In the grand theatre of global development, Nigeria stands as a tragic protagonist, a character possessing the immense ...

ABSTRACT: In this study, we investigate a mathematical model that describes the growth dynamics of glial cells in glioma, formulated as a nonlinear partial differential equation with a ...

This code is writen in Rust, the minimal support version is 1.90. The calculation of the spheriodal harmonic depend on the intel MKL or LAPACKE. $\Delta^2\frac{d}{dr ...

A differential equation is an equality constraining a mathematical function in relation to its derivatives over one or multiple variables. Such equations may constitute the mathematical model for a ...

Abstract: Physics-Informed Neural Networks (PINNs) have recently emerged as a powerful method for solving differential equations by leveraging machine learning techniques. However, while neural ...

Abstract: In this paper, a novel approach leveraging artificial neural networks is introduced to approximate solutions for partial differential equations. The one ...

Final project @ Numerical Linear Algebra (数值代数) at Peking University. Consider the Stokes equations: $$-\Delta \vec{u} + \nabla p = \vec{F}, (x, y) \in (0,1 ...

We know the genes, but not their functions—to resolve this long-standing bottleneck in microbial research, a joint research team has proposed a cutting-edge research strategy that leverages artificial ...