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course course_year question_number tags title year
Numerical Analysis
II
76
II
2004
Numerical Analysis
A1.20 B1.20
2004

(i) Define the Backward Difference Formula (BDF) method for ordinary differential equations and derive its two-step version.

(ii) Prove that the interval $(-\infty, 0)$ belongs to the linear stability domain of the twostep BDF method.