DE2 SE COURSE:    Numerical Methods
UNITS	2 ECTS
TYPE	SE
LECTURER	Zhenyu Yang
TIME	Spring Semester 2010
LOCATION	B201

TEXTBOOK

Peter R. Turner, "Guide to Sceintific Computing" (Second Edition), Macmillan Press LTD, 2000.

TENTATIVE SCHEDULES     

 

Date	Lecture Topics	Reading	Exercises
09.04.2010, Friday kl.8:15	1.Introduction to numerical methods and Matlab Introduction Number representation and errors Start of Matlab	Chapt 1: 1.1, 1.2, 1.3, 1.4, 1.5 Appendix A: 1-4 lecture slides	no specific exercise start to be familiar with Matlab some Matlab introductional tutorials, e.g.,  Ohio-stateU, DundeeU
13.04.2010, Tuesday kl.8:15	2.  Approximate evaluation of functions Series expansions   Talor expansion	Chapt 3, 3.1, 3.2 Appendix A: 5-11 lecture slides Matlab examples: decimal.m,  programexample.m	see here
16.04.2010, Friday kl.8:15	3. Iterative solutions of equations Bisection method Function iteration convergence and errors	Chapt 2: 2.1, 2.2, 2.3 Appendix A: 12-14 lecture slides Matlab examples: ployevalexample.m, erfapp.m, sinfunc.m	see here some exercise solutions: exercise2_2.m, exercise2_3.m
20.04.2010, Tuesday kl.8:15	4.   Newton's iteration method  Iteration formula Convergence Theorem	Chapt 2: 2.4 Appendix A: 15-17 lecture slides Matlab examples: bisect.m, eq1.m, example2_5.m	see here solutions: Exercise 1 (main file: solutionex41.m, user-defined functions: exercise41.m, exfunc1.m, exfunc2.m, bisectsolution41.m) Exercise 2 (main file: solutionex42.m, user-defined functions: exercise42.m, exfunc3.m, exfunc4.m, exfunc5.m)
23.04.2010, Friday kl.8:15	5.   Secant iteration method Secant method 2 equations in 2 unknowns	Chapt 2: 2.5, 2.6, 2.7 lecture slides Matlab examples: newton.m, example51.m, dexample51.m, bisect5.m, funciteration5.m	see here solutions: Exercise 1 (mainfile: main51.m, user-defined functions: newton.m, bisect5.m, exercise41.m, dexercise41.m) Exercise 2 (main file: main52.m, user-defined functions: exercise42.m, dexercise42.m)
27.04.2010,  Tuesday kl.8:15	6. Lagrange interpolation method Interpolation concept Lagrange method	Chapt 4: 4.1, 4.2 lecture slides Matlab examples: secant.m, example10.m, newton2.m, eq2.m, Deq2.m	see here
04.05.2010, Tuesday, kl.8:15	7. Spline interpolation methods Spline concept Matlab interpolation functions	Chapt 4: 4.4, 4.5 lecture slides Matlab examples: horner.m, horner2.m, lagrange.m, befolkning.m	see here
07.05.2010, Friday, kl.8.15	8. Solutions to differential equations Introduction Euler's method	Chapt 6: 6.1 lecture slides Matlab examples: linearspline.m, cspline.m, runge.m, example4_15.m, example4_16.m	see here
11.05.2010, Tuesday, kl.8.15	9. Runge-Kutta methods and multistep methods Runge-Kutta methods MUltistep methods	Chapt 6: 6.2, 6.3 lecture slides Matlab examples: euler1.m, example61.m, coreuler.m, RK4.m	see here
	10. Systems of differential equations	Chapt 6: 6.4, 6.7	previous exam paper