New AI method flags fluid flow tipping points before simulations break down

David J. Silvester, a mathematics professor at the University of Manchester, has developed a novel machine-learning method to ...

For the First Time, ChatGPT Has Solved an Unproven Math Problem in Geometry

New research has found ChatGPT-5.2 can generate original mathematical proofs, introducing “vibe-proving” as a new AI ...
Phys.org

Beyond intuition: Using mathematical models to shape behavior

A new study introduces choice engineering—a powerful new way to guide decisions using math instead of guesswork. By applying carefully designed mathematical models, researchers found they could ...
University of Wyoming

Mathematical Modeling

The whole picture of Mathematical Modeling is systematically and thoroughly explained in this text for undergraduate and graduate students of mathematics, engineering, economics, finance, biology, ...
Frontiers

Data-Driven Mathematical and Statistical Methods for Infectious Disease Dynamics and Public Health Decision-Making

Infectious diseases continue to pose significant challenges to public health systems worldwide, particularly in settings where resources, surveillance ...
National Academies of Sciences%2c Engineering%2c and Medicine

Assessing the Reliability of Complex Models: Mathematical and Statistical Foundations of Verification, Validation, and Uncertainty Quantification

In Chapter 1, verification is defined as the process of determining how accurately a computer program (“code”) correctly solves the equations of a mathematical model. This includes code verification ...