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

Follow

Submissions from 2008

PDF

Numerical analysis of elliptic inverse problems with interior data, Mark Gockenbach

Link

Equation error approach for elliptic inverse problems with an application to the identification of Lamé parameters, Mark Gockenbach, Baasansuren Jadamba, and Akhtar A. Khan

Link

An abstract framework for elliptic inverse problems: Part 2. An augmented Lagrangian approach, Mark Gockenbach and Akhtar A. Khan

Link

1-D modeling of transient engine operations using data generated by a CFD code, Jan MacEk, Oldřich Vítek, Seshasai Srinivasan, and Franz X. Tanner

Link

On affine designs and Hadamard designs with line spreads☆, V. C. Mavron, T. P. McDonough, and Vladimir Tonchev

Link

A characterization of Gorenstein Hilbert functions in codimension four with small initial degree, Juan Migliore, Uwe Nagel, and Fabrizio Zanello

Link

An improved multiplicity conjecture for codimension 3 Gorenstein algebras, Juan Migliore, Uwe Nagel, and Fabrizio Zanello

Link

On the degree two entry of a Gorenstein h-vector and a conjecture of Stanley, Juan Migliore, Uwe Nagel, and Fabrizio Zanello

Link

The strength of the weak Lefschetz property, Juan Migliore and Fabrizio Zanello

Link

Difference systems of sets and cyclotomy, Yukiyasu Mutoh and Vladimir Tonchev

Link

l'Hospital-type rules for monotonicity: Discrete case, Iosif Pinelis

Link

Cyclic quasi-symmetric designs and self-orthogonal codes of length 63☆, Chekad Sarami and Vladimir Tonchev

Link

Optimization of an asynchronous fuel injection system in diesel engines by means of a micro-genetic algorithm and an adaptive gradient method, Franz X. Tanner and Seshasai Srinivasan

Link

On affine designs and GMW difference sets, Vladimir Tonchev

Link

Quantum codes from caps, Vladimir Tonchev

Link

Steiner systems for two-stage disjunctive testing, Vladimir Tonchev

Link

An ensemble learning approach jointly modeling main and interaction effects in genetic association studies, Zhaogong Zhang, Man Yu Wong, Nicholas J. Wareham, and Qiuying Sha

Submissions from 2007

Link

The output least-squares approach to estimating Lamé moduli, Mark Gockenbach

Link

An abstract framework for elliptic inverse problems: Part 1. An output least-squares approach, Mark Gockenbach and Akhtar A. Khan

Link

On conflict-avoiding codes of length n=4m for the active users, Masakazu Jimbo, Miwako Mishima, Susan Janiszewski, Amin Teymorian, and Vladimir Tonchev

Link

Transverse quadruple systems with five holes, M. S. Keranen and D. L. Kreher

Link

Multiple testing in the genomics era: Findings from genetic analysis workshop 15, Group 15, Lisa J. Martin, Jessica G. Woo, Christy L. Avery, Huann Sheng Chen, and Kari E. North

Link

A new association test using haplotype similarity, Qiuying Sha, Huann Sheng Chen, and Shuanglin Zhang

Link

Computational optimization of a split injection system with EGR and boost pressure/compression ratio variations in a diesel engine, Seshasai Srinivasan, Jan MacEk, Milos Polacek, and Franz X. Tanner

Link

Global optimization of a two-pulse fuel injection strategy for a diesel engine using interpolation and a gradient-based method, Franz X. Tanner and Seshasai Srinivasan

Link

An algorithm for optimal difference systems of sets, Vladimir Tonchev and Hao Wang

Works from 2006

Link

On isomorphic factorizations of circulant graphs, Brian Alspach, Danny Dyer, and Donald L. Kreher

Link

Hyperplane partitions and difference systems of sets☆, Ryoh Fuji-Hara, Akihiro Munemasa, and Vladimir Tonchev

Link

Understanding and implementing the finite element method, Mark Gockenbach

Link

Experiences in using spatial skills testing instruments with younger audiences, Sheryl Sorby, Thomas David Drummer, and Raymond E. Molzon

Link

Computational optimization of split injections and EGR in a diesel engine using an adaptive gradient-based algorithm, Seshasai Srinivasan, Franz X. Tanner, Jan MacEk, and Milos Polacek

Link

Gradient-based optimization of a multi-orifice asynchronous injection system in a diesel engine using an adaptive cost function, Franz X. Tanner and Seshasai Srinivasan

Link

A Class of 2-(3n7, 3n−1 7, (3n−1 7−1)/2) Designs, Vladimir Tonchev

Works from 2005

Link

Incorporation of a high performance, four-cylinder, four-stroke motorcycle engine into a snowmobile application, Gregory A. Davis, Nick S. Dahlheimer, David A. Meyer, Aaron S. Messenger, James R. Johnson, and Bernhard P. Bettig

Link

Identification of Lamé parameters in linear elasticity: a fixed point approach, Mark Gockenbach and Akhtar A. Khan

Link

Symmetric (4,4)-Nets and Generalized Hadamard Matrices Over Groups of Order 4, Masaaki Harada, Clement Lam, and Vladimir Tonchev

Link

A characterization of designs related to an extremal doubly-even self-dual code of length 48, Masaaki Harada, Akihiro Munemasa, and Vladimir Tonchev

Link

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

Link

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

Link

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

Link

Affine designs and linear orthogonal arrays☆, Vladimir Tonchev

Link

Partitions of difference sets and code synchronization, Vladimir Tonchev

Works from 2004

Link

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

Link

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

Link

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

Link

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

Link

On generalized Hadamard matrices of minimum rank, Vladimir Tonchev

Submissions from 2003

Link

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

Link

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

Link

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

Link

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

Link

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

Link

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

Link

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

Works from 2002

Link

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

Link

Direct constructions of additive codes, Jürgen Bierbrauer

Link

Bounds on milne caps, Jürgen Bierbrauer and Yves Edel

Link

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

Link

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

Link

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

Link

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

Link

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

Link

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

Link

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

Link

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

Link

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

Link

Multilinear direct and reverse Stolarsky inequalities, Iosif Pinelis

Link

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

Link

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

Link

Error-correcting codes from graphs, Vladimir Tonchev

Link

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

Link

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

Works from 2001

Link

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

Link

A primer on differentiation, Mark Gockenbach

Link

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

Link

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

Link

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

Link

Small odd cycles in 4-chromatic graphs, Tao Jiang

Link

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

Link

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

Link

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

Link

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

Works from 2000

Link

Quantum twisted codes, Jürgen Bierbrauer and Yves Edel

Link

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

Link

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

Link

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

Link

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

Link

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

Link

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

Link

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

Link

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

Link

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

Link

Decompositions of difference sets☆, Dieter Jungnickel and Vladimir Tonchev

Link

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

Link

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

Works from 1998

Link

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

Link

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

Link

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

Link

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

Link

Maximum disjoint bases and constant-weight codes, Vladimir Tonchev