Course Information

Course Name	Turkish	Adi Türevli Diferansiyel Denklemler için Sayısal Analiz
	English	Numerical Analysis for Ordinary Differential Equations
Course Code	MAT 544E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	-	3	3	-	-
Course Language		English
Course Coordinator		Ahmet Kırış
Course Objectives		To introduce the basic concepts of the solutions of the ordinary differential equations and systems To teach various numerical methods to solve ordinary differential equations. To teach the general error analysis of various numerical methods.
Course Description		Classifies ordinary differential equations with respect to their certain properties, examine stability and convergence of the ordinary differential equations, Solves ordinary differential equations numerically by using one-step methods, Solves ordinary differential equations numerically by using multi-step methods, Solves systems of equations; Solves stiff differential equations; Solves differential algebraic equations. Solves two-point boundary value problems
Course Outcomes		Classifies ordinary differential equations with respect to their certain properties, examine stability and convergence of the ordinary differential equations, Solves ordinary differential equations numerically by using one-step methods, Solves ordinary differential equations numerically by using multi-step methods, Solves systems of equations; Solves stiff differential equations; Solves differential algebraic equations. Solves two-point boundary value problems
Pre-requisite(s)
Required Facilities
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Textbook		K. Atkinson, W. Han, D. Steward, Numerical Solution of Ordinary Differential Equations, 2009.
Other References		. K. Atkinson, W. Han, D. Steward, Numerical Solution of Ordinary Differential Equations, 2009. . J.C. Butcher, Numerical Methods for Ordinary Differential Equations, Wiley, 2008 . D. Griffiths and D. Higham, Numerical Methods for Ordinary Differential Equations, Springer, 2010 A. Iserles, A First Course in the Numerical Analysis of Differential Equations,Cambridge University Press, Cambridge, 1996 J.C. Butcher, The numerical analysis of ordinary differential equations: Runge-Kutta and general linear methods, Wiley, 1987

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