Ghana

Theories of Ordinary Differential Equations (ODEs): Special Topics

Abdulhakeem Yusuf

Summary: The following topics were covered during the period of stay

1. GENERAL FIRST-ORDER EQUATION i. General Introduction of ODE ii. iii. Equivalence of an Initial Value Problem Existence & Uniqueness Theorem

2. LINEAR SYSTEM OF FIRST-ORDER EQUATION i. Characrerisation of the Fundamental Matrix ii. iii. iv. v. vi. vii. Properties of Linear Systems Adjoint systems Homogeneous and non-homogeneous system Autonomous Differential equations LINEAR SYSTEMS WITH PERIODIC COEFFICIENTS THEORY OF OSCILLATION

AMS in MATHEMATICAL METHODS IN ANALYSIS AND PROBABILITY

Coordinator: Olivier Menoukeu Pamen, AIMS-Ghana

Mathematical Modeling: Where Ecology and Infectious Diseases Intersect

Coordinator: Kenneth Dadedzi, (University of Ghana, Legon Accra, Ghana)

Analysis and Numerics of Partial Differential Equations

The aim of the school is to introduce participants to several numerical techniques and analysis in Partial Differential Equations (PDEs). The topics to be treated will vary from standard contemporary schemes to recent advances in the numerical treatment of PDEs and numerical linear algebra techniques. Some of the other topics to be presented during the school are: model order reductions, pde constrained optimal control and inverse problems.

Ghana