Browsing UMBC Mathematics and Statistics Department by Title
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Effect of Exam Wrappers on Student Achievement in Multiple, Large STEM Courses
Metacognition, the ability to think about and regulate one’s thinking, is an important factor in effective student learning. One intervention to promote student metacognition is the exam wrapper—a reflection students ... 
Efficient Computation for a ReactionDiffusion System with a Fast Reaction in Two Spatial Dimensions Using COMSOL Multiphysics
(2009)We study a reactiondiffusion system of three chemical species, where two chemicals react with a much faster rate than the other reaction in the model. We are interested in the asymptotic limit as the rate becomes in finite. ... 
Efficient Computation for a ReactionDiffusion System with a Fast Reaction with Continuous and Discontinuous Initial Data Using COMSOL Multiphysics
(2009)In a chemical reactiondiffusion system with three species, the interaction between diffusion and a fast reaction between two species creates a transient, sharp, internal interface. Besides the three species model, we use ... 
Efficient methods for the estimation of the multinomial parameter for the twotrait group testing model
(2018)Estimation of a single Bernoulli parameter using pooled sampling is among the oldest problems in the group testing literature. To carry out such estimation, an array of efficient estimators have been introduced covering a ... 
Efficient Simulation of a ReactionDiffusion System with a Fast Reaction in the Asymptotic Limit
(20120925)We study a reactiondiffusion system of three chemical species, where two chemicals react with a much faster reaction rate than the other reaction in the model. We are interested in the asymptotic limit as the fast reaction ... 
Enabling Physiologically Representative Simulations of Pancreatic Beta Cells Imbedded in an Islet
(2010)Diabetes is a collection of diseases marked by high levels of glucose in the blood. The condition results from defects in insulin production or function, which are activities performed by the pancreas. Within the endocrine ... 
Enhanced Data Exploration and Visualization Tool for Large SpatioTemporal Climate Data
Predictions of climate variables like precipitation and maximum/minimum temperatures play crucial role in assessing the impact of decadal climate changes on regional water availability. This technical report describes a ... 
Error Estimates for Deep Learning Methods in Fluid Dynamics
In this study, we provide error estimates and stability analysis of deep learning techniques for certain partial differential equations including the incompressible NavierStokes equations. In particular, we obtain explicit ... 
Exact Support and Vector Recovery of Constrained Sparse Vectors via Constrained Matching Pursuit
(20190318)Matching pursuit, especially its orthogonal version and other variations, is a greedy algorithm widely used in signal processing, compressed sensing, and sparse modeling and approximation. Inspired by constrained sparse ... 
Examining the Effect of Introducing a Link from Electrical Excitation to Calcium Dynamics in a Cardiomyocyte
(Illinois State University, 2016)Calcium dysregulation is a signi cant cause of fatal cardiac arrythmias, but it is an incompletely understood phenomenon and diffcult to predict. Cardiac calcium levels can be modeled as a system of partial differential ... 
Fast implementation of mixed RT0 finite elements in MATLAB
We develop a fast implementation of the mixed finite element method for the Darcy’s problem discretized by lowestorder RaviartThomas finite elements using Matlab. The implementation is based on the socalled vectorized ... 
FEM Convergence for PDEs with Point Sources in 2D and 3D
(2015)Numerical theory provides the basis for quantification of the accuracy and reliability of a FEM solution by error estimates on the FEM error vs. the mesh spacing of the FEM mesh. This paper presents techniques needed in ... 
FEM Convergence Studies for 2D and 3D Elliptic PDEs with Smooth and NonSmooth Source Terms in COMSOL 5.1
(2015)Numerical theory provides the basis for quanti cation on the accuracy and reliability of a FEM solution by error estimates on the FEM error vs. the mesh spacing of the FEM mesh. This paper presents techniques needed in ... 
Finite element approximation for timedependent diffusion with measurevalued source
(SpringerVerlag, 20120620)The convergence of finite element methods for elliptic and parabolic partial differential equations is wellestablished if source terms are sufficiently smooth. Noting that finite element computation is easily implemented ... 
Finite Element Convergence for TimeDependent PDEs with a Point Source in COMSOL 4.2
(2011)The FEM theory provides the basis for quantification on the accuracy and reliability of a numerical solution by the a priori error estimates on the FEM error vs. the mesh spacing of the FEM mesh. This paper presents ... 
Finite Element Convergence Studies Using COMSOL 4.0a and LiveLink for MATLAB
(2010)In order to gauge how reasonable a finite element solution to a partial differential equation is on a given mesh, a common strategy is to refine the mesh, compute the solution on the finer mesh, and use the solutions on ... 
Flipping the switch on the hub cell: Islet desynchronization through cell silencing
(PLOS, 20210408)Pancreatic β cells, responsible for secreting insulin into the bloodstream and maintaining glucose homeostasis, are organized in the islets of Langerhans as clusters of electrically coupled cells. Gap junctions, connecting ... 
Fully Distributed Optimization based CAV Platooning Control under Linear Vehicle Dynamics
This paper develops distributed optimization based, platoon centered CAV car following schemes, motivated by the recent interest in CAV platooning technologies. Various distributed optimization or control schemes have been ... 
A generalized model of flocking with steering
(20210207)We introduce and analyze a model for the dynamics of flocking and steering of a finite number of agents. In this model, each agent's acceleration consists of flocking and steering components. The flocking component is a ... 
A GPU Memory System Comparison for an Elliptic Test Problem
This paper presents GPUbased solutions to the Poisson equation with homogeneous Dirichlet boundary conditions in two spatial dimensions. This problem has wellunderstood behavior, but similar computation to many more ...