Ordinary Differential Equations and the Approximation module (MA41003)

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Credits

15

Module code

MA41003

Ordinary differential equations (ODEs) are an essential modelling tool in science and engineering. ODEs can rarely be solved exactly, and techniques have been developed to derive approximate solutions that may, in principle, be made as accurate as desired. In this module, you will learn the basic numerical methods for the approximate solution of initial and boundary value problems (IVPs and BVPs). You will engage with the construction of these methods and with aspects of consistency, stability and convergence theory, i.e. the fundamental properties that make the most successful methods stand out.