ME 210B Bonus Problem Due March 18, 2009, noon in the homework box Note: (1) This bonus problem can only help, not hurt, your grade. Done correctly, it can add up to 7% to your weighted point score for the class. The curve will be determined based on
ODE - Problem ROBER
II-10-1
10
10.1
Problem ROBER
General information
The problem consists of a sti system of 3 non-linear ordinary dierential equations. It was proposed by H.H. Robertson in 1966 [Rob66]. The name ROBER was given by Hairer & Wann
ODE - Pleiades problem
II-6-1
6
6.1
Pleiades problem
General information
The problem consists of a nonsti system of 14 special second order dierential equations rewritten to rst order form, thus providing a nonsti system of ordinary dierential eq
ODE - Problem OREGO
II-9-1
9
9.1
Problem OREGO
General information
The problem consists of a sti system of 3 non-linear Ordinary Dierential Equations. The name Orego was given by Hairer & Wanner [HW96] and refers to the Oregonator model which is
ODE - Medical Akzo Nobel problem
II-4-1
4
4.1
Medical Akzo Nobel problem
General information
he prolem onsists of P prtil dierentil equtionsF emiEdisretiztion of this system yields sti yhiF he prllelEsElgorithm group of gs ontriuted this prolem
ME 210B Homework # 6 Due March 11, 2009 1. (a) (2 points) Construct a consistent, unstable multistep method of order 2 (other than the one in Example 5.6). (b) (3 points) Is it possible to construct a consistent, unstable one-step method of order 2?
ME 210B Homework # 5 Due February 23, 2009
Test problems for Homework #5: 1. Predator-Prey Problem y1 = .25y1 - .01y1 y2 y2 = -y2 + .01y1 y2 for 0 t 10 with initial values y1 = y2 = 10. Plot y1 vs. t and y2 vs. t, and y1 vs. y2 . 2. Van der Pol's
ME 210B Homework # 4 Due February 18, 2009 1. Consider the Runge-Kutta method defined by
3- 3 6 3+ 3 6
| | |
1 4 3+2 3 12 1 2
3-2 3 12 1 4 1 2
(a) (1 point) Write the formula which corresponds to this RungeKutta matrix (b) (2 points) Using the
MEE 210B Homework # 3 Due February 9, 2009, 9am in class Note: Please turn in the programming problem separately from the theory problems. Reading: (1) A User's View of Solving Stiff Ordinary Differential Equations (on the class website), (2) Wikiped
Homework 2, due Wednesday January 21, 9am in class
Note: Please turn in the programming problem separately from the theory problems. 1. (0.5 point each part) For each of the following constant-coefficient systems y = Ay, determine if the system is s
Homework 1, due Monday January 12, 9am in class or 8:30am in the homework box
Reading: Scholarpedia article on method of lines. Review: If you are not fluent in Matlab, use this week to learn/review Matlab. There are links to several Matlab tutorial
Making Differential Equations on-Deterministic
Dan Gillespie
Dan T Gillespie Consulting GillespieDT@mailaps.org Current Support: Caltech (NIGMS, NIH) University of California at Santa Barbara (NIH) Past Support: Caltech (DARPA/AFOSR, Beckman/BNCM) Un
SIAM REVIEW Voi. 21, No. 1, January 1979
() 1979 Society for Industrial and Applied Mathematics 0036-1445/79/2101-0001 $01.00/0
A USER'S VIEW OF SOLVING STIFF ORDINARY DIFFERENTIAL EQUATIONS* L. F. SHAMPINE AND C. W. GEAR
"
Abstract. This paper a