Babes-Bolyai University of Cluj-Napoca
Faculty of Mathematics and Computer Science
Study Cycle: Graduate

SUBJECT

Code
Subject
MMN0002 Numerical Analysis
Section
Semester
Hours: C+S+L
Category
Type
Mathematics
4
2+1+2
speciality
compulsory
Mathematics and Computer Science
4
2+1+2
speciality
compulsory
Teaching Staff in Charge
Assoc.Prof. CHIOREAN Ioana Rodica, Ph.D.,  ioanacs.ubbcluj.ro
Asist. SOMOGYI Ildiko Mihaela,  ilkovacsmath.ubbcluj.ro
Assoc.Prof. LISEI Hannelore-Inge, Ph.D.,  hannemath.ubbcluj.ro
Aims
Basic course in numerical analysis.
Content
1. Error theory. Approximation. Types of errors.
2. Finite and divided differences.
3. Functions approximation. Interpolation. Uniform approximation. Linear and positive operators.
4. Approximation of linear functionals. Numerical derivatives. Numerical cuadratures.
5. Numerical solutions of some classes of operatorial equations. Direct and iterative methods for solving linear systems of equations. Multigrid methods. Numerical methods for solving nonlinear equations. Numerical methods for differential equations.
6. Example of solving practical problems from Physics, Biology, Chemistry by means of numerical analysis.
References

1. COMAN,GH., CHIOREAN,I.,CATINAS,T., Advance Course on Numerical Analysis, Presa Universitara clujeana, Cluj-Napoca, 2007
2. CHIOREAN,I., Numerical Methods in Abstract Spaces, Presa Universitara Clujeana, Cluj-Napoca, 2008
3. COMAN,GH.: Analiza numerica, Ed. Libris, Cluj-Napoca, 1995.
4. STANCU,D.D.: Analiza numerica, curs si culegere de probleme, Univ. Babes-Bolyai Cluj-Napoca, 1977 (lito).
5. AGRATINI,OCTAVIAN- BLAGA,PETRU- CHIOREAN,IOANA- COMAN,GHEORGHE- STANCU,D.DIMITRIE- TRAMBITAS,RADU: Analiza numerica si teoria aproximarii(vol.I,II,III), Presa Univ.Clujeana, 2002
6. BLAGA,PETRU - COMAN,GHEORGHE, TRAMBITAS,RADU - VASARU,DANIELA- POP,SORIN: Analiza numerica, lucrari de laborator, Univ. Babes-Bolyai Cluj-Napoca, 1995 (lito).
7. DEMIDOVICI,B.P.- MARON, A.: Elements de calcul numerique, Ed. Mir, Moscou, 1979.
Assessment
The final mark is the mean between the final written exam (60%) and the work at the seminar and the laborator classes (40%).
Links: Syllabus for all subjects
Romanian version for this subject
Rtf format for this subject