Análisis Numérico MAESTRÍA

Temario-Maestría

1. Sistemas numéricos de punto flotante

2. Álgebra lineal numérica

3. Solución de ecuaciones escalares

4. Mínimo de cuadrados lineales

5. Valores y vectores propios

6. Aproximación de funciones

7. Diferenciación e integración numérica

Bibliografía

• • 1. Stoer, J. and R. Bulirsch. Introduction to Numerical Analysis. Third Edition, Springer Verlag.

    2. Germund Dahlquist and Åke Björck. 2008. Numerical Methods in Scientific Computing. Volume 1. SIAM

    3. Åke Björck and Germund Dahlquist. 2008. Numerical Methods in Scientific Computing. Volume 2. SIAM

    4. Plato, R. Concise Numerical Mathematics. American Mathematical Society.

    5. Süli E. and D. Mayers. An Introduction to Numerical Analysis. Cambridge University Press.

    6. Rainer Kress. Numerical Analysis. Springer Verlag. 1991

    7. Stewart, G.W., Afternotes goes to Graduate School, SIAM, 1997.

    8. Meyer C. D. Matrix Analysis and Applied Linear Algebra. SIAM.

    9. Golub G. H. and V. Loan. Matrix computations, 1996. Third Edition, John Hopkins University Press.

    10. Trefethen L. N. Numerical Linear Algebra. SIAM.

    11. Datta B. N. Numerical Linear Algebra and Applications. Second Edition, SIAM.

    12. Demmel J. W. Applied numerical linear algebra. 1997. SIAM.

    13. Åke Björck. Numerical methods for Matrix Computations. Springer Verlag, 2015.

    14. Åke Björck. Numerical methods for least squares problems. SIAM, 1996.

    15. Ipsen I. C. F. Numerical Matrix Analysis Linear Systems and Least Squares. SIAM.

    16. Quarteroni A., R. Sacco and F. Saleri. Numerical mathematics. 2007, Springer Verlag.

    17. Perm K. Kythe & Michel R. Schaferkotter. Handbook of Computational Methods for Integration. Chapman & Hall, 2005.

        1. Arnold R. Krommer & Christoph W. Ueberhuber. Computational Integration. SIAM, 1998

    18. Golub G. H. and Gerard Meurant. Matrices, moments and quadrature with applications. Princeton University Press 2010.

    19. Carl de Boor. A practical guide to splines. Springer Verlag 2001.

    20. Demidovich B. P and I. A. Maron. Computational Mathematics. Mir Publishers Moscow.

    21. Nash J. C. Compact Numerical Methods for Computers Linear Algebra and Function Minimization. Adam Hilger, Bristol and N.Y.

    22. Linz P. Theoretical Numerical Analysis: An Introduction to Advanced Techniques. Dover Press

    23. Skiba Y. Métodos y esquemas numéricos un análisis computacional, 2005, U.N.A.M.

    24. Overton, M. L. Cómputo numérico con aritmética de punto flotante IEEE. SIAM. (Aportaciones Matemáticas SMM No. 19)

    25. Ralston A and P. Rabinowitz. A first course in numerical analysis. Dover Press.

    26. Collins R. E. Mathematical methdos for physicists and engineers. Dover Press.

    27. Won Y. Y., Wenwu Cao, Tae-Sang Chung and J. Morris, Applied Numerical Methods using Matlab, 2005, Wiley-Interscience

    28. Press, William H.; Teukolsky, Saul A.; Vetterling, William T.; Flannery, Brian P. (1992). Numerical Recipes in C: The Art of Scientific Computing. New York: Cambridge University Press.

    29. Traub, J.F. Iterative methods for solution of equations. Chelsea Publishing Company, 1964.

    30. Carl de Boor. A Practical Guide to Splines, Springer Verlag.

Presentaciones y material adicional