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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6610 • Analysis of Numerical Methods I

Fall 1999 • Question 5

Question

Math 6610 • Analysis of Numerical Methods I Fall 1999 • Question 5

Numerical ODEs Define the terms linear multistep method (LMM), order, consistency, zero-stability, local truncation error, and region of absolute stability of an LMM. Derive the highest order implicit 2 step method and discuss its region of absolute stability.

Raw LaTeX

{Numerical ODEs}
Define the terms linear multistep method (LMM), order, consistency,
zero-stability, local truncation error, and region of absolute stability of an LMM.
Derive the highest order implicit 2 step method and discuss its region of absolute
stability.

Topic Tags

Absolute Stability and A-Stability Consistency, Stability, and Convergence Linear Multistep Methods Local Truncation Error and Global Error