Category:Nonlinear PDE's Course: Difference between revisions

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# [[Reaction-Diffusion Systems]]
# [[Reaction-Diffusion Systems]]
# [[Burgers Equation]]
# [[Burgers Equation]]


{| class="wikitable"
{| class="wikitable"
! Week !! Date !! Column 3 !! Column 4 !! Column 5
|+ 2026 course
! Week !! Date !! Topic !! Assessment
|-
|-
| Week 1 || 2/3/26 || || ||
| Week 1 || 2/3/26 || [[Method of Characteristics for Linear Equations]] ||  
|-
|-
| Week 2 || 2/10/26 || || ||
| Week 2 || 2/10/26 || [[Traffic Waves]] ||  
|-
|-
| Week 3 || 2/17/26 || || ||
| Week 3 || 2/17/26 || [[Nonlinear Shallow Water Waves]] ||  
|-
|-
| Week 4 || 2/24/26 || || ||
| Week 4 || 2/24/26 || [[Introduction to KdV]] ||  
|-
|-
| Week 5 || 3/3/26 || || ||
| Week 5 || 3/3/26 || [[Numerical Solution of the KdV]] || Assignment 1
|-
|-
| Week 6 || 3/10/26 || || ||
| Week 6 || 3/10/26 || [[Conservation Laws for the KdV]] ||  
|-
|-
| Week 7 || 3/17/26 || || ||
| Week 7 || 3/17/26 || [[Introduction to the Inverse Scattering Transform]] ||  
|-
|-
| Week 8 || 3/24/26 || || ||
| Week 8 || 3/24/26 || [[Properties of the Linear Schrodinger Equation]] ||  
|-
|-
| Week 9 || 3/31/26 || || ||
| Week 9 || 3/31/26 || [[Connection betwen KdV and the Schrodinger Equation]] ||  
|-
|-
| Week 10 || 4/7/26 || || ||
| Week 10 || 4/7/26 || [[Example Calculations for the KdV and IST]] ||  
|-
|-
| Week 11 || 4/14/26 || || ||
| Week 11 || 4/14/26 || [[Reaction-Diffusion Systems]] ||  
|-
|-
| Week 12 || 4/21/26 || || ||
| Week 12 || 4/21/26 || [[Burgers Equation]] || Assignment 2
|-
| Week 13 || 4/28/26 ||  ||
|-
| Week 14 || 5/5/26 ||  || Assignment 3
|-
| Week 15 || 5/12/26 ||  ||
|-
| Week 16 || 5/19/26 ||  || Final Exam
|}
|}

Revision as of 06:01, 2 March 2026

These pages contain notes for the course in Nonlinear PDE's taught by Mike Meylan

  1. Method of Characteristics for Linear Equations
  2. Traffic Waves
  3. Nonlinear Shallow Water Waves
  4. Introduction to KdV
  5. Numerical Solution of the KdV
  6. Conservation Laws for the KdV
  7. Introduction to the Inverse Scattering Transform
  8. Properties of the Linear Schrodinger Equation
  9. Connection betwen KdV and the Schrodinger Equation
  10. Example Calculations for the KdV and IST
  11. Reaction-Diffusion Systems
  12. Burgers Equation
2026 course
Week Date Topic Assessment
Week 1 2/3/26 Method of Characteristics for Linear Equations
Week 2 2/10/26 Traffic Waves
Week 3 2/17/26 Nonlinear Shallow Water Waves
Week 4 2/24/26 Introduction to KdV
Week 5 3/3/26 Numerical Solution of the KdV Assignment 1
Week 6 3/10/26 Conservation Laws for the KdV
Week 7 3/17/26 Introduction to the Inverse Scattering Transform
Week 8 3/24/26 Properties of the Linear Schrodinger Equation
Week 9 3/31/26 Connection betwen KdV and the Schrodinger Equation
Week 10 4/7/26 Example Calculations for the KdV and IST
Week 11 4/14/26 Reaction-Diffusion Systems
Week 12 4/21/26 Burgers Equation Assignment 2
Week 13 4/28/26
Week 14 5/5/26 Assignment 3
Week 15 5/12/26
Week 16 5/19/26 Final Exam
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