Dr. Kevin L Kreider

Professor of Applied Mathematics
Department of Mathematics
The University of Akron
Akron OH 44325-4002
 
Office: CAS 220
Phone: (330) 972-6121
Fax: (330) 374-8630
E-mail: kreider@uakron.edu

Courses: Spring 2020

3450:221 Calculus 1
Office Hours: 11-12 Monday through Thursday , and by appointment, CAS 220


Other Courses

3450:149 Precalculus
3450:221 Analytic Geometry and Calculus I
3450:222 Analytic Geometry and Calculus II
3450:223 Analytic Geometry and Calculus III
3450:335 Ordinary Differential Equations
3450:427/527 Applied Numerical Methods I
3450:428/528-001 Applied Numerical Methods II
3450:436/536 Mathematical Models
3450:730-001 Advanced Numerical PDEs
Research Tools


Positions

2017-present. Chair, Department of Mathematics, University of Akron.
2000-2017. Professor of Applied Mathematics, Department of Theoretical and Applied Mathematics, University of Akron.
2005-2006. Interim Chair, Department of Theoretical and Applied Mathematics, University of Akron.
1994-2000. Associate Professor, Department of Mathematical Sciences, University of Akron.
1989-1994. Assistant Professor, Department of Mathematical Sciences, University of Akron.
2004-present. Joint Appointment with Department of Civil Engineering.
1994-2004. Joint Appointment with Department of Electrical Engineering.
1987-1989. Postdoctoral Fellow, Division of Applied Mathematical Sciences, Ames Laboratory, US Dept of Energy.

Awards

2016. Math Department Professor of the Year.
2014. NRHH Teacher Award.
2013. Top 25 University Professor, BusinessInsider, RateMyProfessor.com.
2012. NRHH Teacher Award.
2007. Honors College Outstanding Teacher Award.
2007. Buchtel College Chair's Outstanding Service Award.
2005. Inducted into Phi Beta Kappa, Wittenberg Chapter (Omicron of Ohio).
2005. Buchtel College of Arts and Sciences Outstanding Service Award.
1997. Buchtel College of Arts and Sciences Outstanding Teaching Award.

Education

1986. Ph.D., Applied Mathematics, Purdue University.
1982. M.S., Applied Mathematics, Purdue University.
1981. B.A., Mathematics and Physics, Wittenberg University.

Research Interests

Direct and inverse scattering problems for wave propagation in the time domain
Wave splitting, invariant imbedding and associated numerical techniques
Inverse problems in nonlinear viscoelastic media
Chemical vapor deposition via the level set method
Computational aeroacoustics
Fracture mechanics, singular integral equations, modeling of composite materials
Modeling of traffic flow

Recent Courses Taught

Calculus III, Ordinary Differential Equations, Applied Numerical Methods I and II,
Mathematical Models, Advanced Numerical Analysis I, Advanced Numerical Solutions of Partial Differential Equations

Current Research Projects

Modeling and Simulation of Crevice Corrosion
Collaborators: Dr. Gerald Young, Dr. Curtis Clemons, Dr. Dmitry Golovaty, Dr. Joseph Wilder, Dr. Scott Lillard
 
Modeling and Simulation of Galvanic Corrosion
Collaborators: Dr. Gerald Young, Dr. Curtis Clemons, Dr. Dmitry Golovaty, Dr. Joseph Wilder, Dr. Scott Lillard
 
Modeling and Simulation of Risk Management
Collaborators: Dr. Gerald Young, Dr. Curtis Clemons, Dr. Nao Mimoto
 

Journal Publications

1989, Kreider. Time-dependent inverse scattering from gradient-type interfaces using an exact solution, J Math Phys, 30, 53-58.
 
1989, Kreider. A wave splitting approach to time dependent inverse scattering for the stratified cylinder, SIAM J App Math, 49, 932-943.
 
1989, Kreider. Time dependent direct and inverse electromagnetic scattering for the dispersive cylinder, Wave Motion, 11, 427-440.
 
1990, Kreider. Time dependent linear transport via Green's functions, Tran Thy and Stat Phys, 18, 513-525.
 
1992, Karlsson, Kreider, Kristensson. Wave splitting and imbedding equations for a spherically symmetric dispersive medium, in Invariant Imbedding and Inverse Problems (SIAM).
 
1993, Baumeister, Kreider. Modal element method for scattering and absorbing of sound by two-dimensional bodies, J Vib Acous, 115, 314-323.
 
1994, Baumeister, Kreider. Scattering cross section of sound waves by the modal element method, in Acoustic Radiation and Wave Propagation (ASME Publications), 39-43.
 
1996, Baumeister, Kreider. Finite difference time marching in the frequency domain: a parabolic formulation for the convective wave equation, J Vib Acous, 118, 622-629.
 
1996, Karlsson, Kreider. Transient wave propagation in transverse periodic media, Wave Motion, 23, 259-277.
 
1998, Baumeister, Kreider. Preconditioning the Helmholtz equation, J Sound and Vib, 209,77-97.
 
1999, Shbeeb, Binienda, Kreider. Analysis of the driving forces for multiple cracks in an infinite nonhomogeneous plate, part I: theoretical analysis, J App Mech, 66, 492-500.
 
1999, Shbeeb, Binienda, Kreider. Analysis of the driving forces for multiple cracks in an infinite nonhomogeneous plate, part II: numerical solutions, J App Mech, 66, 501-506.
 
1999, Folkow, Kreider. Direct and inverse scattering problems on nonlinear viscoelastic rods, Mathematics and Computers in Simulation, 50, 577-595.
 
2000, Hariharan, Scott, Kreider. A potential theoretic method for far field sound radiation calculations, J Comp Phys, 164, 143-164.
 
2000, Shbeeb, Binienda, Kreider. Analysis of a general cracks in functionally graded strip sandwiched between two homogeneous half plates, Intl J of Fracture, 104, 23-50.
 
2002, Scott, Kreider, Heminger. Evaluation of far-field boundary conditions for the gust response problem, AIAA paper 2002-2441.
 
2002, Kim, Kreider. An asymptotic approach to inverse scattering problems on weakly nonlinear elastic rods, J Appl Math, 2, 407-435.
 
2004, Scott, Kreider, Heminger. Evaluation of radiation boundary conditions for the gust response problem, AIAA Journal, 42, 249-254.
 
2004, Buldum, Clemons, Evans, Zhang, Dill, Marinov, Zheng, Hariharan, Kreider, Reneker, Young. Coating Growth on Nanofibers: Multi-Scale Modeling, Simulations and Experiments, Tech. Procs. of Nanotechnology 3, p 346.
 
2005, Buldum, Busuladzic, Clemons, Dill, Evans, Zhang, Hariharan, Kiefer, Kreider, Young. Multi-Scale Modeling, Simulations and Experiments of Coating Growth on Nanofibers: Part I - Sputtering, J Appl Phys 98(4), pp 044303-044303-10.
 
2005, Buldum, Clemons, Dill, Kreider, Young, Zheng, Evans, Zhang, Hariharan. Multi-scale modeling, simulations and experiments of coating growth on nanofibers: Part II -- Deposition, J Appl Phys 98(4), pp 044304-1--044304-16.
 
2005, Marinov, Buldum, Clemons, Kreider, Young, Hariharan. Field Emission from Coated Nanowires, J Appl Phys 98(4), pp 044314-1--044314-11.
 
2006, Kim, Kreider. Appl. Num. Math. 56, 1538-1554.
Parameter identification for nonlinear elastic and viscoelastic plates.
 
2007, Moore, Clemons, Kreider, Young. J Appl Phys 101, pp 064305-1--064305-12.
Modeling and Simulation of Axisymmetric Coating Growth on Nanofibers.
 
2008, Clemons, Hamrick, Heminger, Kreider, Young, Buldum, Evans, Zhang. J Appl Phys 104, pp 044304-1--044304-14.
Modeling, simulation and experiments of coating growth on nanofibers.
 
2009, Wilder, Clemons, Kreider, Young, Evans, Zhang. J Appl Phys 105, pp 054317.
Modeling and simulation of coating growth on nanofibers.
 
2010, Johnston, Braun, Kreider, Young. A parametric analysis of a reservoir-extended porous slider bearing with self-circulation and cavitation effects. Tribology Transactions 53(1), pp 60-74.
 
2010, Zhang, Yi, Kreider, Shao, Norfolk. Modeling traffic impact on transportation networks due to special events. Transportation Review Board 89th Annual Meeting Compendium of Papers, #10-2542, http://pubsindex.trb.org/view.aspx?id=910589
 
2010, Jittavanich, Clemons, Kreider, Young, Aljarrah, Evans. Modeling, Simulation and Fabrication of Coated Structures Using the Dip Coating Technique. Chemical Engineering Science (2010), doi:10.1016/j.ces.2010.09.001
 
2012, Miller, Neubig, Clemons, Kreider, Wilber, Young, Ditto, Yun, Milsted, Badawy, Panzner, Youngs, Cannon. Nanoparticle deposition onto biofilms. Annals of Biomedical Engineering (2012), doi:10.1007/s10439-012-0626-0
 
2012, Gouin, Saracusa, Clemons, Kreider, Senko, Young. A mathematical model of a passive scheme for acid mine drainage remediation. Geomathematics (2012), doi:10.1007/s13137-012-0044-3
 
2013, Miller, Brantner, Clemons, Kreider, Milsted, Wilber, Yun, Youngs, Young, Badawy, Wagers. Mathematical modeling of Pseudomonas aeruginosa biofilm growth and treatment in the cystic fibrosis lung. Mathematical Medicine and Biology (2013), doi:10.1093/imammb/dqt003
 
2012, Miller, Badawy, Clemons, Kreider, Wilber, Milsted, Young. Development of the Pseudomonas aeruginosa mushroom morphology and cavity formation by iron-starvation: a mathematical modeling study. Journal of Theoretical Biology, pp 68-78.
 
2014, Brackman, Clemons, Golovaty, Kreider, Wilder, Young, Lillard, Payer. Modeling and simulation of damage evolution in crevice corrosion. Journal of the Electrochemical Society, doi 10.1149/2.065404jes.  
2014, Wilder, Clemons, Golovaty, Kreider, Young, Lillard. An adaptive level set approach for modeling damage due to galvanic corrosion. Journal of Engineering Mathematics, doi 10.1007/s10665-014-9732-3.
 
2014, McCallum, Zhao, Workman, Iannuzzi, Kappes, Payer, Clemons, Chawla, Kreider, Mimoto, Young. Localized Corrosion Risk Assessment Using Markov Analysis. Corrosion, doi http://dx.doi.org/10.5006/1184.
 
2014, Stenta, Basco, Smit, Clemons, Golovaty, Kreider, Wilder, Young, Lillard. One-dimensional approach to modeling damage evolution in galvanic corrosion. Corrosion Science, doi 10.1016/j.corsci.2014.07.012.
 
2016, Stenta, Clemons, Golovaty, Kreider, Young. Species-Dependent Crevice Corrosion Modeling of Ni-625. Corrosion, doi http://dx.doi.org/10.5006/2065.
 
2017, Colwell, Clemons, Kreider, Young, Mimoto, Sullivan. Development of a Pitting Corrosion Risk Assessment Model Using Deterministic and Markov Analysis. Submitted to Corrosion Science.
 
2016, Clemons, Kreider, Young, Mimoto, Sullivan. Risk Assessment Models Using Markov Analysis. 2015 DOD-TCC Annual Conference Proceedings. Best Paper Award for the Corrosion Science track.
 
2016, Stenta, Clemons, Kreider, Young, Salgado, Lillard. Species-Dependent Crevice Corrosion of Ni-625: Experiments and Modeling. 2015 DOD-TCC Annual Conference Proceedings.
 
2017, Colwell, McKinnon, Clemons, Kreider, Young, Mimoto, Sullivan. Development of a Stochastic Metastable Pit Initiation Model with Transition to a Stable Pit State. To be submitted to Corrosion.
 
2017, McKinnon, Clemons, Kreider, Young, Lillard. Modeling Unidirectional Corrosion Damage Evolution in a Pencil-Electrode Pit. To be submitted to Journal of the Electrochemical Society.
 
2018, Sutton, Clemons, Kreider, Wilber, Young. Surface Nonuniformities in Waterborne Coatings due to Evaporative Mechanisms. AIChe Journal, https://doi.org/10/1002/aic.16057.
 
2017, Stalker, Clemons, Kreider, Mimoto, Young. Illustrating Pit Initiation and Evolution in Aluminum Alloys According to a 3-Dimensional Cellular Automata Based Model. To be submitted to the Journal of the Electrochemical Society.
 

NASA Technical Memoranda

TM 105154, 1991, Saule, Rice, Clark, Kreider. Computer program for Bessel and Hankel functions.
TM 105966, 1993, Baumeister, Kreider. Modal ring method for the scattering of electromagnetic waves.
TM 106342, 1993, Baumeister, Kreider. Modal ring method for the scattering of sound.
TM 106839, 1995, Baumeister, Kreider. Finite difference time marching in the frequency domain: a parabolic formulation for aircraft acoustic nacelle design.
TM 106935, 1995, Baumeister, Kreider. Acoustic scattering from ellipses by the modal element method.
TM 107363, 1996, Baumeister, Kreider. Time dependent parabolic finite difference formulation for harmonic sound propagation in a two dimensional duct with flow.
TM 107349, 1998, Baumeister, Kreider. Preconditioning the Helmholtz equation for rigid ducts.
NASA/CR-1999-208676, 1999, Shbeeb, Binienda, Kreider. Analysis of multiple cracks in an infinite functionally graded plate.

Current and Recent Grants

Cannon, Kreider, Pugh, Rinaldi, Young, Youngs, Yun. Collaborative Research: polymeric drug delivery systems and biofilms in the lung, NIH 3ROI GM086895-02S12 American Recovery and Reinvestment Act Award, May 2010-April 2011, $214,877.

Clemons, Golovaty, Kreider, Payer, Young. FY11 Project 4A, Model for crevice corrosion damage evolution for Fe-Cr-Ni-Mo alloys, Department of Defense Office of Corrosion Policy and Oversight, July 2011-June 2014, $130,000.

Clemons, Golovaty, Kreider, Payer, Young. UCC 2-A corrosion evolution model, US Air Force #1000000149, July 2010-June 2013, $129,988.

Young, Clemons, Kreider, Mimoto. FY11 Risk management, DOD Office of Corrosion Policy and Oversight, $44,175.

Clemons, Golovaty, Kreider, Wilder, Young. Modeling of galvanic corrosion in service water piping systems, Structural Integrity Associates, July-August 2013, $7000.

Clemons, Golovaty, Kreider, Lillard, Wilder, Young. FY12 Model of crevice corrosion damage evolution, National Center for Education and Research on Corrosion and Materials Performance, July 2013-June 2016, $120,000.

Lillard, Clemons, Golovaty, Kreider, Wilder, Young. FY13-A Model of damage evolution during galvanically accelerated corrosion at lap joints, DOD Office of Corrosion Policy and Oversight, $394,229.

Fawaz, Payer, Louscher, Clemons, Kreider, Mimoto, Young. FY13 Mechanical impact of corrosion damage, DOD Office of Corrosion Policy and Oversight, $463,009.

Louscher, Castaneda-Lopez, Clemons, Dhinojwala, Foster, Gao, Kreider, Mimoto, Young. USAF Technical Efforts to Support the Office of Corrosion Policy and Oversight, $1,189,000.

Graduate Students

Master's Degree students

1994, Zhaolin Mao, "A numerical study of an inverse problem for the dispersive sphere"
1999, Shinuk Kim, "Asymptotic solutions of inverse scattering problems on weakly nonlinear elastic rods"
2003, Myo-Kyaw Naing, "Numerical simulation of the radial growth of nanofiber coatings"
2004, Carey Childers, "Determination of the effective properties of a cord composite with a functionally graded transition zone in cylindrical coordinates"
2004, Xiaomian Zheng, "Numerical study of front propagation by the level set method"
2005, Paul Stager, "Time domain analysis of a multiple antenna system driven by nonlinear amplifier circuits"
2006, Paul Hamrick, "Simulation of the concentration field during physical vapor deposition onto a nanofiber substrate"
2007, Brandon Reed, "Prediction of traffic flow through a highway interchange system", Coadvisors: Clemons, Young
2010, Colin Mitchell, "Numerical simulation of calcium carbonate formation", Coadvisors: Clemons, Young
2010, Patrick Starvaggi, "Use of a diffusive approximation of radiative transfer for modeling thermophotovoltaic systems", Coadvisors: Clemons, Young
2010, Matthew Hoffman, "Use of a diffusive approximation of radiative transfer for modeling thermophotovoltaic systems", Coadvisors: Clemons, Young
2011, Robert Moser, "A one-dimensional model of a proton-exchange membrane photoelectrolysis cell", Coadvisors: Clemons, Young
2011, Marlena Gouin, "Acid mine drainage remediation utilizing iron-oxidizing bacteria", Coadvisors: Clemons, Young
2011, Emily Saracusa, "A mathematical model for acid mine drainage removal and iron hydroxide crust formation", Coadvisors: Clemons, Young
2011, Bryan Van Scoy, "Mathematical model for hydrogen production of a proton exchange membrance photoelectrochemical cell", Coadvisors: Clemons, Young
2011, Ryan Neubig, "Penetration of nanoparticles into a biofilm from a bulk fluid", Coadvisors: Clemons, Wilber, Young
2011, Stephanie Bissell, "The effects of quorum sensing on the phenotypes of pseudomonas aeruginosa bacteria cells within a biofilm", Coadvisors: Clemons, Wilber, Young
2012, Matthew Brackman, "Modeling and Simulation of Damage Evolution in Crevice Corrosion", Coadvisors: Clemons, Young
2012, Katie MacCallum, "Probabilistic analysis of pipeline reliability using a Markov process", Coadvisors: Clemons, Young
2013, Aaron Stenta, "One Dimensional Approach to Modeling Damage Evolution in Galvanic Corrosion", Coadvisors: Clemons, Young
2013, Scott Basco, "One Dimensional Approach to Modeling Damage Evolution of Galvanic Corrosion in Cylindrical Systems", Coadvisors: Clemons, Young
2013, Austin Smith, "One Dimensional Approach to Modeling Damage Evolution of Galvanic Corrosion of a Concentric Cylindrical Geometry", Coadvisors: Clemons, Young
2013, Joseph Gaone, "A Mathematical Model of a Microbial Fuel Cell", Coadvisors: Clemons, Wilber, Young
2014, Jing Zhao, "Risk management for pitting corrosion", Coadvisors: Clemons, Young
2014, Michael Workman, "On probabilistic transition rates used in Markov models for pitting corrosion", Coadvisors: Clemons, Young
2014, Ethan York, "Numerical simulation of quasi-two-dimensional corrosion of a coated metal", Coadvisors: Clemons, Young
2016, John McKinnon, "Corrosion damage evolution of a single pit", Coadvisors: Clemons, Young
2016, Alex Colwell, "Development of a stochastic metastable pit initiation model with transition to a stable pit state", Coadvisors: Clemons, Young
2016, Zachary Roland, "Galvanically induced/accelerated crevice corrosion", Coadvisors: Clemons, Young
2016, Kaylee Sutton, "Surface nonuniformities in waterborne coatings due to evaporative mechanisms", Coadvisors: Clemons, Wilber, Young
2016, Kathryn Stalker, "Illustrating pit initiation and evolution in aluminum alloys according to a 3-dimensional cellular automata based model", Coadvisors: Clemons, Young
2018, Abbey Frey, "A mathematical model of a corrosion system containing inhibitors, Coadvisors: Clemons, Young
2018, Julie Shallman, "Galvanic and pitting corrosion of a fastener assembly", Coadvisors: Clemons, Young
2018, Oliver Evans, "Modeling the light field in macroalgae aquaculture", Coadvisor: Clemons
Current, Dan Becker

Ph. D. students

2004, Shinuk Kim, "Numerical solution of inverse problems for linear and nonlinear elastic and viscoelastic plates"
2007, Carey Childers, "Homogenization of cord composites with a functionally graded transition zone"
2012, Kyle Miller, "Mathematical modeling of Pseudomonas aeruginosa biofilm growth and treatment in the cystic fibrotic lung". Current, Kaylee Sutton.


Department of Mathematics
The University of Akron 


URL: GoZips.Uakron.edu/~kreider
Last update: 08/07/19