Abstract: This paper addresses the problem of controller design for the stabilization of nonlinear systems described by index-1 differential-algebraic equations. A novel synthesis method is proposed ...

SIAM Journal on Numerical Analysis, Vol. 50, No. 6 (2012), pp. 3351-3374 (24 pages) In this paper quasi-Monte Carlo (QMC) methods are applied to a class of elliptic partial differential equations ...

1 Department of Mathematics, Mawlana Bhashani Science and Technology University, Tangail, Bangladesh. 2 Department of Mathematics, Uttara University, Dhaka, Bangladesh. This study presents a ...

Heat Transfer and Energy Balance in 1D and 2D using Finite Difference Methods and PDE Toolbox Finite Difference and Finite Element Methods for 2D Steady-State Heat Transfer - Indexing variations ...

Abstract: Many problems in science and engineering can be mathematically modeled using partial differential equations (PDEs), which are essential for fields like computational fluid dynamics (CFD), ...

Nonlinear waves; integrable systems; solitons; mathematical modeling in social and behavioral science. The study of wave phenomena by means of mathematical models often leads to a certain class of ...

Please see the Module Guides section on the Course Structure and Content pages of the Department of Mathematics for details on this module.

This project is about using Physics Informed Neural Networks (PINN) to solve unsteady turbulent flows using the Navier-Stokes equations. Specifically, given sparse observations (in this case, a mere 0 ...

Alexandra Twin has 15+ years of experience as an editor and writer, covering financial news for public and private companies. Robert Kelly is managing director of XTS Energy LLC, and has more than ...

AI for Science (AI4S) represents the convergence of artificial intelligence (AI) innovation in scientific research and AI-driven scientific discovery, demonstrating their deep integration 1, and the ...