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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 ...

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 ...

In this tutorial, I demonstrate how to solve boundary value differential equations using the Finite Difference Method in Python. Learn step-by-step how to implement this numerical technique, ...

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

In this episode of the Quantcast Master’s Series, we speak with Kihun Nam, director of the Master’s programme of Financial ...

Future events such as the weather or satellite trajectories are computed in tiny time steps, so the computation must be both ...

South Korean researchers have mathematically proven that a twin vortex structure known as the 'Sadovskii patch' can exist ...

Artificial intelligence is reshaping brain modeling. This review introduces a unified framework where AI functions as a surrogate brain by integrating dynamical modeling, inverse problem solving, and ...

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