Mathematics and Applications Colloquium

Virtual Element Approximation of Eigenvalue Problems

Prof. Francesca Gardini, Università di Pavia
Tuesday, April 30, 2024, 16:00
- 17:00
Building 1, Level 3, Room 3119
We will discuss the solution of eigenvalue problems associated with partial differential equations (PDE)s that can be written in the generalised form Ax = λMx, where the matrices A and/or M may depend on a scalar parameter. Parameter dependent matrices occur frequently when stabilised formulations are used for the numerical approximation of PDEs. With the help of classical numerical examples we will show that the presence of one (or both) parameters can produce unexpected results.
Mathematics and Applications Colloquium

Hessian-dependent Functionals: Mean Field Games, Free Boundaries and Improved Regularity

Prof. Edgard Pimentel, Department of Mathematics of the University of Coimbra
Tuesday, March 26, 2024, 16:00
- 17:00
Building 2, Level 5, Room 5220
Hessian-dependent functionals play a pivotal role in a wide latitude of problems in mathematics. Arising in the context of differential geometry and probability theory, this class of problems find applications in the mechanics of deformable media (mostly in elasticity theory) and the modelling of slow viscous fluids. We study such functionals from three distinct perspectives.
Mathematics and Applications Colloquium

WAN Approximation of PDEs: Best Approximation, Stabilization and Boundary Conditions

Prof. Silvia Bertoluzza
Tuesday, March 05, 2024, 16:00
- 17:00
Building 2, Level 5, Room 5209
We present a theoretical analysis of the Weak Adversarial Networks (WAN) method, recently proposed in [1, 2], as a method for approximating the solution of partial differential equations in high dimensions and tested in the framework of inverse problems. In a very general abstract framework.
Mathematics and Applications Colloquium

Critical Phenomena in Financial Markets and Social Networks

Prof. Christof Schmidhuber, ZHAW School of Engineering
Tuesday, February 27, 2024, 16:00
- 17:00
Building 9, Level 2, Room 2322
Contact Person
Gabriel Wittum
Analogies between financial markets and critical phenomena have long been observed empirically. So far, no convincing theory has emerged that can explain these empirical observations. Here, we take a step towards such a theory by modeling financial markets as a lattice gas.
Mathematics and Applications Colloquium

Fast Solution Methods for Wave Propagation Problems: From Classical Domain Decomposition Solvers to Learning

Prof. Dr. Victorita Dolean, Mathematics and Computer Science, Scientific Computing, TU Eindhoven
Tuesday, February 06, 2024, 16:00
- 17:00
Building 2, Level 5, Room 5220
Wave propagation and scattering problems are of huge importance in many applications in science and engineering - e.g., in seismic and medical imaging and more generally in acoustics and electromagnetics.
Short Course

A Posteriori Error Estimation and Adaptivity for Elliptic Interface Problems

Prof. Zhiming Chen, Academy of mathematics and Systems Science, Chinese Academy of Sciences
Wednesday, January 24, 2024, 14:30
- 16:00
Building 4, Level 5, Room 5220
In this short course, we will introduce some elements in deriving the hp a posteriori error estimate for a high-order unfitted finite element method for elliptic interface problems. The key ingredient is an hp domain inverse estimate, which allows us to prove a sharp lower bound of the hp a posteriori error estimator.
Scientific Conference

The capabilities of Summation-by- Parts Operators for Non-linear Stability of Semi- discrete Schemes

Thursday, November 18, 2021, 16:35
- 16:50
KAUST
Contact Person
Saudi Association of Mathematical Sciences (SAMS)

Abstract

We provide an overview of the SBP technique and its applications for mimicking nonlinearl

Scientific Conference

Effective Macroscopic Stochastic Models for Chemical Reactive Flows in Porous Media

Dr. Mogtaba A. Mohammed, Mathematics, Majmaah University, Saudi Arabia
Thursday, November 18, 2021, 14:50
- 15:15
KAUST
Contact Person
Saudi Association of Mathematical Sciences (SAMS)

Abstract

The aim of this work is to present new results on the study of macroscopic behaviour&nbsp

Scientific Conference

Numerical Studies of the Steklov Eigenvalue Problem via Conformal Mappings

Dr. Weaam Alhejaili, Mathematics, Princess Nourah bint Abdulrahman University, Saudi Arabia
Thursday, November 18, 2021, 14:50
- 15:15
KAUST
Contact Person
Saudi Association of Mathematical Sciences (SAMS)

Abstract

In this paper, a spectral method based on conformal mappings is proposed to solve Steklov

Scientific Conference

Unconditionally Stable Linearly Implicit Schemes for Gradient Systems with Quartic Potentials

Safiya Alshehaiween, Mathematics, KFUPM, Saudi Arabia
Thursday, November 18, 2021, 14:25
- 14:50
KAUST
Contact Person
Saudi Association of Mathematical Sciences (SAMS)

Abstract

The discrete gradient method is one of the most prevalent approaches for deriving structu

Scientific Conference

A new geometrical model to solve the puzzle of time and understand the mystery of Dark matter and the magic of Quantum mechanics

Prof. Saoussan Kallel-Jallouli, Mathematics, University Tunis El Manar, Tunisia
Thursday, November 18, 2021, 14:00
- 14:25
KAUST
Contact Person
Saudi Association of Mathematical Sciences (SAMS)

Abstract

A complete description of time remained an unsolved problem for many decades.

Scientific Conference

Marangoni Convection in a Fluid Layer Containing Gyrotactic Microorganism

Prof. Abdullah Ahmad Abdullah, Applied Mathematics, Umm Al-Qura University, Saudi Arabia
Thursday, November 18, 2021, 14:00
- 14:25
KAUST
Contact Person
Saudi Association of Mathematical Sciences (SAMS)

Abstract

The problem of the onset of Marangoni bio-thermal convection is investigated for a horizo

Scientific Conference

Dual and Similarity Solution for Flow and Heat Transfer of Nanofluid Past a Stretching Sheet with Magnetic Induction: Efficiency of Carbon Nanotubes

Prof. Mohammad Ferdows, Applied Mathematics, University of Dhaka, Bangladesh
Thursday, November 18, 2021, 12:00
- 12:40
KAUST
Contact Person
Saudi Association of Mathematical Sciences (SAMS)

Abstract

In this paper, magnetic induction viscous incompressible ow of nanofluid containing carbo

Scientific Conference

Artificial Intelligence for Prediction of Covid-19 New Cases in Saudi Arabia Using Extreme Learning Machine

Dr. Abir Alharbi, Mathematics, King Saud University, Saudi Arabia
Thursday, November 18, 2021, 11:20
- 12:00
KAUST
Contact Person
Saudi Association of Mathematical Sciences (SAMS)

Abstract

In this paper, we are predicting and forecasting the COVID-19 outbreak in Saudi Arabia ba

Scientific Conference

Applications of Non-smooth Differential Inclusions to Real Life Problems

Prof. Messaoud Bounkhel, Applied Mathematics and Mathematical Modeling, King Saud University, Saudi Arabia
Thursday, November 18, 2021, 10:40
- 11:20
KAUST
Contact Person
Saudi Association of Mathematical Sciences (SAMS)

Abstract

In this talk, I will present some of my recent results on the use of nonsmooth analysis a

Scientific Conference

Stochastic Partial Differential Approach for Describing Crystallization Droplets in Water Emulsion

Prof. Mhamed Eddahbi, Mathematics, King Saud University, Saudi Arabia
Thursday, November 18, 2021, 09:10
- 09:50
KAUST
Contact Person
Saudi Association of Mathematical Sciences (SAMS)

Abstract

This paper introduces a new, stochastic mathematical model for the crystallization of emu