MATH 5620 NUMERICAL ANALYSIS II
OPTIONAL HOMEWORK 6, DUE WED APRIL 21 2010
The goal of this assignment is to use the nite element method with triangular piecewise linear (P1) nite
elements to solve the 2D BVP
u = f (x, y )
(1)
u=0
in
on
Here the domain
MATH 5620 NUMERICAL ANALYSIS II MIDTERM REVIEW SHEET
Chapter 5 Initial Value Problems 5.1 Lipschitz condition, well-posedness, existence and uniqueness theorem for rst order IVP. 5.2-5.3: Taylor series method, know how to derive them. Notion of order, loc
MATH 5620/6865 NUMERICAL ANALYSIS II
PRACTICE FINAL EXAM (SPRING 2010)
Problem 1. Consider the multistep method:
yn 2yn1 + yn2 = h(fn fn1 ).
(a) Is this method implicit or explicit?
(b) Is this method convergent, stable and/or consistent? Justify your ans
MATH 5620 NUMERICAL ANALYSIS II
MIDTERM REVIEW SHEET
1. Chapter 5 Initial Value Problems
5.1 Lipschitz condition, well-posedness, existence and uniqueness
theorem for rst order IVP.
5.2-5.3: Taylor series method, know how to derive them. Notion of
order