Course Information

Course Name	Turkish	Sayısal Kısmi Diferansiyel Denklemler
	English	Numerical Partial Differential Equations I
Course Code	MAT 557	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	-	3	3	-	-
Course Language		Turkish
Course Coordinator		Gülçin Mihriye Muslu
Course Objectives		I.To introduce basic concepts of the solutions of the partial differential equations. II. To teach finite difference methods to solve partial differential equations and to do convergence, consistency, stability analyses.
Course Description		Finite difference methods for hyperbolic partial differential equations, convergence, consistency, stability, Courant-Friedrichs-Lewy condition, Von Neumann analysis, order of accuracy of finite difference schemes, multistep schemes, dissipation, dispersion, finite difference methods for parabolic partial differential equations, multidimensional partial differential equations, LaxRichtmyer equivalence theorem, finite difference methods for elliptic partial differential equations, maximum principle
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Textbook		1. Strikwerda, J., 2004, Finite difference schemes and partial differential equations, SIAM. 2. Morton K. W., Mayers D. F., 2005, Numerical solution of partial differential equations, Cambridge University Press. 3. LeVeque, R. J., 2007, Finite difference methods for ordinary and partial differential equations, SIAM. 4.Smith G. D., 1985, Numerical solution of partial differential equations, Oxford University Press. 5. Thomas J. W., 1998, Numerical partial differential equations: Finite difference methods, Springer
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