Nonlinear algebraic systems
7.1 Functional iteration
From the point of view of a numerical mathematician, which we adopted in Chapters 1–5, the solution of ordinary differential equations is all about analysis – i.e. convergence, order, stability and an endless progression of theorems and proofs. The outlook of Chapter 6 parallels that of a software engineer, being concerned with the correct assembly of computational components and with choosing the step sequence dynamically. Computers, however, are engaged neither in analysis nor in algorithm ...