Solución numérica de ecuaciones diferenciales parciales: métodos en diferencias

Temario


Objetivo General

Aproximar numéricamente con métodos de Diferencias Finitas (explícitos e implícitos) ecuaciones diferenciales parciales hioerbólicas y parabólicas.

Bibliografía

    1. Thomas J. W. Numerical Partial Differential Equations. Finite Difference Methods. Vol .1 and Vol 2. Springer

    2. Mattheij, S. W. Rienstra and J. H. M ten Thije Boonkkamp. Partial Differential Equations Modeling analysis, Computation. SIAM

    3. Smith G. D. Solution of partial differential equations: finite difference methods. Oxford Press.

    4. Strikwerda J. C. Finite difference schemes and partial differential equations. 2004, SIAM.

    5. LeVeque R. J. Finite difference methods for ordinary and partial differential equations. 2007. SIAM.

    6. Morton, K. W., and D. F. Mayers. Numerical Solution of Partial Differential Equations, 1994. Cambridge press.

    7. Peaceman D. W. Fundamentals of Numerical Reservoir Simulation. Developments in Petroleum Science No. 6, Elsevier.

    8. Trangenstein, J. A. Numerical solution of hyperbolic partial differential equations. Cambridge University Press.

    9. Holmes M. H. Introduction to numerical methods in differential equations. 2000, Texts in Applied Mathematics No. 52, Springer

    10. Samarskii, A. A. The theory of difference schemes. 2001, Marcel Dekker, Inc.

    11. Shashkov M. Conservative Finite-Difference Methods on General Grids. 1996, CRC Press.

  • Propagación de ondas en medios heterogéneos: Simulaciones y Aplicaciones (Seminario de titulación). En conjunto con los Doctores Miguel Molero y Lucía Medina