MMN0002 | Numerical Analysis |
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%).
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Links: | Syllabus for all subjects Romanian version for this subject Rtf format for this subject |