Tjalling Ypma Chair and Professor Department of Mathematics Office: Bond Hall 202A Office Hours: Winter - M-F 10:00-11:00 Phone: 360-650-3785 Email: Tjalling.Ypma@wwu.edu

Education

BSc, University of Cape Town; MSc, DPhil, Oxford University.

Academic Interests

Numerical analysis, especially linear algebra, nonlinear equations and optimization, ordinary differential equations and error analysis. Recent work has centered on computational simulation of kinetic processes in biochemistry.

Selected Publications

1. Local Convergence of Inexact Newton Methods. SIAM J. Numer. Anal.; 21, 583-590 (1984). 2. Relaxed Newton-like Methods for Stiff Differential Systems. J. Comp. Appl. Math.; 16, 95-103 (1986). 3. Historical Development of the Newton-Raphson Method. SIAM Review; 37, 531-551 (1995). 4. A Saxpy Formulation for Plane Rotations. Num. Lin. Alg. Appl.; 2, 533-541 (1995). 5. (with G. Czerlinski and R. Levin): Hemoglobin / Oxygen systems: Using Short-Lived Intermediates for Mechanistic Discrimination. J. Theor. Biology; 199, 25-44 (1999). 6. (with G. Czerlinski and R. Levin) The Effect of the Mixing Process on Reaction Kinetics. Internat. J. Chem. Kinetics; 35, 484-496 (2003). 7. (with Y-Q. Shen) Using One Singular Value Decomposition to Solve Nonlinear Equations with Rank Deficient Jacobians. (in press).

Personal Interests

Outdoor activities and endurance sports. Hiking, biking, climbing, skiing, kayaking. Triathlons (including ironman races), ultra-marathons and adventure races.

Courses

MATH 204	ELEMENTARY LINEAR ALGEBRA
MATH 412	MATHEMATICAL MODELING COMP