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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6610 • Analysis of Numerical Methods I

1996 • Question 9

Question

Math 6610 • Analysis of Numerical Methods I 1996 • Question 9

Discretization and Convergence. What is a discretization? What does it mean for a discretization to be convergent? Give a precise definition for a differential equation problem and a discretization of your choice.

Raw LaTeX

\textbf{Discretization and Convergence.} What is a discretization? What does it
mean for a discretization to be convergent? Give a precise definition for a
differential equation problem and a discretization of your choice.

Topic Tags

Consistency, Stability, and Convergence Forward Euler and First-Order Convergence Linear Programming and Optimization