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Dersin Bilgileri

Dersin Adı
Türkçe Adi Türevli Diferansiyel Denklemler için Sayısal Analiz
İngilizce Numerical Analysis for Ordinary Differential Equations
Dersin Kodu
MAT 544E Kredi Ders
(saat/hafta)
Uygulama
(saat/hafta)
Labratuvar
(saat/hafta)
Dönem -
3 3 - -
Dersin Dili İngilizce
Dersin Koordinatörü Ahmet Kırış
Dersin Amaçları 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.
Dersin Tanımı 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
Dersin Çıktıları 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
Önkoşullar
Gereken Olanaklar
Diğer
Ders Kitabı K. Atkinson, W. Han, D. Steward, Numerical Solution of Ordinary Differential Equations, 2009.
Diğer Referanslar . 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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