University of Calgary

Publications - 2002


A hierarchical 3-{D} {P}oisson modified {F}ourier solver by domain decomposition

Israeli, Moshe, Braverman, Elena and Averbuch, Amir

A hierarchical domain decomposition method with low communication overhead

Israeli, M., Braverman, Elena and Averbuch, A.

A Kolmogorov-Smirnov Type Test of Changing Conditional Variances for Threshold Autoregressive Models

Chen, Gemai and M. Chen

An efficient high-order algorithm for solving systems of reaction-diffusion equations

Liao, Wenyuan, Zhu, Jianping and Khaliq, A.Q.

A New Test for Normality in Linear Autoregressive Models

Chen, Gemai and M. CHen, G. Wu

An introduction to sheaves on adic spaces for {$p$}-adic group representation theory

Aubert, A. and Cunningham, Clifton

A nonholonomic oscillator

Cushman, Richard and Sniatycki, Jedrzej

A Note on EWMA Charts for Monitoring Mean Changes in Normal Processes

Chen, Gemai and L. Zhang

A Note on the Parallelogram Method for Computing the On-level Premium

Scollnik, David and Wai Man Sara Lau

An Overlooked Calculus Question

Couch, W.E.

Applications of the hypergeometric method to the generalized Ramanujan-Nagell equation

Bauer, Mark and Bennett, Michael

In this paper, we refine work of Beukers, applying results from the theory of Padé approximation to $(1 - z)^{1/2}$ to the problem of restricted rational approximation to quadratic irrationals. As a result, we derive effective lower bounds for rational approximation to $\sqrt{m}$ (where m is a positive nonsquare integer) by rationals of certain types. For example, we have $\left|\sqrt{2}-\frac{p}{q}\right|\gg q^{-1.47}\quad {\rm and}\quad\left|\sqrt{3}-\frac{p}{q}\right|\gg q^{-1.62},$ provided q is a power of 2 or 3, respectively. We then use this approach to obtain sharp bounds for the number of solutions to certain families of polynomial-exponential Diophantine equations. In particular, we answer a question of Beukers on the maximal number of solutions of the equation $x^2 + D = p^n$ where D is a nonzero integer and p is an odd rational prime, coprime to D.


A {R}amsey theorem for countable homogeneous directed graphs

Sauer, Norbert

Art galleries with guards of uniform range of vision

Toth, Csaba

A signature scheme based on the intractability of computing roots

Biehl, Ingrid, Buchmann, Johannes, Hamdy, Safuat and Meyer, Andreas

Beepers, creepers, and sleepers

Mollin, Richard

Box-Cox Transformations in Linear Models: Large Sample Theory and Tests of Normality (With Discussion)

Chen, Gemai and R.A. Lockhart, M.A. Stephens

Coloring finite substructures of countable structures

Sauer, Norbert

Continued fractions beepers and {F}ibonacci numbers

Mollin, Richard

Convergence Rates of Estimators in Partial Linear Regression Models With MA($\infty$) Error Process

Chen, Gemai and X. Sun, J. You, X. Zhou

Criteria for simultaneous solutions of {$X\sp 2-DY\sp 2=c$} and {$x\sp 2-Dy\sp 2=-c$}

Mollin, Richard

Criteria for the asphericity of 2-complexes

Varadarajan, Kalathoor

$Csp *$-algebras of infinite graphs and Cuntz-Krieger algebras

Brenken, B.

Dynamic and self-stabilizing distributed matching

Chattopadhyay, S., Higham, L. and Seyffarth, Karen

Fast evaluation of 2-{D} and 3-{D} oscillatory integrals with local {F}ourier bases

Averbuch, A., Braverman, Elena, Coifman, R. and Israeli, M.

Filter games on {$\omega$} and the dual ideal

Laflamme, Claude and Leary, Christopher C.

Form domains and eigenfunction expansions for differential equations with eigenparameter dependent boundary conditions

Binding, Paul and {\'C}urgus, Branko

Forty-four years with {P}eter {L}ancaster

Guy, Richard

Full- and partial-range completeness

Binding, Paul

Functional Data Analysis of Human Gait

Araki, Yuko

Heyting algebras and formal languages

Kuich, Werner, Sauer, Norbert and Urbanek, Friedrich

High-resolution stereoscopic digital fundus photography versus contact-lens biomicroscopy for the detection of clinically significant macular edema

Rudnisky, CJ, Hinz, B, Tennant, M, de Leon, Alexander and Greve, M

Homomorphisms of products of graphs into graphs without four cycles

Delhomm{\'e}, Christian and Sauer, Norbert

I{BN} and related properties for rings

Haghany, A. and Varadarajan, Kalathoor

Ideal criteria for both {$X\sp 2-DY\sp 2=m\sb 1$} and {$x\sp 2-Dy\sp 2=m\sb 2$} to have primitive solutions for any integers {$m\sb 1,m\sb 2$} prime to {$D>0$}

Mollin, Richard

Illumination in the presence of opaque line segments in the plane

Toth, Csaba

Implementation of Four Models for Outstanding Liabilities in WinBUGS: A discussion of a paper by Ntzoufras and Dellaportas

Scollnik, David

Improving {R}ogers' upper bound for the density of unit ball packings via estimating the surface area of {V}oronoi cells from below in {E}uclidean {$d$}-space for all {$d\ge8$}

Bezdek, Karoly

Inverse spectral problems for left-definite {S}turm-{L}iouville equations with indefinite weight

Binding, Paul, Browne, Patrick and Watson, Bruce

Isogeny classes of Hilbert-Blumenthal abelian varieties over finite fields

Cunningham, Clifton and Achter, Jeffrey

Limit cycles in ODE models for HIV/AIDS development

Aggarwala, Ben

Line graphs of complete multipartite graphs have small cycle double covers

Fish, J. M., Klimmek, R. and Seyffarth, Karen

Modeling Size of Loss Distributions for Exact Data in WinBUGS

Scollnik, David

Modular arithmetic on elements of small norm in quadratic fields

Jacobson, Jr. and Williams, Hugh

Monodromy of a two degrees of freedom {L}iouville integrable system with many focus-focus singular points

Cushman, Richard and Zhilinskii, Boris

Multivariate simultaneous approximation

Bagby, T., Bos, Len and Levenberg, N.

My life and mathematics

Lancaster, Peter

My thanks to {E}rd{\H o}s {P}\'al

Guy, Richard

New prime-producing quadratic polynomials associated with class number one or two

Mollin, Richard

Nonholonomic reduction for free and proper actions

Cushman, Richard and Sniatycki, Jedrzej

Non-oscillation properties of a linear neutral differential equations

Berezansky, L. and Braverman, Elena

On a BMO-property for subharmonic functions

Brudnyi, Alex

On a semi-spectral method for pricing an option on a mean-reverting asset

Bos, Len, Ware, Antony and Pavlov, B. S.

On cop-win graphs

Laviolette, Fran, Sauer, Norbert and Woodrow, Robert

On cop-win graphs

Laviolette, Fran, Sauer, Norbert and Woodrow, Robert

On oscillation of a differential equation with infinite number of delays

Berezansky, L. and Braverman, Elena

On oscillation of an impulsive logistic equation

Berezansky, Leonid and Braverman, Elena

On oscillation properties of delay differential equations with positive and negative coefficients

Berezansky, Leonid, Domshlak, Yury and Braverman, Elena

On simple-injective rings

Nicholson, W. Keith, Park, Jae, Yousif, M.F. and Yousif, Mohammed

On the asymptotics of {F}ekete-type points for univariate radial basis interpolation

Bos, Len and Maier, U.

On the infinitude of composite {NSW} numbers

Sellers, James A. and Williams, Hugh

On the limit under scaling of polynomial {L}agrange interpolation on analytic manifolds

Bos, Len and Marchi, Stefano

On the maximum number of touching pairs in a finite packing of translates of a convex body

Bezdek, Karoly

On two ODE models for HIV/AIDS development in Canada and a logistic SEIR model

Aggarwala, Ben

Parameter Estimation in a Partly Linear Regression Model With Random Coefficient Autoregressive Errors

Chen, Gemai and J. You

Pellian polynomials and period lengths of continued fractions

Mollin, Richard and Goddard, Bartley

Poisson structures transverse to coadjoint orbits

Cushman, Richard and Roberts, Mark

Preliminary Test Prediction of Population Total under Regression Models with Measurement Error

Kim, Hyang Mi and Saleh, A.K.Md.E

Problems and progress in nonholonomic reduction

Bates, Larry

Pushing disks apart-the {K}neser-{P}oulsen conjecture in the plane

Bezdek, Karoly

Quasi-regression and the relative importance of the {ANOVA} components of a function

Lemieux, Christiane and Owen, Art B.

Recent advances in randomized quasi-{M}onte {C}arlo methods

L'Ecuyer, Pierre and Lemieux, Christiane

Regression Models for Bivariate Loss Data

Scollnik, David

Repeated eigenvectors and the numerical range of self-adjoint quadratic operator polynomials

Lancaster, Peter, Markus, A.S. and Psarrakos, P.

Roots of mappings on nonorientable surfaces and equations in free groups

Goncalves, Daciberg L., Kudryavtseva, Elena and Zieschang, Heiner

Separation in neighbourly 4-polytopes

Bisztriczky, Ted

Sign of the monodromy for {L}iouville integrable systems

Cushman, Richard

Solving the {P}ell equation 

Williams, Hugh

Sources of Nitrate in Rivers Draining Sixteen Watersheds in the Northeastern U.S.: Isotopic Constraints Biogeochemistry 57/58

Mayer, B., Nosal, Miloslav and et, al

Spectral asymptotics for {S}turm-{L}iouville equations with indefinite weight

Binding, Paul, Browne, Patrick and Watson, Bruce

Spectral isomorphisms between generalized {S}turm-{L}iouville problems

Binding, Paul, Browne, Patrick and Watson, Bruce

Sturm-{L}iouville problems with boundary conditions rationally dependent on the eigenparameter. {I}

Binding, Paul, Browne, Patrick and Watson, Bruce

Sturm-{L}iouville problems with boundary conditions rationally dependent on the eigenparameter. {II}

Binding, Paul, Browne, Patrick and Watson, Bruce

Tests for a general two-sample problem using weighted spacings

Burke, Murray

The complex geometry of the spherical pendulum

Beukers, Frits and Cushman, Richard

The {D}iophantine equation {$ax\sp 2-by\sp 2=c$} and simple continued fractions

Mollin, Richard

The {D}iophantine equation {$AX\sp 2-BY\sp 2=C$} solved via continued fractions

Mollin, Richard and Goddard, Bartley

The Dirac Equation in Geometric Quantization

Bona, Andrej

The distribution of values of generalized exponential polynomials on convex sets

Brudnyi, Alex

The elementary solution of triple series equations involving series of {L}egendre polynomials and their application to an electrostatic problem

Singh, B. M., Dhaliwal, Ranjit S. and Rokne, J.

The inquisitive problem solver

Vaderlind, Paul, Guy, Richard and Larson, Loren C.

The k most frequent distances in the palne

József Solymosi, Gábor Tardos and Toth, Csaba

The numerical range of self-adjoint quadratic matrix polynomials

Lancaster, Peter and Psarrakos, P.

Topology of the maximal ideal space of H^\infty

Brudnyi, Alex

Unsolved problems in combinatorial games

Guy, Richard and Nowakowski, Richard
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