Let {fm}m ≥ 1 be a sequence of holomorphic functions defined on a bounded domain D ⊂ ℂn or a sequence of rational functions (1 ≤ deg rm ≤ m) defined on ℂn. We are interested in finding sufficient ...

This unit sets out to explore some core notions in functional analysis. Functional analysis originated partly in the study of integral equations. It forms the basis of the theory of operators acting ...

A well-known theorem of Lax and Wendroff states that if the sequence of approximate solutions to a system of hyperbolic conservation laws generated by a conservative consistent numerical scheme ...