More than a century after Srinivasa Ramanujan scribbled his astonishing formulas for π in notebooks in India and England, ...

Researchers at Shanghai University have developed a physics-constrained, data-efficient artificial intelligence framework ...

Right at the brink of a black hole, gravity twists space and time so violently that ordinary physics starts to fall apart.

Abstract: In this letter, to improve the calculation efficiency, a novel full-wave hybrid numerical method based on the finite-difference frequency domain method (FDFD) and the surface integral ...

This repository contains the toolkit and computational tools used in the research article "Complete Anisotropic Time-Dependent Heat Equation in KTP Crystal under Repetitively Pulsed Gaussian Beams: A ...

Laboratory of Energy and Applied Mechanics (LEMA), Polytechnic School of Abomey-Calavi (EPAC), University of Abomey-Calavi (UAC), Abomey-Calavi, Republic of Benin. In tropical countries in general, ...

1 Institute of Data Science and Engineering, Xuzhou University of Technology, Xuzhou, China 2 School of Mathematics and Statistics, Huaibei Normal University, Huaibei, China This study introduces a ...

First, we install the PyTorch and matplotlib libraries using pip, ensuring you have the necessary tools for building neural networks and visualizing the results in your Google Colab environment. Copy ...

Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...