Nordic Informatics Network in the Agricultural Sciences

Differential equations and dynamic systems in agriculture

Profiles of teachers

Professor Ken Jackson

E-mail: krj@cs.toronto.edu

Biography

Ken Jackson is a Montreal native, but grew-up in Toronto. He received all his degrees from the University of Toronto: a BSc in Mathematics and Computer Science in 1973, an MSc in Computer Science in 1974, and a PhD in Computer Science in 1978. He then spent three years in the Computer Science Department at Yale University, first as a Gibbs Instructor and then as a visiting assistant professor, before returning to the Computer Science Department at the University of Toronto in 1981 as an assistant professor and NSERC University Research Fellow. He served as the associate chairman of the department from 1987 to 1989 and is currently a full professor.

His research interests are primarily in the area of numerical computation, in particular the numerical solution of ordinary differential equations (ODEs) and the associated problems in linear and nonlinear algebra. Much of his recent research has focused on parallel methods for both initial-value and boundary-value problems for ODEs. He is also interested in applying numerical methods to practical problems. Three current projects involve air quality modelling, computational finance and parallel numerical methods for weather forecasting.

Selected Publications

• K. Jackson and S. Norsett, "The potential for parallelism in Runge-Kutta methods. Part 1: RK formulas in standard form", SIAM J. Numer. Anal., 32, 1995, pp. 49-82.
• K. Jackson, A. Kvaerno and S. Norsett, "The use of Butcher series in the analysis of Newton-like iterations in Runge-Kutta formulas", Applied Numerical Mathematics, 15, 1994, pp. 341-356.
• N. Broderick, C. de Sterke and K. Jackson, "Coupled mode equations with free carrier effects: a numerical solution", J. Optical and Quantum Electronics, 26, 1994, pp. S219-S234.

For further publications you may wish to see http://www.cs.toronto.edu/~krj/publications.html.

Guest Teacher: Per Grove Thomsen

Per Grove Thomsen

Professor of Numerical Analysis, Department of Mathematical Modeling, Technical University of Denmark.

Phone: (+45) 45 25 3073
Fax: (+45) 45 93 23 73
E-mail:pgt@imm.dtu.dk

Research Activities.

Main interests are the Numerical Solution of ODE's and Computational Fluid Mechanics. Member of the NORFA network on the design and development of a "Generic ODE Solving System". In cooperation with NTH and LTH we design software for the solution of systems of DAE's based on the Object Oriented library GODESS. The present version has got the name NIKE.

Main Topics of Interest

• Solution of ODE's.
• Numerical methods for the solution of stiff systems of ODE's especially Semi Diagonally Implicit Runge Kutta methods, their implementation in efficient and robust simulation software packages. Special implementations for large systems with sparse Jacobean matrices. Real Time simulation applications on Parallel Computing Environments.
• Computational Fluid Dynamics. (CFD)
• Methods for visualisation.
• Flight Simulators.
• Wing Sections and wing design.

A very very short biography

• Born in Esbjerg, Denmark, 1941.
• M.Sci. in Electrical Engineering and Mathematics at DTH in 1967.
• Visiting Research Assistant at Dept. of Mathematics, University of Dundee 1971-72.
• Assoc. Prof. in Numerical Analysis, DTU 1974.
• Visiting Professor at Dept. of Computer Science , University of Waterloo, 1983-84.
• Visiting the Mittag-Leffler Institute in Stockholm, Sweden in may 1998.

Teaching activities in the spring of 1999

• Lectures in : Topics in Numerical Analysis course no. 04210 advanced topics in numerical computation and scientific computing Special topic: Discrete and Fast Fourier Transform.
• A PhD course on the numerical solution of DAE's
• Numerical Analysis for Differential Algebraic systems

Teacher: Bo Martin Bibby

Bo Martin Bibby

Assistant professor of statistics, Department of Mathematics and Physics, Royal Veterinary and Agricultural University, Denmark.

Personal Data

Title: Assistant Professor, MSc (stat.) PhD
E-Mail: bibby@dina.kvl.dk

Education and positions

• August 1991, MSc in statistics from The University of Aarhus.
• September 1991, Scientist at Research Centre Foulum.
• August 1995, PhD in statistics from The University of Aarhus.
• September 1996, Assistant Professor at The Royal Veterinary and Agricultural University.

Research interest

Mathematical modelling of dynamical systems. Inference for stochastic processes with particular emphasis on compartmental diffusion process models.

Publications

• Scientific publications:
• Bibby, B. M. 1992: Statistical Analysis of Compartment Models. Research Report No. 11, Dina.
• Bibby, B. M. 1994: A Two-Compartment Model with Additive White Noise. Research Report No. 290, Department of Theoretical Statistics, Institute of Mathematics, University of Aarhus.
• Bibby, B. M. 1994: Optimal Combination of Martingale Estimating Functions for Discretely Observed Diffusion Processes. Research Report No. 298, Department of Theoretical Statistics, Institute of Mathematics, University of Aarhus.
• Bibby, B. M. 1995: Analysis of a Tracer Experiment Based on Compartmental Diffusion Models. Research Report No. 303, Department of Theoretical Statistics, Institute of Mathematics, University of Aarhus.
• Bibby, B. M. 1995: On Estimation in Compartmental Diffusion Models. Research Report No. 305, Department of Theoretical Statistics, Institute of Mathematics, University of Aarhus.
• Weisbjerg, M. R., Hvelplund, T. & Bibby, B. M. 1995: Nutrient metabolism in the digestive tract of cows fed with different amounts of soya bean meal or urea together with barley whole crop and modelling of the rumen protein metabolism. Research Report No. 27, National Institute of Animal Science.
• Articles in journals etc.
• Bibby, B. M. & Soerensen, M. 1995: Martingale Estimation Functions for Discretely Observed Diffusion Processes. Bernoulli 1(1):17-39.
• Bibby, B. M. & Soerensen, M. 1996: On Estimation for Discretely Observed Diffusions: A Review. Theory of Stochastic Processes 18(2).
• Bibby, B. M. & Soerensen, M. 1997: A Hyperbolic Diffusion Model for Stock Prices. Finance and Stochastics 1(1):25-41.
• Papers at congresses etc.
• Bibby, B. M. & Danfaer, A. 1995: Parameterisation of a Compartmental Dynamic Model Using SimuSolv. Proceedings of IVth International Workshop on Modelling Nutrient Utilisation in Farm Animals, Research Centre Foulum, Denmark, 3-5 October 1994.

Author: phd@dina.kvl.dk. Updated: 5 May 2000