2000-present. 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
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.
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
Teaching Interests
Precalculus, Calculus I, Calculus II, Calculus III,
Ordinary Differential Equations, Linear Algebra,
Partial Differential Equations, Mathematical Modeling, Advanced
Engineering Mathematics,
Applied Numerical Methods, Numerical Solutions of Partial Differential
Equations, Methods of Applied Mathematics
Current Research Projects
Modeling and Simulation of the Growth of Nanocoatings in a Chemical Vapor
Deposition Chamber
Collaborators:
Dr. Gerald Young, Dr. Curtis Clemons, Dr. John Heminger
(Department of Theoretical and Applied Mathematics)
Dr. Ed Evans (Chemical Engineering)
Dr. Alper Buldum (Physics)
Dr. S.I. Hariharan (College of Engineering)
Optimal Design in Cord Composites, and Homogenization in Functionally Graded Zones
Collaborators:
Carey Childers (graduate student, Department of Theoretical and Applied Mathematics)
Dr. Wieslaw Binienda (Department of Civil Engineering)
Simulation of Traffic Flow through a Highway Interchange
Collaborators:
Brandon Reed (graduate student, Department of Theoretical and Applied Mathematics)
Dr. Gerald Young, Dr. Curtis Clemons, Dr. Timothy Norfolk, Dr. Joseph Wilder (Department of Theoretical and Applied Mathematics)
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.
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.
Submitted to Transportation Research Part B: Methodology
Zhang, Yi, Kreider, Norfolk. Modeling traffic impact on transportation networks due to special events.
Submitted to Journal of Computational Mechanics:
Childers, Kreider, Binienda.
Determination of the effective properties of a fiber reinforced composite with a
functionally graded transition zone under axisymmetric loading.
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 Grants
NIRT: Nanofiber Manufacturing for Energy Conversion and Utilization, $1,300,000
(Reneker, Chase, Evans, Smith, Ramsier, Young, Buldum, Hariharan, Kreider).
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
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"
Current, Brandon Reed, Sensor system for power steering
Current, Lauren Brubaker, Numerical issues in polymerization modeling
