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MATH 270C Numerical Ordinary Differential Equations
TTh 12:30pm-1:50pm, APM 2402.
Instructor
- Prof. Melvin Leok
Office: AP&M 5763
Email: mleok@math.ucsd.edu
Office Hours: T Th 10:00am-10:50am, and by appointment.
Teaching Assistant
- Minxin Zhang
Office: AP&M 6446
Email: miz151@ucsd.edu
Office Hours: M 2pm-4pm, AP&M 6446.
Announcements
- Course
Handout
- The resources below are password protected with the user name ma270c,
and the password is the first 4 digits of:
.
- Homework 1, due April 9,
2019.
- Homework 2, due April 18,
2019.
- Homework 3, due April 25,
2019.
- Homework 4, due May 9,
2019.
- Homework 5, due June 6,
2019.
- The midterm will be on Thursday,
May 2, 2019,
in class.
- The final will be on Monday, 11:30am-2:30pm, location TBA.
Course Description
- This course will focus on the mathematical analysis and derivation of
numerical methods for the solution of ordinary differential equations.
Issues include order of accuracy, convergence, stability. We will discuss
this in the context of numerical methods for initial value problems and
boundary value problems.
Prerequisites
- MATH 270B or consent of instructor. Programming experience in any
language, e.g., C/C++, FORTRAN, MATLAB.
Textbook
Additional Reading
These additional references address advanced topics in the
numerical
analysis of differential equations.
- Numerical
Methods for Ordinary Differential Equations, 2nd
Edition
John Butcher. John-Wiley, 2008. ISBN: 0470723351
[ Electronic Version ]
- Solving
Ordinary Differential Equations I: Nonstiff
Problems, 2nd Revised Edition
Hairer, Norsett, Wanner. Springer-Verlag 2010. ISBN:
3642051634
[ Electronic Version ]
- Solving
Ordinary Differential Equations II: Stiff and
Differential-Algebraic Equations, 2nd Revised
Edition
Hairer, Wanner. Springer-Verlag 2010. ISBN: 9783642052200
[ Electronic Version ]
- Geometric
Numerical Integration, 2nd Edition, Springer Series in
Computational
Mathematics
Hairer, Lubich, Wanner. Springer-Verlag,
2006. ISBN:
3540306633
[ Electronic Version ]
- Simulating
Hamiltonian Dynamics, Cambridge Monographs on Applied
and
Computational Mathematics
Leimkuhler, Reich, Cambridge University Press, 2005. ISBN:
0521772907
[ Electronic Version ]
Grading
- Your grade in the course is based on homework (25%), a midterm exam
(25%), and a final exam (50%).