The list of courses to be studied this summer:
- Continuum mechanics
- Numerical methods for partial differential equations
- Non-linear dynamics
- Non-equilibrium statistical mechanics
The list of unreviewed derivations:
- …
Explanation about graph Laplacian matrix, which is very clear and understandable: The graph Laplacian – Matthew N. Bernstein Good to know!
A simple introduction to Point Spread Function (PSF): https://www.overleaf.com/read/qjzmskpmgjrf#d4c67a
A more rigorous proof about diffraction by Kirchhoff: https://www.overleaf.com/read/pfvkpqrmsvhv#ca59e4
A very good introductory book about electromagnetisms:
Derivation of the Womersley model: https://www.overleaf.com/read/ryphbvhbksws#b7c978
My internship on hemodynamic model at ESPCI: https://www.overleaf.com/read/gptdcjwpzfbm#a8e7fd
NS equations in cylindrical coordinates: Navier-Stokes equations in cylindrical coordinates
A Comparison of Cross-Correlation and Convolution: https://www.overleaf.com/read/bybfjmnkbhzx#7b065c
Fourier theory family just makes my mind explode… So here is the note about it (still very very messy to be honest): https://www.overleaf.com/read/rfffvpggjjcn#7185e4
Complex phase portraits: Domain coloring. Try to spend some time on these fantastic complex functions~
Notes on the Beseel functions: ①https://www.overleaf.com/read/jjfnvgjstrvz#fabae4 ②https://www.overleaf.com/read/dffpmvxbmhmg#2d7067
A website to draw the function: Desmos | Graphing Calculator
The definition of Gamma function: Gamma function – Wikipedia
Introduction of Abel integral equations: 19 Abel Integral Equations.pdf
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