Aims Lecture Notes 2006 10. Numerical Solution of Ordinary Differential Equations 10.1. First Order Systems of Ordinary Differential Equations. First Order Systems
نویسنده
چکیده
This part is concerned with the numerical solution of initial value problems for systems of ordinary differential equations. We will introduce the most basic one-step methods, beginning with the most basic Euler scheme, and working up to the extremely popular Runge–Kutta fourth order method that can be successfully employed in most situations. We end with a brief discussion of stiff differential equations, which present a more serious challenge to numerical analysts.
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