
Barbara ZubikKowal's
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 Euler's method and beyond.
 Multistep methods.
 RungeKutta methods.
 Stiff equations.
 Geometric numerical integration.
 Error control.
 Nonlinear algebraic systems.
 Finite difference schemes.
 The finite element method.
 Spectral methods.
 Gaussian elimination for sparse linear equations.
 Classical iterative methods for sparse linear equations.
 Multigrid techniques.
 Conjugate gradients.
 Fast Poisson solvers.
 The diffusion equation.
 Hyperbolic equations.
 Programming assignments.
MATH 566  Numerical Analysis II
Spring 2011
TuTh 9:1510:30am, MG 124
Final Exam: Thursday, May 12, 8:0010:00am.
Instructor: Barbara ZubikKowal
Office: MG 241 B, Phone: 4262802
Office Hours: Monday, Wednesday, Friday, 11:40am12:30pm
Textbook: "A First Course in the Numerical Analysis of Differential Equations", Arieh Iserles, Cambridge University Press 2009.
Syllabus
No make up possible: Inclass work, Tests, Lab assignments, Homework, Final Exam  
Inclass work: these problems will be solved in class. This work will be based on the instructor's help during classes. Students will follow instructions, which lead to the solutions of these problems.  Inclass work will be collected at the end of each class meeting and will be graded. 
Homework problems solved by using the strategies learned from the inclass work.  Deadlines of homework assignments are listed here. 
Test 1: Thursday, 02/17/2011
Test 2: Thursday, 03/17/2011 Test 3: Thursday, 04/21/2011 
It will have both a takehome project and inclass components. Test problems will be based on the problems from inclass work and homework. 
Final Exam: May 12, 2011, 8:0010:00 am  Takehome project due on the time of the final. 
Grading Policy  
Inclass work  25 % 
Homework  25 % 
Tests, Lab assignments  25 % 
Final Exam  25 % 
Total  100 % 
A+: 97% and above; A: 93%97%; A: 90%93%; B+: 87%90%; B: 83%87%; B: 80%83%; C+: 77%80%; C: 73%77%; C: 70%73%; D+: 67%70%; D: 63%67%; D: 60%63%; F: below 60%. 