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
Thomas J. W. Numerical Partial Differential Equations. Finite Difference Methods. Vol .1 and Vol 2. Springer
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Strikwerda J. C. Finite difference schemes and partial differential equations. 2004, SIAM.
LeVeque R. J. Finite difference methods for ordinary and partial differential equations. 2007. SIAM.
Morton, K. W., and D. F. Mayers. Numerical Solution of Partial Differential Equations, 1994. Cambridge press.
Peaceman D. W. Fundamentals of Numerical Reservoir Simulation. Developments in Petroleum Science No. 6, Elsevier.
Trangenstein, J. A. Numerical solution of hyperbolic partial differential equations. Cambridge University Press.
Holmes M. H. Introduction to numerical methods in differential equations. 2000, Texts in Applied Mathematics No. 52, Springer
Samarskii, A. A. The theory of difference schemes. 2001, Marcel Dekker, Inc.
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