MATH 175/275: NUMERICAL METHODS FOR PDE

Instructor: Randolph E. Bank

Winter Quarter 2020

Syllabus

Lecture Topics Remarks
Week 1
Mon. 1/6 Introduction
(Chapter 1)
 
Wed. 1/8 Two-Point BVP
(Chapter 2)
 
Fri. 1/10 Two-Point BVP
(Chapter 2)
 
Week 2
Mon. 1/13 Elliptic Equations
(Chapter 3)
 
Wed. 1/15 Elliptic Equations
(Chapter 3)
 
Fri. 1/17 Finite Difference Methods
for Elliptic Equations
(Chapter 4)
 
Week 3
Mon. 1/20   Martin Luther King Holiday
Wed. 1/22 Finite Difference Methods
for Elliptic Equations
(Chapter 4)
 
Fri. 1/24 Finite Element Methods
for Elliptic Equations
(Chapter 5)
 
Week 4
Mon. 1/27 Finite Element Methods
for Elliptic Equations
(Chapter 5)
 
Wed. 1/29 Finite Element Methods
for Elliptic Equations
(Chapter 5)
 
Thurs. 1/30 PLTMG Demo optional
Fri. 1/31 Finite Element Methods
for Elliptic Equations
(Chapter 5)
 
Week 5
Mon. 2/3 IVPs for ODEs
(Chapter 7)
 
Wed. 2/5 IVPs for ODEs
(Chapter 7)
 
Fri. 2/7 Parabolic Equations
(Chapter 8)
Project Proposals
Week 6
Mon. 2/10 Parabolic Equations
(Chapter 8)
 
Wed. 2/12 Finite Difference Methods
for Parabolic Problems
(Chapter 9)
 
Fri. 2/14 Finite Difference Methods
for Parabolic Problems
(Chapter 9)
 
Week 7
Mon. 2/17   Presidents' Day Holiday
Wed. 2/19 The Finite Element Method
for a Parabolic Problem
(Chapter 10)
 
Fri. 2/21 The Finite Element Method
for a Parabolic Problem
(Chapter 10)
 
Week 8
Mon. 2/24 Hyperbolic Equations
(Chapter 11)
 
Wed. 2/26 Hyperbolic Equations
(Chapter 11)
 
Fri. 2/28 Finite Difference Methods
for Hyperbolic Equations
(Chapter 12)
Project Signups
Week 9
Mon. 3/2 Finite Difference Methods
for Hyperbolic Equations
(Chapter 12)
 
Wed. 3/4 Finite Element Methods
for Hyperbolic Equations
(Chapter 13)
 
Fri. 3/6 Finite Element Methods
for Hyperbolic Equations
(Chapter 13)
 
Thurs. 3/5 Project Presentations Robert Lee
Cuncheng Zhu
Parikshit Jain
Fri. 3/6 Project Presentations Mayank Gupta
Aditya Chempakasseril
Week 10
Mon. 3/9 Project Presentations Shuo Xu
Kong Siyu
Wed. 3/11 Project Presentations Soumyaraj Bose
Sanyri Sanchez
Thurs. 3/12 Project Presentations Terry Le
Weixiang Liao
Fri. 3/13 Project Presentations Qimin Chen
Yufan Chen
Finals Week
Mon. 3/16 Final Exam, 3:00-6:00  

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