## Expert Details

# Expert in Mathematics, Modeling, & Thermodynamics

**Expert ID: 108362**Canada

Expert has used the Internet extensively over the past several years. He has developed Web pages for a number of sites; these have incorporated intensive knowledge of HTML, CGI Scripts, and Java Script.

Expert has used Fortran in his scientific research for over 25 years, employing a variety of platforms, from mainframe computers to Unix Workstations, to PCs. He has developed commercial scientific software written in Fortran.

Expert has developed fundamental molecular-based models for the Gibbs free energy of fluids (liquids and gases) and their mixtures, and is intimately familiar with most existing expressions used for the chemical potentials of their constituents. This includes equation-of-state-based approaches founded on the van der Waals, Redlich-Kwong, Peng-Robinson, and other state equations. He has developed efficient computational techniques to predict phase equilibria for complex multicomponent systems, including vapor-liquid and liquid-liquid equilibria, vapor pressure lines, and critical points. He has also applied these techniques to problems involving acid-base and other solution equilibria arising in problems involving electrolytes. He has developed general computational techniques for combined chemical reaction and phase equilibrium in complex multiphase systems, and he is the senior author of a textbook in this area. Expert has written PC-based software to solve problems in this field, marketed by Mathtrek Systems.

Expert has taught thermodynamics to engineers for a number of years, and is senior author of a textbook on the thermodynamic analysis of chemical reaction and phase equilibrium problems. He has applied thermodynamic analyses to evaluate processes in a number of areas, including several arising in the modeling of pollution abatement in environmental problems. He has developed a thermodynamic property database that is used in conjunction with his commercial chemical equilibrium software.

Much of Expert's research involves the development and efficient computer implementation of numerical analysis techniques to problems arising in a science and engineering context. The emphasis has been on nonlinear programming and optimization methods and theory; this includes global methods, simulated annealing and genetic algorithms. Expert has extensive experience in curve fitting problems arising in situations where the underlying parameters must be estimated from a model. This includes the application of least squares and general linear and nonlinear regression techniques. Expert has taught undergraduate and graduate courses in all the above areas.

Expert has taught courses in all the above areas in mathematics, physics, chemistry, and engineering departments for more than 25 years. Much of his research involves the regular use of techniques in these areas. He is proficient in derivatives, differentiation, imaginary numbers, inflection point, Laplace transform, and probability.

Expert has developed mathematical models of physical, chemical, engineering, and biological processes in his research. Many of these models incorporate systems of ordinary differential equations. Examples of biological models Expert has developed are models applied to biochemical kinetics, pharmacokinetics, and endocrinology.

Expert regularly uses computer algebra systems in his research, including Mathematica and Maple. He is also familiar with Derive and MathCad.

A main thrust of Expert's research program for over 25 years has involved the development of theories and computational methods for the structural and thermodynamic properties of fluids using the techniques of statistical mechanics. The main approaches have been perturbation theory, integral equation, and computer simulation techniques (Monte Carlo and Molecular Dynamics) in this area. Expert and his associates have recently developed successful tools to deal with chemical engineering systems involving associated fluids and their mixtures, whose properties are among the most difficult to predict theoretically.

### Education

Year | Degree | Subject | Institution |
---|---|---|---|

Year: 1969 | Degree: PhD | Subject: Applied Mathematics | Institution: University of Waterloo |

Year: 1967 | Degree: MSc | Subject: Applied Mathematics | Institution: University of Waterloo |

Year: 1966 | Degree: MASc | Subject: Chemical Engineering | Institution: University of Toronto |

Year: 1965 | Degree: BASc | Subject: Engineering Science | Institution: University of Toronto |

### Work History

Years | Employer | Title | Department | Responsibilities |
---|---|---|---|---|

Years: 1990 to Present | Employer: Undisclosed | Title: Professor | Department: Mathematics and Statistics, School of Engineering | Responsibilities: |

Years: 1990 to Present | Employer: Undisclosed | Title: Adjunct Professor | Department: Chemical Engineering | Responsibilities: |

Years: 1984 to Present | Employer: Undisclosed | Title: Consultant | Department: | Responsibilities: |

Years: 1979 to 1990 | Employer: University of Guelph | Title: Professor and Chair | Department: Mathematics and Statistics | Responsibilities: |

Years: 1975 to 1979 | Employer: Dalhousie University (Halifax, NS) | Title: Associate Professor | Department: Mathematics | Responsibilities: |

Years: 1975 to 1979 | Employer: Dalhousie University (Halifax, NS) | Title: Assistant Professor | Department: Physiology and Biophysics | Responsibilities: |

Years: 1971 to 1975 | Employer: Dalhousie University | Title: Assistant Professor | Department: Mathematics | Responsibilities: |

Years: 1969 to 1970 | Employer: Dupont of Canada | Title: Research Engineer | Department: | Responsibilities: |

### Additional Experience

Vendor Selection |
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Expert has experience locating vendors of Windows-based hardware and software. His resources include PC magazines, contacts, and his consulting experience. |

Other Relevant Experience |
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He regularily supervises graduate students in mathematics, physics, and chemical engineering. |

### Fields of Expertise

BASIC programming language, IBM personal computer disk operating system, QuickBASIC software, Microsoft Visual Basic, LaTeX software, Java, Web development, World Wide Web software, Common Gateway Interface, FORTRAN programming language, chemical engineering mathematical modeling, Gibbs free energy, phase equilibrium thermodynamics, solution thermodynamics, vapor-liquid equilibrium, acid-base equilibrium, thermodynamic law, thermodynamic process evaluation, thermodynamic process optimization, thermodynamic property evaluation, equilibrium thermodynamics, linear programming, linear regression, nonlinear programming, curve fitting, least squares method, non-linear regression, numerical optimization, simplex method, differential calculus, linear algebra, matrix algebra, complex-variable algebra, real-variable algebra, differential equation, endocrinology modeling, biological modeling, computer simulation, computer algebra, statistical mechanics, pharmacokinetic modeling, World Wide Web application, Lantastic, hypertext markup language, Laplace equation, van der Waals' equation, genetic algorithm, process modeling, Monte Carlo method, applied mathematics, chemical process modeling, mathematical derivative, thermodynamic property, operations research, local area network, high-temperature thermodynamics, high-performance computing, mathematical differentiation, word processing software, chemical reaction, computer spreadsheet, Internet, rectangular matrix, fluid thermodynamic property, fluid physical property, liquid phase, phase change, thermodynamic process, probability, Microsoft disk operating system, optimization theory programming system, melting, computer mathematics, computer workstation, spreadsheet software, phase equilibrium, IBM personal computer, freezing/melting point, vapor pressure, vapor phase, thermophysical property, thermodynamics, surface fitting, sublimation, statistical data analysis, spline smoothing, solidification point, process assessment, phase diagram, phase, numerical modeling, numerical analysis, personal microcomputer, mechanics, mathematics, mathematical model, Lotus 1-2-3, latent heat, laptop computer, Laplace transform, imaginary number, freezing, free energy, state equation, entropy, enthalpy, critical point, computer network, computational mathematics, chemical equilibrium, chemical engineering, calculus, boiling thermodynamics, algebra