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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6610 • Analysis of Numerical Methods I

Fall 2010 • Question 5

Question

Math 6610 • Analysis of Numerical Methods I Fall 2010 • Question 5

Explicit Methods Define what we mean by Linear Multistep Method and what we mean by its region of absolute stability. Show that a convergent explicit linear multistep method cannot have an unbounded region of absolute stability.

Raw LaTeX

{Explicit Methods} Define what we mean by Linear Multistep Method and
what we mean by its region of absolute stability. Show that a convergent
explicit linear multistep method cannot have an unbounded region of absolute
stability.

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Topic Tags

Absolute Stability and A-Stability Consistency, Stability, and Convergence Linear Multistep Methods Linear Programming and Optimization