About This Course
The study of differential equations is a fundamental subject area of Mathematics which links important strands of Pure Mathematics to Applied and Computational Mathematics. This course enables one to analyze a number of numerical algorithms for approximating the solution of a variety of generic problems which occur in applications. The course will begin with the description of interpolation and introduction of difference equations followed by the numerical techniques for IVPs and BVPs, their Stability and Convergence. Particular emphasis in this course is to interconnect the theoretical results and computer implementation. Students will study not only the solid theoretical backgrounds in developing and understanding the algorithms but also a hands-on experience to implement the methods
Frequently Asked Questions
Do I need to buy a textbook?
Computer Methods for Ordinary Differential Equations and Differential Algebraic Equations by UM Ascher and LR Petzold, SIAM, 1998.