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

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Works from 1991

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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

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Parallel algorithms for computational continuum dynamics, Joseph F. McGrath, Darrell L. Hicks, and Lorie M. Liebrock

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A note on the relationship between the expression and the automatic detection of parallelism in programs, Karl J. Ottenstein

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Parallel computer architectures, David A. Poplawski

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Multinomial matrices, Robert Shelton, Konrad J. Heuvers, Daniel Moak, and K. P.S. Bhaskara Rao

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Norm Oscillatory Weight Measures, J. L. Ullman, M. F. Wyneken, and L. Ziegler

Works from 1985

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The Existence of Optimal Consumption Policies in Optimal Economic Growth Models with Nonconvex Technologies, R. E. Gaines and J. K. Peterson

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A family of symmetric biadditive nonbilinear functions, Konrad D. Heuvers

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The Galerkin Method and Degenerate Evolution Equations, Kenneth L. Kuttler

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Chains and fixing blocks in irreducible binary sequences, R. O. Shelton and R. P. Soni

Works from 1984

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The program dependence graph and its use in optimization, Jeanne Ferrante, Karl J. Ottenstein, and Joe D. Warren

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Some Observations on Eigenvectors of Hadamard Matrices of order 2n, Clark R. Givens

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Series expansions of solutions of uxx + (2νx) ux + ε2utt = ut, Clark R. Givens and Chi Yeung Lo

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Theoretical estimates of the westward drift, Glenn R. Ierley

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Degenerate Variational Inequalities of Evolution, Kenneth L. Kuttler

Works from 1983

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A mathematical model for decompression, Gilbert Lewis

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Large deflections of point loaded cantilevers with nonlinear behaviour, Frank Monasa and Gilbert Lewis

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Combinatorial methods in the study of marginal problems over separable spaces, R. M. Shortt

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Strassen's marginal problem in two or more dimensions, R. M. Shortt

Works from 1982

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On the Modified Leverrier-Faddeev Algorithm, Clark R. Givens

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A Theory for Optimal Regularization in the Finite Dimensional Case, John W. Hilgers

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Large Deflections of Cantilever Beams of Non-linear Materials of the Ludwick Type Subjected to an End Moment, Gilbert Lewis and Frank Monasa

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Post-buckling Dynamic Behavior of Periodically Supported Imperfect Shells, Deborah Frank Lockhart

Works from 1981

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Functional equations which characterize n-forms and homogeneous functions of degree n, Konrad J. Heuvers

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Expected Complexity of Fast Search with Uniformly Distributed Data, Gilbert N. Lewis, Nancy J. Boynton, and F. Warren Burton

Works from 1980

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A Robust Variation of Interpolation Search, F. Warren Burton and Gilbert N. Lewis

Works from 1978

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Comments on: Sorting by Distributive Partitioning, Warren Burton

Works from 1975

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Products of Symmetric Forms, Michael Gilpin

Works from 1973

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On the Types of Functions which can serve as Scalar Products in a Complex Linear Space, Konrad John Heuvers