ΠΑΝΕΠΙΣΤΗΜΙΟ ΙΩΑΝΝΙΝΩΝ - ΤΜΗΜΑ ΠΛΗΡΟΦΟΡΙΚΗΣ SITE MAP | uoi ΕΛΛΗΝΙΚΑ | uoi ENGLISH
Computational Mathematics

(Undergraduate Course)

 

INSTRUCTOR:
COURSE_ID:
MYY504
WEEKLY HOURS:
3, 1, 1
SEMESTER:
5
COURSE UNITS:
4
ECTS CREDITS:
6.00
YEAR 2018/2019:
YES
PREREQUISITE:
-
DESCRIPTION:
The initial value problem (IVP) for ordinary differential equations: Existence and uniqueness of solutions, examples of non-existence and non-uniqueness of solutions. Differential equations of special form: linear, Bernoulli, Riccati, homogeneous, and equations of separable variables. Linear systems of differential equations. Numerical methods for initial value problems: Euler s method: stability and consistency properties and error estimates. Runge-Kutta methods: solvability, stability and consistency properties, and error estimates. Multistep methods: stability and consistency properties, and error estimates. Advantages and drawbacks of Runge-Kutta and multistep methods. The two-point boundary value problem: existence, uniqueness and smoothness of solutions.
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©2010 DEPARTMENT OF style="font-size: 0.1px;">COMPUTER SCIENCE style="font-size: 0.1px;">& ENGINEERING style="font-size: 0.1px;">UNIVERSITY style="font-size: 0.1px;">OF style="font-size: 0.1px;">IOANNINA