The manifold boundary approximation method, MBAM is a new technique used in approximating systems of equations using parameter reduction. This method and other approximation methods are introduced and described. Several current issues in performing MBAM are discussed in further detail. These issues significantly slow down the process of MBAM and create a barrier of entry for those wishing to use the method without a strong background in mathematics. A solution is proposed to automatically reparameterize models and evaluate specific types of variables approaching limits -- significantly speeding up the process of MBAM. An implementation of the solution is discussed.
College and Department
Physical and Mathematical Sciences; Computer Science
BYU ScholarsArchive Citation
Bjork, Dane Jordan, "An Algorithm for Symbolic Computing of Singular Limits of Dynamical Systems" (2018). Theses and Dissertations. 6948.
Approximation, Automation, Parameter Reduction, MBAM