Main Bibliography |
I. Main references
• R.L. Burden & J.D. Faires , " Numerical Analysis 9e", 2011, Brooks/Cole, Cengage Learning. • H. Pina, "Métodos Numéricos", Mc Graw-Hill, Alfragide, 1995. • M.R. Valença , "Métodos Numéricos", INIC, Braga, 1988.
II. Secondary references
• J.C. Butcher , "The Numerical Analysis of Ordinary Differential Equations", John Wiley & Sons, Auckland, 1987. • E. Hairer , S.P. Nørsett & G. Wanner , " Solving Ordinary Differential Equations I ", Springer Series in Comput. Mathematics, Vol. 8, Springer-Verlag, Heidelberg, 1987. • E. Hairer & G. Wanner , " Solving Ordinary Differential Equations II ", Springer Series in Comput. Mathematics, Vol. 8, Springer-Verlag, Heidelberg, 1987.
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Teaching Methodologies and Assessment Criteria |
The course is structured in theoretical-practical classes. The teacher introduces the concepts, states and proves the fundamental results, provides examples and applications. The combination of the theory with the practice in the classes allows the exercises to be performed immediately after each theoretical content, which improves the acquisition of knowledge and skills. In addition, the student is encouraged to participate in classes, to interact with the teacher and with colleagues, and to work autonomously, in the form of exercises, formulation and problem solving.
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