Algoritmi numerici
UPB, Facultatea de Inginerie Electrica, Master IEIA anul I, 2019/2020
Sunt lucruri pe care, cata vreme nu le inveti, nu le poti face;
sunt altele pe care, cate vreme nu le faci, nu le poti invata.
Proverb armenesc
Cadre didactice
Prof.dr.ing. Gabriela Ciuprina
Prof.dr.ing. Daniel IOAN
As.dr.ing.Sorin Lup
Referinte obligatorii
[1] Gabriela Ciuprina,
Algoritmi numerici pentru calcule stiintifice in ingineria electrica
Editura MatrixROM, 2013, ISBN 978-606-25-0008-5
[2] G.Ciuprina
Algoritmi numerici prin exercitii si implementari in Matlab
Editura MatrixROM, 2013, ISBN 978-606-25-0009-2
[3] G.Ciuprina, D.Ioan, I.Munteanu, M.Rebican, R.Popa,
Optimizarea numerica a
dispozitivelor electromagnetice , ISBN 973-652-465-5 Editura
Printech, ianuarie 2002.
Slide-uri
Template pentru redactarea rapoartelor in LaTeX
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Referinte
[4] D. Ioan et al., Metode numerice in ingineria electrica, Ed. Matrix Rom, Bucuresti, 1998.
[5] W.H. Press, S.A. Teukolsky, W.T. Vetterling, B.P. Flannery, Numerical Recipes in C, The Art of Scientific Computing, Cambridge University Press, 1992, disponibila la
http://www.nr.com/oldverswitcher.html
[6] K. Atkinson, W. Han, Teaching numerical analysis using elementary numerical analysis
http://www.cs.uiowa.edu/~atkinson/ena_master.html
[7] R. Barrett, M.Berry, T. Chan, J. Demmel, J. Donato, J. Dongarra, V. Eijkhout, R. Pozo, C. Romine, H. Vorst, Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods, SIAM Press, 1994, disponibila la
http://www.netlib.org/linalg/html_templates/Templates.html
[8] Netlib home page (contine software si documentatie in domeniul metodelor
numerice)
http://www.netlib.org
[9] T. Cormen, C. Leiserson, R. Rivest, C. Stein, Introduction to Algorithms, MIT Press, cap 1 (The role of algorithms in computing), cap 2 (Getting started), cap 3 (Growth of functions).
[10] L. N. Trefethen and D. Bau. Numerical Linear Algebra. SIAM. 1997. Philadelphia, PA. (Lecture 12: Conditioning and Condition Numbers; Lecture 13: Floating Point Arithmetic; Lecture 14: Stability; Lecture 15: More on Stability).
[11] Ward Cheney and David Kincaid, Numerical Mathematics and Computing, Brooks/Cole publishing Company,2000. (Capitolul Systems of Linear Equations).
[12] Timothy Davis, Direct methods for sparse linear systems, SIAM 2006.
[13] Timothy A. Davis, Sivasankaran Rajamanickam, and Wissam M. Sid-Lakhdar, A survey of direct methods for sparse linear systems, draftul unei lucrari ce va apare in 2016, disponibila la http://faculty.cse.tamu.edu/davis/publications_files/survey_tech_report.pdf
[14] Yousef Saad, Iterative Methods for Sparse Linear Systems, SIAM, 2003.
[15] Richard Barrett, Michael Berry, Tony F. Chan, James Demmel, June M. Donato, Jack Dongarra, Victor Eijkhout,Roldan Pozo, Charles Romine, and Henk Van der Vorst, Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods1, SIAM 1994.
[16] J.R. Shewchuk, An Introduction to the Conjugate Gradient Method Without the Agonizing Pain, Online.
[17] Lloyd N. Trefethen, David Bau III Numerical Linear Algebra, SIAM 1997.
[18] Freely Available Software for Linear Algebra (September 2016), disponibila la http://www.netlib.org/utk/people/JackDongarra/la-sw.html
[19] Overview of Iterative Linear System Solver Packages, disponibila la http://www.netlib.org/utk/papers/iterative-survey/
[20] L.O. Chua and P.M. Lin, Computer-aided analysis of electronic circuits: algorithms and computational techniques, Prentice-Hall. 1975.
[21] James Buchanan, Peter Turner, Numerical methods analysis, McGraw Hill, 1992 - Algoritmul lui Aitken
[22] Ward Cheney and David Kincaid, Numerical Mathematics and Computing, Brooks/Cole publishing Company,2000. (9.3 Interpolation by B Splines)
[23] B(asic)-Spline Basics, disponibil la http://ftp.cs.wisc.edu/Approx/bsplbasic.pdf
[24] Ward Cheney and David Kincaid, Numerical Mathematics and Computing, Brooks/Cole publishing Company,2000.
[25] Lloyd N. Trefethen, David Bau III, Numerical Linear Algebra, SIAM 1997.
[26] Bogdan Dumitrescu, Corneliu Popeea, Boris Jora, Metode de calcul numeric matriceal. Algoritmi fundamentali, Editura All, 1998.
[27] Raymond Rumpf. Lecture 9 (CEM) – Finite-Difference Method video la https://www.youtube.com/watch?v=v-exTNOSG3g. Alte materiale la http://emlab.utep.edu/ee5390cem.htm
[28] Alexander şi Sadiku, Fundamentals of Electric Circuits, (de exemplu ediţia a 4-a, 16.5 - variabile de stare).
[29] Michael Heath, Scientific computing. An Introductory Survey, McGraw Hill 2002 (capitolul 5 din carte şi alte resurse de la http://heath.cs.illinois.edu/scicomp/
[30] Leon Chua, Pen-Min Lin, Computarer-Aided Analysis of Electronic Circuits, Prentice-Hall,1975. (Capitolele 5 si 7)
Mod de notare
50 % pe parcurs (activitate pe parcurs 30 % + test final de laborator 20 %), 50 % examen.
Conturi Laborator
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