"Babes-Bolyai" University of Cluj-Napoca
Faculty of Mathematics and Computer Science

Numerical analysis (2)
Code
Semes-
ter
Hours: C+S+L
Credits
Type
Section
MC002
6
2+1+0
5
compulsory
Matematică
MC002
6
2+1+0
4
optional
Matematică-Informatică
MC002
6
2+1+0
6
optional
Matematici aplicate
Teaching Staff in Charge
Prof. COMAN Gheorghe, Ph.D.,  ghcomanmath.ubbcluj.ro
Asist. SOMOGYI Ildiko Mihaela,  ilkovacsmath.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.
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.