Publications by the Mathematics Department faculty members are collected here.

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Submissions from 2018

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Identification of Biologically Essential Nodes via Determinative Power in Logical Models of Cellular Processes, Trevor Pentzien, Bhanwar L. Puniya, Tomáš Helikar, and Mihaela T. Matache

Submissions from 2017

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AN OPTIMAL A POSTERIORI ERROR ESTIMATES OF THE LOCAL DISCONTINUOUS GALERKIN METHOD FOR THE SECOND-ORDER WAVE EQUATION IN ONE SPACE DIMENSION, Mahboub Baccouch

Submissions from 2016

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Analysis of a posteriori error estimates of the discontinuous Galerkin method for nonlinear ordinary differential equations, Mahboub Baccouch

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The Discontinuous Galerkin Finite Element Method for Ordinary Differential Equations, Mahboub Baccouch

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The Discontinuous Galerkin Finite Element Method for Ordinary Differential Equations, Mahboub Baccouch

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ANALYSIS OF OPTIMAL ERROR ESTIMATES AND SUPERCONVERGENCE OF THE DISCONTINUOUS GALERKIN METHOD FOR CONVECTION-DIFFUSION PROBLEMS IN ONE SPACE DIMENSION, Mahboub Baccouch and Helmi Temimi

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Analysis of optimal error estimates and superconvergence of the discontinuous Galerkin method for convection-diffusion problems in one space dimension, Mahboub Baccouch and Helmi Temimi

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Logical Reduction of Biological Networks to Their Most Determinative Components, Mihaela T. Matache and Valentin Matache

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Invertible and normal composition operators on the Hilbert Hardy space of a half–plane, Valentin Matache

Submissions from 2015

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ASYMPTOTICALLY EXACT LOCAL DISCONTINUOUS GALERKIN ERROR ESTIMATES FOR THE LINEARIZED KORTEWEG-DE VRIES EQUATION IN ONE SPACE DIMENSION, Mahboub Baccouch

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Asymptotically exact local discontinuous Galerkin error estimates for the linearized Korteweg-de Vries equation in one space dimension, Mahboub Baccouch

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Difference equation for tracking perturbations in systems of Boolean nested canalyzing functions, Elena S. Dimitrova, Oleg I. Yordanov, and Mihaela T. Matache

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Community Chairs as a Catalyst for Campus Collaboration in STEM, Neal Grandgenett, David Boocker, Hesham Ali, Angela M. Hodge, Brian Dorn, and Christine E. Cutucache

Submissions from 2014

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Global convergence of a posteriori error estimates for a discontinuous Galerkin method for one-dimensional linear hyperbolic problems, Mahboub Baccouch

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GLOBAL CONVERGENCE OF A POSTERIORI ERROR ESTIMATES FOR THE DISCONTINUOUS GALERKIN METHOD FOR ONE-DIMENSIONAL LINEAR HYPERBOLIC PROBLEMS, Mahboub Baccouch

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Superconvergence and a posteriori error estimates of a local discontinuous Galerkin method for the fourth-order initial-boundary value problems arising in beam theory, Mahboub Baccouch

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Sensitivity analysis of biological Boolean networks using information fusion based on nonadditive set functions, Naomi Kochi, Tomáš Helikar, Laura Allen, Jim A. Rogers, Zhenyuan Wang, and Mihaela T. Matache

Submissions from 2013

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Phase transition of Boolean networks with partially nested canalizing functions, Kayse Jansen and Mihaela T. Matache

Submissions from 2012

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Mean-field Boolean network model of a signal transduction network, Naomi Kochi and Mihaela T. Matache

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Numerical Ranges of Composition Operators with Inner Symbols, Valentin Matache

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Composition Operators on a Class of Analytic Function Spaces Related to Brennan's Conjecture, Valentin Matache and Wayne Smith

Submissions from 2011

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Composition Operators Whose Symbols Have Orthogonal Powers, Valentin Matache

Submissions from 2010

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Galerkin methods for parabolic problems, Slimane Adjerid and Mahboub Baccouch

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A new nonlinear classifier with a penalized signed fuzzy measure using effective genetic algorithm, Julia Hua Fang, Maria L. Rizzo, Honggang Wang, Kimberly Espy, and Zhenyuan Wang

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When is the numerical range of a nilpotent matrix circular?, Valentin Matache and Mihaela T. Matache

Submissions from 2009

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On the sensitivity to noise of a Boolean function, Mihaela T. Matache and Valentin Matache

Submissions from 2008

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Dynamical behavior and influence of stochastic noise on certain generalized Boolean networks, Gary L. Beck and Mihaela T. Matache

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Weighted Composition Operators on H² and Applications, Valentin Matache

Submissions from 2007

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Clinical Experience and Examination Performance: Is There a Correlation?, Gary L. Beck, Mihaela T. Matache, Carrie Riha, Katherine Kerber, and Frederick A. McCurdy

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Dynamics of asynchronous random Boolean networks with asynchrony generated by stochastic processes, Xutao Deng, Huimin Geng, and Mihaela T. Matache

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The Stabilizing Effect of Noise on the Dynamics of a Boolean Network, Christopher S. Goodrich and Mihaela T. Matache

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Distances Between Composition Operators, Valentin Matache

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S-Toeplitz Composition Operators, Valentin Matache

Submissions from 2006

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Asynchronous Random Boolean Network Model with Variable Number of Parents based on Elementary Cellular Automata Rule 126, Mihaela T. Matache

Submissions from 2005

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On Convergence to the Denjoy-Wolff Point, P. S. Bourdon, Valentin Matache, and J. H. Shapiro

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Asynchronous random Boolean network model based on elementary cellular automata rule 126, Mihaela T. Matache and Jack Heidel

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Operator Self-Similar Processes On Banach Spaces, Mihaela T. Matache and Valentin Matache

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Queuing Systems with Multiple FBM-Based Traffic Models, Mihaela T. Matache and Valentin Matache

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A Short Proof of a Characterization of Inner Functions in Terms of the Composition Operators they Induce, Valentin Matache

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Convergent Sequences of Composition Operators, Valentin Matache

Submissions from 2004

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Palindrome-Polynomials with Roots on the Unit Circle, John Konvalina and Valentin Matache

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A Random Boolean Network Model and Deterministic Chaos, Mihaela T. Matache and Jack Heidel

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A Fixed Point Theorem for Analytic Functions, Valentin Matache

Submissions from 2001

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Numerical Ranges of Composition Operators, Valentin Matache

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ITERATION OF λ-COMPLETE FORCING NOTIONS NOT COLLAPSING λ+, Andrzej Roslanowski

Submissions from 1994

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Operator Equations and Invariant Subspaces, Valentin Matache

Submissions from 1990

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A Statistical Theory of Digital Circuit Testability, Sharad C. Seth, Vishwani D. Agrawal, and Hassan Farhat

Submissions from 1989

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A Theory of Testability with Application to Fault Coverage Analysis, Sharad Seth, Vishwani Agrawal, and Hassan Farhat

Submissions from 1988

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Test Generation by Fault Sampling, Vishwani Agrawal, Hassan Farhat, and Sharad C. Seth

Submissions from 1987

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Unitary Weighted Composition Operators, Valentin Matache