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HWRS 504
Schedule
Lectures
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HWRS 504 – Fall 2025
HWRS 504 on GitHub
Schedule
Week 01
Aug 26
Course Introduction & Review: Linear Algebra, Vector Calculus
Lecture note #01
Aug 28
Introduction to Julia & Interpolation
Lecture note #02
Release
HW #1
Week 02
Sep 2
Interpolation
Lecture note #03
Sep 4
Numerical Integration
Lecture note #04
Due
HW #1
Week 03
Sep 9
FDA in Space
Lecture note #05
Sep 11
FDA in Space (continued)
Lecture note #06
Release
HW #2
Week 04
Sep 16
FDA in Space (continued)
Lecture note #07
Sep 18
FDA for Initial Value Problems
Lecture note #08
Week 05
Sep 23
Stability Analysis
Lecture note #09
Due
HW #2
Sep 25
Stability Analysis (continued)
Lecture note #10
Week 06
Sep 30
Nonlinear Equations
Lecture note #11
Release
HW #3
Oct 2
Nonlinear Equations (continued)
Lecture note #12
Week 07
Oct 7
Fourier Stability Analysis
Lecture note #13
Oct 9
Fourier Stability Analysis (continued)
Lecture note #14
Due
HW #3
Week 08
Oct 14
Fourier Stability Analysis (continued)
Lecture note #15
Oct 16
Particle Methods
Lecture note #16
Release
HW #4
Week 09
Oct 21
Richards Equation
Lecture note #17
Oct 23
Richards Equation (continued)
Lecture note #18
Week 10
Oct 28
Midterm Exam (Oral)
Lecture note #19
Due
HW #4
Oct 30
PINN
Lecture note #20
Week 11
Nov 4
PINN (continued)
Lecture note #21
Nov 6
PINN (continued)
Lecture note #22
Release
HW #5
Week 12
Nov 11
Operator-learning Surrogates
Lecture note #23
Nov 13
Operator-learning Surrogates (continued)
Lecture note #24
Week 13
Nov 18
Operator-learning Surrogates (continued)
Lecture note #25
Due
HW #5
Nov 20
Hybrid Modeling & Differentiable Simulators
Lecture note #26
Week 14
Nov 25
Hybrid Modeling & Differentiable Simulators (continued)
Lecture note #27
Release
HW #6
Nov 27
Thanksgiving Recess (No Class)
Lecture note #28
Week 15
Dec 2
Hybrid Modeling & Differentiable Simulators (continued)
Lecture note #29
Dec 4
Review Session for Final Exam
Lecture note #30
Due
HW #6
Week 16
Dec 9
Final Project Presentation
Lecture note #31
Dec 11
Reading Day (No Class)
Lecture note #32
Week 17
Dec 16
Final Exam (Written)