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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6610 • Analysis of Numerical Methods I

Fall 2014 • Question 7

Question

Math 6610 • Analysis of Numerical Methods I Fall 2014 • Question 7

Define what is meant by a linear multistep method and its region of absolute stability. Show that a convergent explicit linear multistep method cannot have an infinite region of absolute stability.

Raw LaTeX

Define what is meant by a linear multistep method and its region of
absolute stability. Show that a convergent explicit linear multistep method
cannot have an infinite region of absolute stability.

Topic Tags

Absolute Stability and A-Stability Consistency, Stability, and Convergence Linear Multistep Methods Von Neumann Stability Analysis