic diseases continue to have a significant impact on global health. Hence, knowledge on how infection spread, population vulnerable to ...

New calculation of viral spread based on branching process theory suggests that rapid elimination of SARS-CoV-2-like viruses ...

The research builds on the well-known Hawkes process, a model in which one event increases the likelihood of subsequent ...

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential ...

We investigate glucose-insulin regulation through a delay differential equation model formulated in Sobolev spaces. A physiologically motivated time delay is incorporated into an advanced modeling ...