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

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Works from 2005

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Cyclic polygons with given edge lengths: Existence and uniqueness, Iosif Pinelis

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Iterative solution of a singular convection-diffusion perturbation problem, Shirley Pomeranz, Gilbert Lewis, and Christian Constanda

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Haplotype sharing transmission/disequilibrium tests that allow for genotyping errors, Qiuying Sha, Jianping Dong, Renfang Jiang, Huann Sheng Chen, and Shuanglin Zhang

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Mass coupling by means of lagrange polynomials in the cfd simulation of high-velocity dense sprays, Krista Stalsberg-Zarling, Kathleen Feigl, Franz X. Tanner, and Martti Larmi

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Optimization of fuel injection configurations for the reduction of emissions and fuel consumption in a diesel engine using a conjugate gradient method, Franz X. Tanner and Seshasai Srinivasan

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Affine designs and linear orthogonal arrays☆, Vladimir Tonchev

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Partitions of difference sets and code synchronization, Vladimir Tonchev

Works from 2004

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An infinite class of fibres in CURDs with block sizes two and three, Melissa S. Keranen, Rolf S. Rees, and Alan C.H. Ling

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3-designs of PSL(2,2 < sup> n ) with block sizes 4 and 5, M. S. Keranen and D. L. Kreher

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A new quasi-symmetric 2-(56,16,6) design obtained from codes, Akihiro Munemasa and Vladimir Tonchev

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Momentum coupling by means of lagrange polynomials in the CFD simulation of high-velocity dense sprays, Krista Stalsberg-Zarling, Kathleen Feigl, Franz X. Tanner, and Martti Larmi

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On generalized Hadamard matrices of minimum rank, Vladimir Tonchev

Submissions from 2003

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Unitals and codes, Anton Betten, Dieter Betten, and Vladimir Tonchev

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Large caps, Jürgen Bierbrauer

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Adaptive simulation, the adjoint state method, and optimization, Mark Gockenbach and William W. Symes

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Self-orthogonal codes from symmetric designs with fixed-point-free automorphisms, Masaaki Harada and Vladimir Tonchev

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Quadruple systems of the projective special linear group PSL(2,q), q = 1 (mod 4), M. S. Keranen, D. L. Kreher, and P. J.S. Shiue

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Hyperovals in Steiner systems, Alan C.H. Ling

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A discrete mass transportation problem for infinitely many sites, and general representant systems for infinite families, Iosif Pinelis

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A cascade atomization and drop breakup model for the simulation of high-pressure liquid jets, Franz X. Tanner

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A formula for the number of Steiner quadruple systems on 2n points of 2‐rank 2n−n, Vladimir Tonchev

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A note on MDS codes, n-Arcs and complete designs, Vladimir Tonchev

Works from 2002

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Further results on the maximum size of a hole in an incomplete t-wise balanced design with specified minimum block size, I. Adamczak, D. L. Kreher, A. C.H. Ling, and R. S. Rees

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Direct constructions of additive codes, Jürgen Bierbrauer

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Bounds on milne caps, Jürgen Bierbrauer and Yves Edel

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Coding-theoretic constructions for (t,m,s)-nets and ordered orthogonal arrays, Jürgen Bierbrauer, Yves Edel, and Wolfgang Ch Schmid

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On the state of strength-three covering arrays, M. Chateauneuf and D. L. Kreher

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Uniform group divisible designs with block sizes three and n, Yeow Meng Chee and Alan C.H. Ling

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A variational method for recovering planar Lamé moduli, Jun Chen and Mark Gockenbach

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Efficient and automatic implementation of the adjoint state method, Mark Gockenbach, Daniel Reynolds, Peng Shen, and William W. Symes

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Automatic differentiation and the adjoint state method, Mark Gockenbach, Daniel Reynolds, and William W. Symes

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Perfect codes and balanced generalized weighing matrices, II☆, Dieter Jungnickel and Vladimir Tonchev

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On a class of twin balanced incomplete block designs, Hadi Kharaghani and Vladimir Tonchev

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A new bound on the number of designs with classical affine parameters, Clement Lam and Vladimir Tonchev

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Simulation of non-evaporating diesel sprays and verification with experimental data, Martti Larmi, Pekka Rantanen, Jukka Tiainen, Jukka Kiijärvi, Franz X. Tanner, and Krista Stalsberg-Zarling

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Multilinear direct and reverse Stolarsky inequalities, Iosif Pinelis

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Spherically symmetric functions with a convex second derivative and applications to extremal probabilistic problems, Iosif Pinelis

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A Varshamov-Gilbert bound for a class of formally self-dual codes and related quantum codes, Vladimir Tonchev

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Error-correcting codes from graphs, Vladimir Tonchev

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Linear codes and the existence of a reversible Hadamard difference set inZ2×Z2×Z45☆, M. van Eupen and Vladimir Tonchev

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Wavelet threshold estimation of a regression function with random design, Shuanglin Zhang, Man Yu Wong, and Zhongguo Zheng

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Association mapping, using a mixture model for complex traits, Xiaofeng Zhu, Shuanglin Zhang, Hongyu Zhao, and Richard S. Cooper

Works from 2001

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Caps on Classical Varieties and their Projections, Jürgen Bierbrauer, Antonio Cossidente, and Yves Edel

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Remote sensing of biotic effects: Zebra mussels (Dreissena polymorpha) influence on water clarity in Saginaw Bay, Lake Huron, Judith W. Budd, Thomas David Drummer, Thomas F. Nalepa, and Gary L. Fahnenstiel

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Families of ternary (t, m, s)-nets related to BCH-codes, Yves Edel and Jürgen Bierbrauer

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A primer on differentiation, Mark Gockenbach

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The [52, 26, 10] binary self-dual codes with an automorphism of Order 7☆, W. Cary Huffman and Vladimir Tonchev

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Bush‐type Hadamard matrices and symmetric designs, Zvonimir Janko, Hadi Kharaghani, and Vladimir Tonchev

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The existence of a Bush-Type Hadamard Matrix of order 324 and two new infinite classes of symmetric designs, Zvonimir Janko, Hadi Kharaghani, and Vladimir Tonchev

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On a conjecture about trees in graphs with large girth, Tao Jiang

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Small odd cycles in 4-chromatic graphs, Tao Jiang

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A hole-size bound for incomplete t-wise balanced designs, Donald L. Kreher and Rolf S. Rees

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Bounds on the number of Hadamard designs of even order, Clement Lam, Sigmund Lam, and Vladimir Tonchev

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On the Yao-Iyer inequality in bioequivalence studies, Iosif Pinelis

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A Mass Formula for Steiner Triple Systems STS(2n−1) of 2-Rank 2n−n☆, Vladimir Tonchev

Works from 2000

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A family of caps in projective 4-space in odd characteristic, Jürgen Bierbrauer and Yves Edel

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Quantum twisted codes, Jürgen Bierbrauer and Yves Edel

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Almost independent and weakly biased arrays: Efficient constructions and cryptologic applications, Jürgen Bierbrauer and Holger Schellwat

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Linearity of space-time transformations without the one-to-one, line-onto-line, or constancy-of-speed-of-light assumptions, Alexander Chubarev and Iosif Pinelis

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Maximal arcs and disjoint maximal arcs in projective planes of order 16, Nicholas Hamilton, Stoicho Stoichev, and Vladimir Tonchev

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Bounds on the number of affine, symmetric and Hadamard designs and matrices☆, Clement Lam, Sigmund Lam, and Vladimir Tonchev

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On symmetric nets and generalized Hadamard matrices from affine designs, Vassili C. Mavron and Vladimir Tonchev

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Assessment of CFD methods for large diesel engines equipped with a common rail injection system, Paul Rodatz, German Weisser, and Franz X. Tanner

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The development and assessment of a course for enhancing the 3-D spatial visualization skills of first year engineering students, Sheryl Sorby and Beverly J. Baartmans

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Unital designs in planes of order 16, Stoicho Stoichev and Vladimir Tonchev

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Non-equilibrium turbulence considerations for combustion processes in the simulation of di diesel engines, Franz X. Tanner, Guang Sheng Zhu, and Rolf D. Reitz

Works from 1999

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Halving PSL(2, q), Jürgen Bierbrauer and Yves Edel

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New codes via the lengthening of BCH codes with UEP codes, Jürgen Bierbrauer, Yves Edel, and Ludo Tolhuizen

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Existence and Uniqueness of Solutions for a Dynamic One-Dimensional Damage Model, Michel Frémond, Kenneth L. Kuttler, and Meir Shillor

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C++ classes for linking optimization with complex simulations, Mark Gockenbach, Matthew J. Petro, and William W. Symes

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Random Sidon Sequences, Anant P. Godbole, Svante Janson, Nicholas W. Locantore, and Rebecca Rapoport

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Another logarithmic functional equation, Konrad J. Heuvers

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Decompositions of difference sets☆, Dieter Jungnickel and Vladimir Tonchev

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Perfect Codes and Balanced Generalized Weighing Matrices☆, Dieter Jungnickel and Vladimir Tonchev

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Linear perfect codes and a characterization of the classical designs, Vladimir Tonchev

Works from 1998

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On Mathieu's Inequality, Horst Alzer, J. L. Brenner, and O. G. Ruehr

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Weak k-majorization and polyhedra, Geir Dahl and François Margot

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Quasi‐symmetric 2‐(28, 12, 11) designs with an automorphism of order 7, Yuan Ding, Sheridan Houghten, Clement Lam, Suzan Smith, Larry Thiel, and Vladimir Tonchev

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Modelling air temperature gradients across managed small streams in western Washington, J. Dong, J. Chen, K. D. Brosofske, and R. J. Naiman

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Improved upper bounds for the reliability of d-dimensional consecutive-k-out-of-n : F systems, Anant P. Godbole, Laura K. Potter, and Jessica K. Sklar

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New Designs with Block Size 7, Zvonimir Janko and Vladimir Tonchev

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Characterizing the Hermitian and Ree unitals on 28 points, Gary McGuire, Vladimir Tonchev, and Harold Ward

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Maximum disjoint bases and constant-weight codes, Vladimir Tonchev

Works from 1997

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A family of 2-weight codes related to BCH-codes, Jürgen Bierbrauer and Yves Edel

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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