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

SUBJECT

Code
Subject
MMP0008 Numerical Methods
Section
Semester
Hours: C+S+L
Category
Type
Information engineering
2
2+0+2
fundamental
compulsory
Teaching Staff in Charge
Assoc.Prof. TRÎMBITAS Radu Tiberiu, Ph.D.,  tradumath.ubbcluj.ro
Lect. CATINAS Teodora Maria, Ph.D.,  tcatinasmath.ubbcluj.ro
Asist. SOMOGYI Ildiko Mihaela,  ilkovacsmath.ubbcluj.ro
Aims
Basic course in numerical analysis.
Content
1. Error Theory and Floating-Point Arithmetic.
2. Numerical solution of linear systems. Direct methods: GEPP, LUP decomposition, Cholesky and QR decomposition. Stationary iterative methods: Jacobi, Gauss-Seidel, SOR
3. Function Approximation: least squares approximation, polynomial and spline interpolation.
4. Linear functional approximation: numrical differentiation and integration. Newton-Cotes and Gauss quadrature formulas.
5. Nonlinear equations. Equations in R: successive approximation, Newto@s, secant method. Nonlinear systems: Newton@s and Broyden@s method
6. Differential equations. Runge-Kutta Methods.
References
1. COMAN,GH.: Analiza numerica, Ed. Libris, Cluj-Napoca, 1995.
2. STANCU,D.D.: Analiza numerica, curs si culegere de probleme, Univ. Babes-Bolyai Cluj-Napoca, 1977 (lito).
3. 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
4. BLAGA,PETRU - COMAN,GHEORGHE, TRAMBITAS,RADU - VASARU,DANIELA- POP,SORIN: Analiza numerica, lucrari de laborator, Univ. Babes-Bolyai Cluj-Napoca, 1995 (lito).
5. R. TRIMBITAS - Analiza numerica. O introducere bazata pe MATLAB. Presa Universitara Clujeana 2005.
6. R. TRIMBITAS - Numerical Analysis. Presa Universitara Clujeana 2006.
7. R. TRIMBITAS - Numerical Analysis in MATLAB. Presa Universitara Clujeana 2009.
Assessment
The score is computed as (score of final test+score for laboratory)/2
Links: Syllabus for all subjects
Romanian version for this subject
Rtf format for this subject