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Texas A&M University
Mathematics

AMUSE

Fall 2018

 

Date:September 5, 2018
Time:6:00pm
Location:BLOC 220
Speaker:Dr. Goong Chen, Department of Mathematics, Texas A&M University
Title:Computational Forensics for the Laptop Bombing Case of Daallo Airlines Flight 159 in 2016
Abstract:Daallo Airlines is a Somalia-owned Airlines with hub located in the Djibouti-Ambouli International Airport in Djibouti. On February 2, 2016, its flight 159 en route from Mogadishu to Djibouti, a suicide bomber from the Islamic militant group Al-Shabaab built an explosive device into a laptop computer and set it off on the plane at an altitude of about 14,000ft (4,300m), five minutes after taking off from Mogadishu, Somalia. The explosion blew a large hole in the fuselage. However, pilots were able to land the plane safely back at the airport in Mogadishu, Somalia. This is a most recent major terrorist airplane bombing case. In this talk, the speaker will first present examples of several past airplane bombing cases. We view what may happen when a large amount of explosives is detonated inside aiming at destroying an airliner. Some photographic evidence will also be discussed. Then he will introduce the modeling and computational forensics regarding this particular Daallo Airlines bombing case, where only a small amount of explosives is used The mathematical and computer modeling of viscoplasticity, fracture and explosion by LS-DYNA will be used to study this problem and computed on the supercomputer at Texas A&M University's High Performance Research Computing Center. One can approximately deduce the size and shape of the hole on the airplane according to the amount and location of the explosives, and then make the damage assessments accordingly. Our numerical results have shown that the airframe's bracing ribs can have beneficial protective effects against onboard explosion. The validation of our model and computation is done by comparing numerical results against the detonation of spherical explosives set on steel plates. Visualization of airplane bombing can be seen from video animations of the postprocessed supercomputer results. The associated physical phenomena will also be interpreted.

Date:September 12, 2018
Time:6:00pm
Location:BLOC 220
Speaker:Jay Standridge, Undergraduate Student, Department of Aerospace Engineering, TAMU
Title:Approximating the solutions to differential equations using orthogonal polynomials
Abstract:The topic of differential equations is an ever growing one. However, as in many mathematical problems, numerical methods are extremely useful, if not necessary. In this talk, we will explore the use numerical methods to solve differential equations, how two polynomials can be considered orthogonal, and how we can use a set of orthogonal polynomials to approximate the solution to differential equations, as well as the efficacy and limits of doing so. In short, one is able to solve an arbitrary linear differential operator with appropriate initial and/or boundary values to 6-16 decimal places depending on the difficulty of the problem and how many polynomials are used in the solution.

Date:September 19, 2018
Time:6:00pm
Location:2nd Floor Patio
Speaker:Undergraduate Students, Department of Mathematics, Texas A&M University
Title:Mathematics Undergraduate Research Expo

Date:September 26, 2018
Time:6:00pm
Location:BLOC 220
Speaker:Dr. JoungDong Kim, Department of Mathematics, TAMU
Title:Difference Quotient and its applications. (From Calculus to CFD)
Abstract:In this talk we will discuss about the definition of derivative(in Calculus) and how we can use it for numerical PDE problems (CFD). As an applications, I will introduce the Front Tracking method that is a numerical algorithm which assigns special degrees of freedom to a surface, moving dynamically through a background grid. Front Tracking applies finite difference method and treat the discontinuity as interior boundaries. The talk will give you couple of numerical results too.

Date:October 3, 2018
Time:6:00pm
Location:BLOC 220
Speaker:Dr. Iman Borazjani, Department of Mechanical Engineering, Texas A&M University
Title:Scientific computing: biofluids applications
Abstract:Computational tools can play a major role in driving discovery in many challenging problems facing society today. Nevertheless, biological application typically involve complex shapes, moving boundaries, fluid-structure interactions, pulsatile flows, and a wide range of scales, which is quite challenging even to the most advanced numerical techniques. In this talk, an overview of a numerical method that overcomes some of these challenges in presented. Then two specific examples in which scientific computing has led to solving real world problems and discovery will be discussed.

Date:October 10, 2018
Time:6:00pm
Location:BLOC 220
Speaker:Dr. Reza Langari, Department of Mechanical Engineering, Texas A&M University
Title:Computational Model of Human Driving for Autonomous Driving
Abstract:In this presentation, we consider how a combination of mathematical tools ranging from predictive modeling to game theory to Markov decision processes can be used to devise suitable models of human driving for automated vehicles. The intent is to show how human driving can be modeled in algorithmic form and used to design collision free path planning and control strategies for these vehicles. The use of mathematical tools is essential in this process as one must have efficient ways to represent human driving behavior. For instance, a multitude of rules of thumb will not be sufficient for the purpose at hand. These algorithms are matched against human driver behavior in driving simulator studies, thereby proving their effectiveness. We demonstrate the utility of the approach using high fidelity simulation models of multilane highway driving in mandatory and discretionary lane changing settings.

Date:October 24, 2018
Time:6:00pm
Location:BLOC 220
Speaker:Mohammad Aramfard, PhD Student, Department of Mechanical Engineering, Texas A&M University
Title:“Heaven of Mathematicians”; An Introduction to Numerical Methods in Mechanics
Abstract:Mechanics is considered to be a fertile field for many branches of mathematics to be born or flourish including calculus of variation and partial differential equations, among others. In this presentation some main branches of mathematics used in mechanics are explained and an overview of numerical methods is presented. Numerical methods are used to solve problems which are difficult or impossible to be solved analytically. Among famous numerical methods used to study systems at atomistic scales, Molecular Dynamics is versatile and easy to use. This method can be used to model individual atoms in different systems from biological to metallic materials.

Date:October 31, 2018
Time:6:00pm
Location:BLOC 220
Speaker:Dr. Kamran Entesari, Department of Electrical&Computer Engineering, Texas A&M
Title:Maxwell’s equations and electromagnetic wave propagation
Abstract:The physical meaning behind each of four Maxwell’s equations and their mathematical representation using vector calculus are first presented. Then , electromagnetic wave equations are derived using Maxwell’s equations and their solutions along with their practical implications are investigated.

Date:November 7, 2018
Time:6:00pm
Location:BLOC 220
Speaker:Dr. Peter Kuchment, Texas A&M University, Department of Mathematics
Title:Our Mathematical Universe
Abstract:Everyone knows that "mathematics is useful in sciences, engineering, etc." However, no one has been able to answer the question "WHY does this happen?" The talk will contain a discussion of (not an answer to) this question, accompanied by considerations of various major historical developments in mathematics.

Date:November 14, 2018
Time:6:00pm
Location:BLOC 220
Speaker:Dr. Joseph Ward, Department of Mathematics, Texas A&M University
Title:Multivariate Interpolation with Applications
Abstract:As is well known, univariate interpolation by polynomials is well understood, easy to implement (usually) and has many applications. In the multivariate setting, interpolation by polynomials is far more complicated while the need to interpolate (or almost interpolate) data is very important. In this talk we will discuss how to interpolate data with multivariate polynomials but stress that there are far more effective ways to accomplish this goal. Several applications of multivariate interpolation will be given as well.

Date:November 28, 2018
Time:6:00pm
Location:BLOC 220
Speaker:Dr. Alexey Belyanin, Department of Physics and Astronomy, Texas A&M University
Title:Lasers meet nanotechnology
Abstract:Modern nanotechnology enables precise quantum “engineering” of quantum states of individual electrons in crystals and their coupling to light. Advances in nanotechnology have led to the appearance of microscopic lasers with functionalities that would be considered science fiction just a few years ago. I will discuss how fundamental laws of quantum mechanics and electromagnetism enable several recent additions to a zoo of lasers: lasers for the Internet, lasers that can “see through the wall”, quantum cascade lasers, laser frequency combs, laser radio, and lasers that can detect one molecule hidden within a trillion other molecules. This is like finding a needle in a haystack the size of Kyle Field.