Course Description: Numerical solution of initial-value problems for ordinary differential equations. Topics include concepts of stability, convergence, multi-stage methods, multi-step methods and stiff systems. Advanced topics like boundary value problems, differential-algebraic systems, delay differential equations, implicit-explicit methods etc. will be covered based on time and student interest.
Grading:
30% Homeworks
40% In-class activities
30% Project
Jupyter Notebooks:
Notebook using python solver and Euler method to solve a system of ODEs
Notebook demonstrating stability properties of Euler and backward Euler methods
Notebook demonstrating Stiff problems and Trapezoid Method
Reading assignments and worksheets:
All worksheets are due one week after the reading day.
Thursday April 2: worksheet 15. AHS Chapter 9 upto 9.2
Tuesday April 7: worksheet 16. AHS: 9.4 and 9.3
Thursday April 9: worksheet 17. AHS Chapter 10 upto and including 10.3
Tuesday April 14: worksheet 18. AHS Chapter 10: pages 173 - 179
Thursday April 16: worksheet 19. AHS Chapter 10: pages 179 - 185