Kossi Edoh

Numerical Approximation of Rough Invariant Curves of Planar Maps

In this paper we describe a simple algorithm for the approximation of an invariant curve

Computation of Lyapunov-Type Numbers for Invariant Curves of Planar Maps

\Gamma

Multilevel TV Denoising Methods for Anisotropic Tensor Product Wavelets

of a planar map

Instructional Selection of Active Learning and Traditional Courses Increases Student Achievement in College Mathematics.

f

Reconfiguration graphs of shortest paths

. We are particularly interested in the case where

Nature of nonlinear mechanisms in the generation and propagation of sound in the cicada mating call

\Gamma

Buckling as a source of sound, with application to the modeling of cicada sound generation

is attracting but not smooth. Results for the delayed logistic map illustrate the performance of the algorithm.

2-Dimensional Geometric Transforms for Edge Detection

Invariant manifolds play an important role in the study of dynamical systems, and it is often crucial to know when they persist under small perturbations of the system. Sufficient conditions for persistence have been formulated in the literature in terms of so-called Lyapunov-type numbers, which measure and compare attractivity rates. The numerical evaluations of these numbers in a simple setting is the subject of this paper. We consider planar diffeomorphisms depending on a parameter; the diffeomorphisms have invariant curves which deform as the parameter changes. The Lyapunov-type numbers are then monitored as functions of parameter and are related to the dynamics on the invariant curves. As an example, we consider the delayed logistic map. We also describe how the invariant curves have been computed.

Modelling by a planar map: Lyapunov-type numbers in the presence of spiral points

In the paper we review an adaptive multilevel total variational (TV) method for image denoising which utilizes TV partial differential equation (PDE) model and exploits the multiresolution properties of wavelets. The adaptive multilevel TV method provides fast adaptive adaptive wavelet-based solvers for the TV model. The algorithm inherently combines the denoising property of wavelet compression algorithms with that of the TV model, and produces results superior to each method when implemented alone. We consider various anisotropic tensor product wavelet families including Daubechies wavelets, symmlets and coiflets.

A Fast Wavelet Multilevel Approach to Total Variation Image Denoising

In this paper, we present the results of a study indicating that groups predominantly underrepresented in mathematics prefer to have a choice of instructional method. We use the concept of differentiated instruction to explain how different groups of students might perform better using various instructional techniques. Our study, which is based on student self-selection of traditional or active learning sections of a course, also presents evidence that using different instructional strategies in different sections of the same course is preferable to adopting only a single instructional method. In addition, we present evidence that student instructional selection improves student achievement in college level mathematics courses.