Dr. Wiskin's HomePage

James Wiskin  to Center for Inverse Problems Page 
to Dr. Wiskin's CV
B. Math, Waterloo, Ontario, Canada

M.Sc. Dalhousie U., Nova Scotia, Can

Ph.D. (Math) University of Utah.

Imaging with acoustic wave energy
    Ultrasound Imaging of the human breast, simulation of wave propagation through human tissue
    Advanced SONAR applications, detection of buried mines, wave propagation through porous media, BIOT theory
    Non-destructive evaluation, inverse scattering problem.   For more info click here
Imaging with electromagnetic waves
    Ground penetrating radar, nondestructive evaluation,  quantitative light microscopy, Inverse scattering problem.
      For more info on EM imaging, click here
Imaging with elastic waves
    nondestructive evaluation
Imaging with electromagnetic diffusive wave energy
    Buried hazardous waste (DNAPL) imaging,  cell imaging.
Computational electromagnetics
    Efficient wave propagation, Integral equation frequency domain (IE), finite difference time domain, beam propagation methods (split step Fourier, marching methods), BPM
Computational  elastodynamics
    differential geometric formulation of elastodynamics, IE , FDTD, BPM
Constrained Nonlinear optimization
    Homotopy methods, Ribiere-Polak, differential geometric methods, sequential quadratic programming, Infinite and finite dimensional systems, genetic algorithms, Interior point methods, primal methods, dual methods, Lagrangian methods
Nonlinear systems in Bioengineering
    Neural Networks, applications and control of chaos, differential geometric methods, Lie group symmetries.
Image Processing, Pattern Recognition
    Enhancement, extraction, segmentation, automatic recognition, multi-dimensional Wavelet based methods,  computer aided diagnosis.
Java, C++, Javascript, Maple, Matlab, HTML, XML based educational systems
Financial Models
Complex Behaviour
    Complex behavior abounds in biological systems, and generally occurs in two major forms: self interaction in multi-component systems, and systems modelled by nonlinear equations. Differential geometry, chaos theory/control, and dynamical systems.
Piano, keyboards

Dr. Wiskin's training is in mathematical modelling, differential geometry, scientific computation, quantum  and field theory. In the past, he has modelled such things as acetylcholine release from neurons, and with the aid of several on-campus computers he is presently modelling electromagnetic, acoustic and elastic classical fields in various media with microstructure. These models can be used to image biologically, environmentally and medically relevant characteristics. He is also applying differential geometric ideas, via the computer, to various problems in nonlinear systems theory and optimization.

List of Publications

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