Subject: Numerical Analysis (2)	Code: MC002	

Semester	 Hours: C+S+L	Type	 Section	
6	2+1+0	compulsory	Mathematics	
6	2+1+0	optional	Mathematics-Computer Science	
6	2+1+0	optional	Applied Mathematics	

Teaching Staff in Charge	Prof. COMAN Gheorghe, Ph.D., ghcoman@math.ubbcluj.ro
Lect. CATINAS Teodora Maria, Ph.D., tcatinas@math.ubbcluj.ro	
Aims	Advensed course in numerical analysis	
Content	1. Multivariate approximation of functions. 
2. Cuadrature and cubature formulas.
3. Numerical solutions for algebraic systems with rare matrices.
4. Numerical methods obtained by inverse interpolation.
5. Numerical methods for differential equations.
6. Multigrid methods	
Selective References	1. COMAN GH.: Analiza numerica. Cluj-Napoca: Ed. Libris, 1995.
2. BLUM E.K.: Numerical Analysis and Computation Theory and Practice. Menlo Park: Addison Wesley Publishing Company, 1972.
3. COMAN GH.: Multivariate approximation schemes and approximation of linear functionals. Mathematica 16(39), 1974, 229-249.
4. SARD A.: Linear Approximation. Rhode Iland: AMS, 1963.
5. TROUB J.F.: Iterative methods for the solution of equations. Englewood Cliffs, N.J.: Prentice-Hall, Inc., 1964.
6. WESSELING P.: An Introduction to Multigrid Methods. John Wiley and Sous, 1992.
7. ZLATEV Z.: Computational Methods for General Sparse Matrices. Kluwer Acad. Publishers, 1991.
8. COMAN GH.: Interpolation Operators. Cluj-Napoca: Editura Casa Cartii de Stiinta,  2004. (in colaborare cu 7 doctoranzi).
9. STANCU D.D., COMAN GH., AGRATINI O., TRIMBITAS R.: Analiza numerica si teoria aproximarii. Vol.1, Cluj-Napoca: Presa Universitara Clujeana, 2001.
10. STANCU D.D., COMAN GH., BLAGA P.: Analiza numerica si teoria aproximarii. Vol.2, Cluj-Napoca: Presa Universitara Clujeana, 2002	
Assessment	Exam