MATH 270C: NUMERICAL ORDINARY DIFFERENTIAL EQUATIONS

Instructor: Randolph E. Bank

Spring Quarter 2018

Syllabus

Lecture Topics Remarks
Week 1
Mon. 2/2 The Cauchy
Problem (11.1) 		 
Wed. 4/4 Euler's Method
(11.2)-(11.3) 		 
Fri. 4/6 Euler's Method
(11.2)-(11.3) 		 
Week 2
Mon. 4/9 Stability for IVPs
(11.3), (11.10) 		 
Wed. 4/11 Stability for IVPs
(11.3), (11.10) 		 
Fri. 4/13 Runge-Kutta Methods
(11.8) 		 
Week 3
Mon. 4/16 Runge-Kutta Methods
(11.8) 		 
Wed. 4/18 Multi-Step Methods
(11.4)-(11.7) 		 
Fri. 4/20 Multi-Step Methods
(11.4)-(11.7) 		 
Week 4
Mon. 4/23 Multi-Step Methods
(11.4)-(11.7) 		 
Wed. 4/25 Adaptive Time Steps  
Fri. 4/27 Adaptive Time Steps  
Week 5
Mon. 4/30 2 Point BVP
(12.1) 		 
Wed. 5/2 Variational Formulation
(12.4) 		 
Fri. 5/4 Finite Differences
(12.2) 		 
Week 6
Mon. 5/7 Finite Differences
(12.2) 		 
Wed. 5/9 Finite Differences
in Two Dimensions 		 
Fri. 5/11 Finite Elements
(12.4) 		 
Week 7
Mon. 5/14 Finite Elements
(12.4) 		 
Wed. 5/16 Finite Elements in
Two Dimensions (12.6) 		 
Fri. 5/18 Finite Elements in
Two Dimensions (12.6) 		 
Week 8
Mon. 5/21   no class
Wed. 5/23   N. A. Qualifying Exam
1:00-4:00pm
AP&M 6402
Fri. 5/25   no class
Week 9
Mon. 5/28   Memorial Day Holiday
Wed. 5/30 Finite Volume
Methods 		 
Fri. 6/1 Finite Volume
Methods 		 
Week 10
Mon. 6/4 Finite Volume
Methods in Two Dimensions		  
Wed. 6/6 Convection-Diffusion
Equations (12.5) 		 
Fri. 6/8 Convection-Diffusion
Equations (12.5) 		 

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