Conor McCoid received the 2022 Henri Fehr Prize awarded by the journal L'Enseignement Mathématique, for his thesis:'' Towards ...

Abstract: In the modern paradigm of multi-agent networks, communication has become one of the main bottlenecks for decentralized optimization, where a large number of agents are involved in minimizing ...

A new study by Shanghai Jiao Tong University and SII Generative AI Research Lab (GAIR) shows that training large language models (LLMs) for complex, autonomous tasks does not require massive datasets.

This study introduced an efficient method for solving non-linear equations. Our approach enhances the traditional spectral conjugate gradient parameter, resulting in significant improvements in the ...

Understanding the concept of convergence is fundamental to grasping how modern mathematics and computational algorithms achieve precision and reliability. Convergence describes the process by which a ...

A new study reveals the surprisingly convergent evolution in the inner ear of mammals. An international research team showed that a group of highly divergent mammals known as Afrotheria and distantly ...

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 ...

This study presents an (ε, μ)−uniform numerical method for a two-parameter singularly perturbed time-delayed parabolic problems. The proposed approach is based on a fitted operator finite difference ...

Teaching techniques refer to the diverse array of strategies and methodologies employed by educators to engage students and facilitate effective learning experiences. What are some examples of ...