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metodosnumericosavanzados's Introduction

Métodos Numéricos Avanzados (2015-2)

Créditos: 12

Luis Benet y David P. Sanders

Lugar y horario

Laboratorio Libre IV, Depto Física (2o piso), Fac. Ciencias, UNAM

Lunes 9:00-12:00 y martes 10:00-13:00

Temario

  1. Introducción a herramientas colaborativas: git y GitHub.

  2. Conceptos modernos de programación usando julia.

  3. Aritmética del punto flotante y aritmética de intervalos. Análisis y funciones de intervalos.

  4. Validación numérica al encontrar ceros, en optimización y cuadraturas.

  5. Diferenciación automática en una y varias variables. Método de Taylor, transporte de jets y aplicaciones en ecuaciones diferenciales ordinarias.

  6. Álgebra lineal.

Bibliografía

  • W. Tucker, Validated numerics: A short introduction to rigorous computations, Princeton University Press, 2011.

  • R.E. Moore, R. Backer Kearfott and M.J. Cloud, Introduction to Interval Analysis, SIAM, 2009.

  • G. Dahlquist and A. Björk, Numerical Methods in Scientific Computing, SIAM, 2008.

Nota: Para visualizar el material del curso de manera sencilla pueden utilizar nbviewer

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