Skip to content
GCC AI Research

Search

Results for "mathematical models"

The role of applied mathematics in finance

KAUST ·

KAUST's Stochastic Numerics Research Group is developing methods for pricing European options. Their approach, detailed in an upcoming Journal of Computational Finance article, focuses on systematically tuning parameters to achieve accuracy while minimizing computational effort. The goal is to enable automated computation of fair prices for options contracts, similar to how insurance companies determine premiums. Why it matters: This research advances computational finance in the region, potentially improving risk management and investment strategies.

The role of data-driven models in quantifying uncertainty

KAUST ·

KAUST Professor Raul Tempone, an expert in Uncertainty Quantification (UQ), has been appointed as an Alexander von Humboldt Professor at RWTH Aachen University in Germany. This professorship will enable him to further his research on mathematics for uncertainty quantification with new collaborators. Tempone believes the KAUST Strategic Initiative for Uncertainty Quantification (SRI-UQ) contributed to this award. Why it matters: This appointment enhances KAUST's visibility and facilitates cross-fertilization between European and KAUST research groups, benefiting both institutions and attracting talent.

Understanding the COVID wave

KAUST ·

KAUST professor David Ketcheson uses mathematical modeling to understand COVID-19 transmission. He applies differential equations to explain the progression of SARS-CoV-2, utilizing the SIR model to predict the spread. Ketcheson's analysis suggests that the reproduction number for COVID-19 could be as high as 5, emphasizing the need for social distancing. Why it matters: This highlights the role of mathematical modeling and data analysis in understanding and predicting the spread of infectious diseases, particularly in the context of pandemic response.

Why the World Cup is a random process with a drift

KAUST ·

KAUST Professor Peter Markowich discusses the role of mathematics in football, describing a match as a random process with a drift. The randomness stems from player conditions, referee decisions, weather, and more, while the drift represents the higher probability of the better team winning. He notes that the complexity arising from 11 players on each side increases the randomness compared to sports like tennis. Why it matters: This perspective highlights the interplay of chance and skill in sports, offering a mathematical lens for understanding game dynamics.

Unlocking coronavirus' secrets through cellphone data and social media

KAUST ·

A KAUST research team is using cellphone mobility data, Google searches, and social media to model and predict COVID-19 spread. The models aim to forecast cases in the coming weeks and inform resource allocation, including hospital beds and medical staff. The team is using aggregated and anonymized data from cellphone companies to respect people's privacy. Why it matters: Integrating real-time digital data with epidemiological modeling can improve the speed and effectiveness of public health responses in the region and globally.

Mathematician Peter Markowich named 2022 AMS Fellow

KAUST ·

KAUST Professor Peter Markowich has been named a 2022 Fellow of the American Mathematical Society (AMS). He is recognized for contributions to partial differential equations, particularly the mathematical and numerical analysis of dispersive equations. Markowich applies differential mathematics to disciplines such as physics, AI, biology and engineering, including research on leaf venation patterns. Why it matters: This recognition highlights KAUST's strength in applied mathematics and its faculty's contributions to both theoretical and interdisciplinary research.

KAUST scientists use new mathematical approach to protect aircraft from 5G interference

KAUST ·

KAUST researchers have developed a new mathematical approach using stochastic geometry to mitigate 5G interference with aircraft radio altimeters. The solution defines ideal exclusion zone shapes around runways to protect aircraft while maximizing 5G performance. Triangular exclusion zones preserve altimeter signals while minimizing the area of lost 5G performance. Why it matters: This research provides a data-driven framework for regulators to balance 5G deployment with aviation safety, addressing a growing concern.

Advances in uncertainty quantification methods

KAUST ·

KAUST hosted the Advances in Uncertainty Quantification Methods, Algorithms and Applications conference (UQAW2016) in January 2016. The event featured 75 presentations and 20 invited speakers from various countries. Professor Raul Tempone presented research on computational approaches to fouling accumulation and wear degradation using stochastic differential equations. Why it matters: This work provides a new computational approach based on stochastic differential equations to predict fouling patterns of heat exchangers which can optimize maintenance operations and reduce engine shut-down periods.