Partial differential equations: analytic aspects

Abstract

As seen in the preceding chapter, fluid dynamics in governed by partial differential equations. Therefore knowledge of the numerical analysis of partial differential equation is indispensable in computational fluid dynamics. Introductions to this subject of varying degree of difficulty are Fletcher (1988), Hackbush (1986), Hall and Porching (1990), Hirsch (1988), Lapidus and Pinder (1982), Mitchell and Griffiths (1994), Morton and Mayers (1994), Grossmann and Roos (1994), Strikwerda (1989), Quarteroni and Valli (1994), Richtmyer and Morton (1967); the last book in particular is useful for practitioners of computational fluid dynamics.