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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6610 • Analysis of Numerical Methods I

Fall 2019 • Question 6

Question

Math 6610 • Analysis of Numerical Methods I Fall 2019 • Question 6
**Linear Multistep Methods** Give the definition of linear multistep method (give formula). **a)** State a necessary and sufficient condition for the linear multistep method to be consistent. **b)** State the root condition for the linear multistep method. **c)** Construct an example of a consistent but not stable linear multistep method. Justify your answer.

Raw LaTeX

{Linear Multistep Methods}

Give the definition of linear multistep method (give formula).

\partitem{a} State a necessary and sufficient condition for the linear multistep
method to be consistent.

\partitem{b} State the root condition for the linear multistep method.

\partitem{c} Construct an example of a consistent but not stable linear
multistep method. Justify your answer.

Topic Tags

Consistency, Stability, and Convergence Linear Multistep Methods Linear Programming and Optimization Zero-Stability and Root Conditions