Explore a selection of works produced by faculty in the Department of Mathematical Sciences at Michigan Technological University.

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Works from 1997

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Extending and lengthening BCH codes, Jürgen Bierbrauer and Yves Edel

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Embedding partial geometries in Steiner designs, Andries Brouwer, Willem Haemers, and Vladimir Tonchev

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Twisted BCH-codes, Yves Edel and Jürgen Bierbrauer

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A Class of Extremal Functions and Trigonometric Polynomials, Jeffrey J. Holt

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Computational results for the known biplanes of order 9, J. D. Key and Vladimir Tonchev

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On steiner 3-wise balanced designs of order 17, E. S. Kramer, D. L. Kreher, and Rudolf Mathon

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Binary codes derived from the Hoffman-Singleton and Higman-Sims graphs, Vladimir Tonchev

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Steiner triple systems of order 15 and their codes, Vladimir Tonchev and Robert Weishaar

Works from 1996

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Second order evolution equations with dynamic boundary conditions, Kevin T. Andrews, K. L. Kuttler, and M. Shillor

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On the binary codes of Steiner triple systems, Alphonse Baartmans, Ivan Landjev, and Vladimir Tonchev

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Automorphism Groups of Tree Actions and of Graphs of Groups, Hyman Bass and Renfang Jiang

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Bounding Elastic Constants of an Orthotropic Polycrystal using Measurements of the Microstructure, M. J. Beran, T. A. Mason, B. L. Adams, and T. Olsen

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Concerning difference matrices, Charles J. Colbourn and Donald L. Kreher

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Random covering designs, Anant P. Godbole and Svante Janson

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Spreads in strongly regular graphs, Willem Haemers and Vladimir Tonchev

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On a form of the Erdos-Turán inequality, Jeffrey J. Holt

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A family of resolvable regular graph designs, Donald L. Kreher, Gordon F. Royle, and W. D. Wallis

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Classification of affine resolvable 2-(27, 9, 4) designs, Clement Lam and Vladimir Tonchev

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On the minimal number of even submatrices of 0-1 matrices, Iosif Pinelis

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Bounded automorphisms of surfaces, Jiang Renfang

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A class of Steiner 4‐wise balanced designs derived from preparata codes, Vladimir Tonchev

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The uniformly packed binary [27,21,3] and [35,29,3] codes☆, Vladimir Tonchev

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The existence of certain extremal [54,27,10] self-dual codes, Vladimir Tonchev and V. Y. Yorgov

Works from 1995

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A2-codes from universal hash classes, Jürgen Bierbrauer

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Bounds on orthogonal arrays and resilient functions, Jürgen Bierbrauer

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Partial steiner triple systems with equal-sized holes, Charles J. Colbourn, Charles A. Cusack, and Donald L. Kreher

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Large sets of 3‐designs from psl(2, q), with block sizes 4 and 5, C. A. Cusack, S. W. Graham, and D. L. Kreher

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Singly-even self-dual codes and Hadamard matrices, Masaaki Harada and Vladimir Tonchev

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The existence of extremal self-dual [50,25,10] codes and quasi-symmetric 2-(49,9,6) designs, W. Cary Huffman and Vladimir Tonchev

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On quasi-symmetric 2-(28,12,11) and 2-(36,16,12) designs, Clement Lam, Larry Thiel, and Vladimir Tonchev

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Linear codes and doubly transitive symmetric designs, Christopher Parker and Vladimir Tonchev

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Smoothed particle hydrodynamics stability analysis, J. W. Swegle, D. L. Hicks, and S. W. Attaway

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The bigraphical t‐wise balanced designs of index two, Lisa M. Weiss and Donald L. Kreher

Submissions from 1994

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The preparata codes and a class of 4‐designs, Alphonse Baartmans, Iliya Bluskov, and Vladimir Tonchev

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A Poisson approximation for the number of k-matches, Patrick D. Burghardt, Anant P. Godbole, and Amy B. Prengaman

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Evaluating forest stress factors using various forest growth modeling approaches, Paul V. Desanker, David D. Reed, and Elizabeth A. Jones

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Cauchy-Difference Conservative Vector Fields for Dimension Two and Three, K. J. Heuvers

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Eigenform error estimates of computational material dynamics with shocks. 1.1. Hooke's law materials, D. L. Hicks, L. M. Liebrock, and Y. Wen

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The bigraphical t‐wise balanced designs of index 1, Dean G. Hoffman and Donald L. Kreher

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Linear solvation energy relationship of the solubility of very polar gases: Sulfur dioxide, hydrogen chloride, hydrogen bromide, and ammonia, Dean C. Luehrs and Kalpana A. Godbole

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An inversion relation of multinomial type, Daniel Moak, Konrad Heuvers, K. P.S. Bhaskara Rao, and Karen Collins

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Designs with the symmetric difference property on 64 points and their groups, Christopher Parker, Edward Spence, and Vladimir Tonchev

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On a majorization inequality for sums of independent random vectors, Iosif Pinelis

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The time until the final zero crossing of random sums with application to nonparametric bandit theory, I. Pinelis and S. Yakowitz

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Asymptotics for multivariate t-statistic and hotelling′s T < sup> 2 -statistic under infinite second moments via bootstrapping, Steven J. Sepanski

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A process-based growth model for young red pine, Yunfeng Zhang, David D. Reed, Peter J. Cattelino, Margaret R. Gale, Elizabeth A. Jones, Hal O. Liechty, and Glenn D. Mroz

Submissions from 1993

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On the extendability of steiner t‐designs, Alphonse Baartmans, Ian Blake, and Vladimir Tonchev

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Moments of gaps between k-free numbers, S. W. Graham

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A design and a code invariant under the simple group Co3, Willem Haemers, Christopher Parker, Vera Pless, and Vladimir Tonchev

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Answering von Neumann's conjecture on convergence of averages and analyzing the von Neumann-Richtmyer scheme via a material averaging method, D. L. Hicks, K. L. Kuttler, L. M. Liebrock, and C. E. Southwell

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An infinite family of (simple) 6‐designs, Donald L. Kreher

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Initial-boundary value problems for model D (a discrete hydrodynamical model) with stress boundary conditions are globally well posed, K. L. Kuttler and D. L. Hicks

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A symmetric 2‐(160, 54, 18) design, Edward Spence, Vladimir Tonchev, and Tran van Trung

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Quasi-symmetric designs, codes, quadrics, and hyperplane sections, Vladimir Tonchev

Works from 1992

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Product integration for finite-part singular integral equations: Numerical asymptotics and convergence acceleration, B. Bertram and O. Ruehr

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Concerning multiplier automorphisms of cyclic Steiner triple systems, Charles Colbourn, Eric Mendelsohn, Cheryl Praeger, and Vladimir Tonchev

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Correlation of the Eluting Strengths of Solvents in Adsorption Chromatography with Solvatochromic Parameters, Dean C. Luehrs, David J. Chesney, and Kalpana A. Godbole

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Extremal self-dual codes from symmetric designs, Edward Spence and Vladimir Tonchev

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Some small non-embeddable designs, Vladimir Tonchev

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On Kirkman triple systems of order 33, Vladimir Tonchev and Scott Vanstone

Works from 1991

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On the covering of t-sets with (t + 1)-sets:C(9, 5, 4) and C(10, 6, 5), D. de Caen, D. L. Kreher, S. P. Radziszowski, and W. H. Mills

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On Cauchy differences of all orders, B. R. Ebanks, K. J. Heuvers, and C. T. Ng

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An approximation method for eigenvectors of very large matrices, D. J. Groh, R. A. Marshall, A. B. Kunz, and C. R. Givens

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The solution of the Binet-Cauchy functional equation for square matrices, Konrad J. Heuvers and Daniel S. Moak

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Parallel algorithms for implicit material dynamics schemes, Darrell L. Hicks and Lorie M. Liebrock

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Seasonal shoot growth of planted red pine predicted from air temperature degree days and soil water potential, Elizabeth A. Jones, David D. Reed, Peter J. Cattelino, and Glenn D. Mroz

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Finite rise time step strain modeling of nearly monodisperse polymer melts and solutions, R. W. Kolkka, D. S. Malkus, and T. R. Rose

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Regularity of the Displacement in a One-Dimensional Viscoelastic Material, Kenneth Kuttler

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A gradient flow theory of plasticity for granular materials, I. Vardoulakis and E. C. Aifantis

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Implicit Spectral Methods for Wave Propagation Problems, Stephen B. Wineberg, Joseph F. McGrath, Edward F. Gabl, L. Ridgway Scott, and Charles E. Southwell

Works from 1990

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Predicates whose maximal length functions increase periodically, Michael Gilpin and Robert Shelton

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Degenerate and poisson convergence criteria for success runs, Anant P. Godbole

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Specific formulae for some success run distributions, Anant P. Godbole

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A characterization of Cauchy kernels, K. J. Heuvers

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The Binet-Cauchy Functional Equation and Nonsingular Multiindexed Matrices, Konrad J. Heuvers and Daniel S. Moak

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A note on the paper "On the Thermodynamic Theory of Fluid Interfaces: Infinite Intervals, Equilibrium Solutions, and Minimizers", K. Kuttler and Elias C. Aifantis

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Initial Boundary Value Problems for the Displacement in an Isothermal, Viscous Gas, Kenneth Kuttler

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Correlation of the gibbs free energy of transfer of fluoride ion from water to other solvents with solvent actidity and polarity parameters, Dean C. Luehrs and Kalpana A. Godbole

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A simulation of void linking during ductile microvoid fracture, P. E. Magnusen, D. J. Srolovitz, and D. A. Koss

Works from 1989

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On the product integration method for solving singular integral equations in scattering theory, B. Bertram

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Initial-boundary value problems for a discrete hydrodynamical model (model d) with velocity boundary conditions are globally well posed, D. L. Hicks and K. L. Kuttler

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The convergence of numerical solutions of hydrodynamical shock problems, D. L. Hicks and K. L. Kuttler

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Phase space analysis of the spurt phenomenon for the Giesekus viscoelastic fluid model, R. W. Kolkka and G. R. Ierley

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Linear free energy relationship of the energy of the CTTS transition of Halide ions with the solvatochromic parameter α, Dean C. Luehrs, Richard E. Brown, and Kalpana A. Godbole

Works from 1988

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A Characterization of the Permanent Function by the Binet-Cauchy Theorem, Konrad J. Heuvers, L. J. Cummings, and K. P.S. Bhaskara Rao

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Sums of weight vectors and sums of semilinear functions, Konrad J. Heuvers and William C. Waterhouse

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Continuum and discrete hydrodynamical models and globally well-posed problems, D. L. Hicks and K. L. Kuttler

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Spurt phenomena of the Johnson-Segalman fluid and related models, R. W. Kolkka, D. S. Malkus, M. G. Hansen, and G. R. Ierley

Works from 1987

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Composite n-forms and Cauchy kernels, Pal Fischer and Konrad J. Heuvers

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On Klass' series criterion for the minimal growth rate of partial maxima, Anant P. Godbole

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Matrix solutions of the functional equation of the gamma function, Konrad J. Heuvers and Daniel Moak

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On the Convected Linear Stability of a Viscoelastic Oldroyd B Fluid Heated from Below, Robert W. Kolkka and Glenn R. Ierley

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Some progress on the hydrocode convergence problem, K. L. Kuttler and D. L. Hicks

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A Variational Approach for the Deflections and Stability Behavior of Postbuckled Elastic-plastic Slender Struts, Gilbert Lewis, Petrisor Mazilu, and Frank Monasa

Works from 1986

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On extreme points of families of analytic functions with values in a convex set, Julian Gevirtz

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Applications of parallel processors to some hard discrete problems, Michael Gilpin and Robert O. Shelton

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Introduction to computational continnum dynamics: A personal perspective, Darrell L. Hicks

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Spectral methods for the solution of nonlinear boundary value problems, a case study, Glenn Ierley

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Time-Dependent Implicit Evolution Equations, Kenneth L. Kuttler

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AI machines and parallelism, John L. Lowther