2001-78.md

course	course_year	question_number	tags	title	year
Numerical Analysis	II	78	II 2001 Numerical Analysis	A2.19 B2.19	2001

(i) Define $m$-step BDF (backward differential formula) methods for the numerical solution of ordinary differential equations and derive explicitly their coefficients.

(ii) Prove that the linear stability domain of the two-step BDF method includes the interval $(-\infty, 0)$.