Publications from the Department of Mathematics faculty at the University of Rhode Island.

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Submissions from 2013

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Preservation of external rays in non-autonomous iteration, Mark Comerford and Todd Woodard

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Global Dynamics of Three Anticompetitive Systems of Difference Equations in the Plane, M. DiPippo and Mustafa Kulenovic

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On the Erdos-Sós conjecture for graphs having no path with k + 4 vertices, Nancy Eaton and Gary Tiner

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Global Dynamics of Certain Homogeneous Second-Order Quadratic Fractional Difference Equation, M. Garić-Demirović, Mustafa RS Kulenović, and N. Nurkanović

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Existence of a period-two solution in linearizable difference equations, E. J. Janowski and M. R.S. Kulenović

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Existence of a Period-Two Solution in Linearizable Difference Equations, E. J. Janowski and Mustafa RS Kulenović

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Global dynamics of an anti-competitive system of rational difference equations in the plane, S. Kalabušić, M. R.S. Kulenović, and E. Pilav

Global dynamics of anti-competitive systems in the plane, S. Kalabusǐć, M. R.S. Kulenović, and E. Pilav

Submissions from 2012

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Basins of attraction of equilibrium points of second order difference equations, M. Garić-Demirović, M. R.S. Kulenović, and M. Nurkanović

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Global behavior of a two-dimensional competitive system of difference equations with stocking, M. R.S. Kulenović and M. Nurkanović

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Two-grid mixed finite-element methods for nonlinear Schrödinger equations, Li Wu

Submissions from 2011

Global attractivity results in partially ordered complete metric spaces, A. Brett, M. R.S. Kulenović, and S. Kalabušić

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Non-autonomous Julia sets with escaping critical points, Mark Comerford

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Short separating geodesics for multiply connected domains, Mark Comerford

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Dynamics of certain anti-competitive systems of rational difference equations in the plane, S. Kalabušić and M. R.S. Kulenović

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Dynamics of a two-dimensional system of rational difference equations of Leslie-Gower type, S. Kalabušić, M. R.S. Kulenović, and E. Pilav

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Multiple attractors for a competitive system of rational difference equations in the plane, S. Kalabušić, M. R.S. Kulenovič, and E. Pilav

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Dynamics of a two-dimensional system of rational difference equations of Leslie--Gower type, S. Kalabušić, Mustafa Kulenović, and E. Pilav

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Multiple Attractors for a Competitive System of Rational Difference Equations in the Plane, S. Kalabušić, Mustafa R. S. Kulenović, and E. Pilav

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Analysis of sustainable pest control using a pesticide and a screened refuge, John Ringland and Prasanth George

Two-grid strategy for unsteady state nonlinear Schrödinger equations, Li Wu

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A single-node characteristic collocation method for unsteady-state convection-diffusion equations in three-dimensional spaces, Li Wu and Kaixin Wang

Submissions from 2010

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Cubic polynomial maps with periodic critical orbit, part II: Escape regions, Araceli Bonifant, Jan Kiwi, and John Milnor

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Errata for "cubic polynomial maps with periodic critical orbit, part II: Escape regions" Araceli Bonifant, Jan Kiwi, and John Milnor, Araceli Bonifant, Jan Kiwi, and John Milnor

On the Erdös-Sós conjecture and graphs with large minimum degree, Nancy Eaton and Gary Tiner

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Random dispersal in a predator-prey-parasite system, Sophia R.-J. Jang, James Baglama, and Li Wu

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Invariant manifolds for competitive discrete systems in the plane, M. R.S. Kulenović and Orlando Merino

Submissions from 2009

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Global Behavior of Solutions to Two Classes of Second-Order Rational Difference Equations, Sukanya Basu and Orlando Merino

Global behavior of two competitive rational systems of difference equations in the plane, A. Brett, M. R.S. Kulenović, M. Garić-Demirović, and M. Nurkanović

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Global Attractivity Results for Mixed-Monotone Mappings in Partially Ordered Complete Metric Spaces, Dž Burgić, S. Kalabušić, and Mustafa R. Kulenović

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Rational systems in the plane, E. Camouzis, M. R.S. Kulenovic, G. Ladas, and O. Merino

On the global character of the system xn+1=α1+γ1yn/xn and yn+1= β2xn+γ2yn/B2xn+C2yn, E. Camouzis, G. Ladas, and L. Wu

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Global Behavior of Four Competitive Rational Systems of Difference Equations in the Plane, M. Garlić-Demirović, Mustafa R. Kulenović, and M. Nurkanović

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Continuous-time predator–prey models with parasites, Sophia R.-J. Jang and James Baglama

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Attractivity and global stability for linearizable difference equations, E. Janowski and M. R.S. Kulenović

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Global Dynamics of a Competitive System of Rational Difference Equations in the Plane, S. Kalabušic, Mustafa R. Kulenović, and E. Pilav

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Global bifurcation for discrete competitive systems in the plane, M. R.S. Kulenović and Orlando Merino

Submissions from 2008

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Augmented Block Householder Arnoldi Method, James Baglama

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Computations with quasiseparable polynomials and matrices, T. Bella, Y. Eidelman, I. Gohberg, and V. Olshevsky

Global dynamics of a rational system of difference equations in the plane, Dž Burgić, M. R.S. Kulenović, and M. Nurkanović

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Plankton-toxin interaction with a variable input nutrient, Sophia R.-J. Jang, James Baglama, and Johannes Rick

Submissions from 2007

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Augmented GMRES-type methods, James Baglama and Lothar Reichel

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Decomposition methods for large linear discrete ill-posed problems, James Baglama and Lothar Reichel

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Elliptic curves as attractors in ℙ2 part 1: Dynamics, Araceli Bonifant, Marius Dabija, and John Milnor

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Global asymptotic behavior of yn+1 = (pyn + yn-1)/(r + qyn + yn-1), A. Brett and M. R.S. Kulenović

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ROBUST POPULATION MANAGEMENT UNDER UNCERTAINTY FOR STRUCTURED POPULATION MODELS, A. Deines, E. Peterson, D. Boeckner, J. Boyle, A. Keighley, J. Kogut, J. Lubben, R. Rebarber, R. Ryan, B. Tenhumberg, S. Townley, and A. J. Tyre

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Tree representations of graphs, Nancy Eaton, Zoltán Füredi, Alexandr V. Kostochka, and Jozef Skokan

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Stability of the KTH order lyness' equation with a period-k coefficient, E. J. Janowski, M. R.S. Kulenović, and Z. Nurkanović

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Stability analysis of Pielou's equation with period-two coefficient, M. R.S. Kulenović and Orlando Merino

Submissions from 2006

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Restarted block Lanczos bidiagonalization methods, James Baglama and Lothar Reichel

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Periodic solutions of arbitrary length in a simple integer iteration, Dean S. Clark

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Nutrient-phytoplankton-zooplankton models with a toxin, S. R.-J. Jang, J. Baglama, and J. Rick

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A note on unbounded solutions of a class of second order rational difference equations, M. R.S. Kulenović and O. Merino

A global attractivity result for maps with invariant boxes, M. R.S. Kulenović and Orlando Merino

Competitive-exclusion versus competitive-coexistence for systems in the plane, M. R.S. Kulenović and Orlando Merino

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Global attractivity of the equilibrium of for q < p, M. R.S. Kulenović and Orlando Merino

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Asymptotic behavior of a competitive system of linear fractional difference equations, Mustafa Kulenovic and M. Nurkanović

Submissions from 2005

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BIT Numerical Mathematics: Editorial, Krister Åhlander, Edward Allen, Alexander I. Aptekarev, Mario Arioli, Martin Arnold, Mohammad Asadzadeh, James Baglama, Christophe Bailly, Christopher Baker, Sören Bartels, Abderrahmane Bendali, Michele Benzi, Fredrik Berntsson, Dimitri Breda, Hermann Brunner, Stefano Serra Capizzano, Jeff Cash, Raymond Chan, Shivkumar Chandrasekaran, Xiao Wen Chang, I. Liang Chern, Michel Crouzeix, Marnix Van Daele, Arne Christian Damhaug, Tim Davis, Oleg Davydov, Luca Dieci, Jerry Eriksson, Lars Erik Eriksson, and Terje Espelid

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Augmented Implicitly Restarted Lanczos Bidiagonalization Methods, James Baglama and Lothar Reichel

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Stability of the Gumowski-Mira equation with period-two coefficient, C. A. Clark, E. J. Janowski, and M. R.S. Kulenović

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On a system of rational difference equations, C. A. Clark, M. R.S. Kulenović, and James F. Selgrade

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Droop models of nutrient–plankton interaction with intratrophic predation, S. R.-J. Jang and J. Baglama

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Nutrient-plankton models with nutrient recycling, S. R.-J. Jang and J. Baglama

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Intratrophic predation in a simple food chain with fluctuating nutrient, S. R.-J. Jang, J. Baglama, and P. Seshaiyer

Sequences and series of functions, Barbara Kaskosz

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The amplitudes of nonlinear oscillations, M. R.S. Kulenović and N. Moussa

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Global behavior of a three-dimensional linear fractional system of difference equations, M. R.S. Kulenović and E. Nurkanović

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Asymptotic behavior of a system of linear fractional difference equations, Mustafa RS Kulenović and M. Nurkanović

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On cover graphs and dependent arcs in acyclic orientations, V. Rödl and L. Thoma

Submissions from 2004

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Progress report on rational difference equations, E. A. Grove, M. R.S. Kulenović, and G. Ladas

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Rate of convergence of solutions of rational difference equation of second order, Senadak Kalabušić and M. R.S. Kulenović

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Dynamics of the recursive sequence Xn+1 = βX n-1+δXn-k/BXn-1+DXn-k, S. Kalabušić, M. R.S. Kulenović, and C. B. Overdeep

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On the dynamics of xn+1 = pn + xn-1/x n with a period-two coefficient, M. R.S. Kulenović, G. Ladas, and C. B. Overdeep

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Compensatory versus overcompensatory dynamics in density-dependent Leslie models, M. R.S. Kulenović and Abdul Aziz Yakubu

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Bipartite subgraphs and quasi-randomness, Jozef Skokan and Lubos Thoma

Velocity changes in a model study of propagation in a ring of stretched ventricular myocytes, Frederick J. Vetter, Haiyan Sui, Hong Liu, and Li Wu

Parameter estimation for biochemical pathways by resolving inconsistent experimental data, Jiang Wu, Ying Sun, Li Wu, and Robert L. Rodgers

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An Eulerian-Lagrangian Single-Node Collocation Method for Transient Advection-Diffusion Equations in Multiple Space Dimensions, Li Wu and Hong Wang

Submissions from 2003

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IRBL: An Implicitly Restarted Block-Lanczos Method for Large-Scale Hermitian Eigenproblems, James Baglama, D. Calvetti, and L. Reichel

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Algorithm 827: Irbleigs: A MATLAB program for computing a few eigenpairs of a large sparse Hermitian matrix, J. Baglama, D. Calvetti, and L. Reichel

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IRBL: An implicitly restarted block-Lanczos method for large-scale Hermitian eigenproblems, J. Baglama, D. Calvetti, and L. Reichel

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Global asymptotic behavior of a two-dimensional difference equation modelling competition, Dean Clark, M. R.S. Kulenović, and James F. Selgrade

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Nonoscillatory solutions for system of neutral delay equation, H. El-Metwally, M. R.S. Kulenović, and S. Hadžiomerspahić

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Persistence in variable-yield nutrient-plankton models, S. R.-J. Jang and J. Baglama

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On the recursive sequence xn+1 = γxn-1+δxn-2/Cxn-1+Dxn-2, S. Kalabušić and M. R.S. Kulenović

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An optimal algorithm for checking regularity, Y. Kohayakawa, V. Rödl, and L. Thoma

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The dynamics of xn+1 = α+βxn/A+Bxn+Cxn-1 facts and conjectures, M. R.S. Kulenović, G. Ladas, L. F. Martins, and I. W. Rodrigues

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On the Dynamics of Xn+1 = pn + Xn-1/X n, M. R.S. Kulenović, G. Ladas, and C. B. Overdeep

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Global asymptotic behavior of a two-dimensional system of difference equations modeling cooperation, M. R.S. Kulenović and M. Nurkanović

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A nonconventional Eulerian-Lagrangian single-node collocation method with hermite polynomials for unsteady-state advection-diffusion equations, Li Wu, Hong Wang, and George F. Pinder

Submissions from 2002

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A coupled system of rational difference equations, D. Clark and M. R.S. Kulenović

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On pebbling threshold functions for graph sequences, Andrzej Czygrinow, Nancy Eaton, Glenn Huribert, and P. Mark Kayll

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On the trichotomy character of Xn+1 = (α + βXn + γXn-1)/(A + Xn), C. H. Gibbons, M. R.S. Kulenović, G. Ladas, and H. D. Voulov

On the stability of solutions of certain systems of differential equations with piecewise constant argument, S. R. Grace, M. R.S. Kulenović, and H. El-Metwally

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On the stability of solutions of certain systems of differential equations with piecewise constant argument, S. R. Grace, Mustafa Kulenović, and H. El-Metwally

An optimal algorithm for checking regularity (extended abstract), Y. Kohayakawa, V. Rodl, and L. Thoma

Discrete dynamical systems and difference equations with mathematica, Mustafa R.S. Kulenović and Orlando Merino

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Multiphase groundwater flow and transport using a new localized collocation method (LOCOM), M. McKay, G. F. Pinder, F. Fedele, J. Guarnaccia, and Li Wu

Submissions from 2001

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On the recursive sequence xn+1 = α+βxn/Bxn+Cxn-1, K. Cunningham, M. R.S. Kulenović, G. Ladas, and S. V. Valicenti

Dynamics of second order rational difference equations: With open problems and conjectures, M. R.S. Kulenović and G. Ladas