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12698 Numerical Calculus - Computational Sciences Engineering


Center
School of Engineering
Departament
Atomic, Molecular and Nuclear Physics
Lecturers in charge
H1316 - JUAN ZUÑIGA ROMAN
Met. Docent
Theory.- Lectures and tutorials, numerical methods with examples and practical exercises.
Lab Session.- Computing training and programming exercises.
Met. Avaluació
Final examination and project work
Bibliografia
Theory
-R. Guardiola, E. Higón y J. Ros, Mètodes numèrics per a la física, Servei de Publicacions (Universitat de València) Tercera edición. 2002. {\tt \\http://www.uv.es/calculonumerico}
-F. B. Hildebrand, Introduction to Numerical Analysis, MacGraw-Hill (New York, 1964).
-F. Scheid, Numerical Analysis, Schaum s Outline Series. MacGraw-Hill (New York,1988).
-R.L. Burden, J.D. Faires, Análisis Numérico, Grupo Editorial Iberoamericana, 1985.
-D.Kinkaid y W.Chenney, Análisis Numérico, Addison Wesley, 1994.
Laboratory
-Course handbook: Juan José Gómez Cadenas, Juan Zúñiga, Prácticas de Cálculo Numérico en C++. Reprografía Campus de Burjassot.
Continguts
Knowledge and Practice of the basic numerical methods in scientific calculations. Programming numerical algorithms.
PROGRAM
THEORY PROGRAM : (Groups TO and B)
Unit 1.- Solution of non linear equations
Unit 2.- Linear Systems
Unit 3.- Eigensystems
Unit 4.- Interpolation.
Unit 5.- Numerical Derivation and Integration
Unit 6.- Minimization and maximization of functions.
Unit 7.- Modeling Experimental Data
Unit 8.- Ordinary Differential Equations
Lab Program
Session 1. - Introduction to C++ (I).
Session 2. - Introduction to C++ (II).
Session 3. - Zeros of functions.
Session 4. - Vector and matrix classes in C++..
Session 5. - Problems of lineal algebra and diagonalisation of matrices..
Session 6. - Interpolation.
Session 7. - Numerical Derivation and Integration.
Session 8. - Modeling Experimental Data.
Session 9. - Ordinary Differential Equations.
Session 10. - Recovery.