On the numerical solution of differential equations with algebraic constraints

Authors

Dr. Raymond Spiteri, Department of Mathematics and Statistics, McGill University and Numerical Analysis candidate for Position 3

Document Type

Presentation Abstract

Presentation Date

3-23-1999

Abstract

The numerical solution of differential equations subject to algebraic state constraints and invariants has become increasingly important in several fields of application. Research focused on solving such problems usually centres around the following question: How do you most efficiently utilize the explicit constraint in the discretization scheme of the differential equation? There are two usual lines of attack. The first attempts to build a discretization scheme that embodies the constraint in a direct way. The second augments a generic numerical scheme with additional techniques to enforce the constraints. However, there are significant differences between the corresponding numerical treatments of equalities and inequalities.

In this talk, I will take you from the sometimes tenuous safety of equality constraints to the wild frontiers of inequality constraints by means of several diverse and innovative applications.

Additional Details

Tuesday, 23 March 1999
4:10 p.m. in MA 109
Coffee/Tea/Treats 3:30 p.m. in MA 104 (Lounge)

Recommended Citation

Spiteri, Dr. Raymond, "On the numerical solution of differential equations with algebraic constraints" (1999). Colloquia of the Department of Mathematical Sciences. 39.
https://scholarworks.umt.edu/mathcolloquia/39