Study Log
Daily study reports — research reading, methods, and technical notes.
Studied the Lax Equivalence Theorem, Von Neumann stability analysis, and the CFL (Courant–Friedrichs–Lewy) condition. The CFL condition requires that physical information must not travel farther in on…
Read entry →Reviewed the discrete Fourier transform (DFT) and how windowing reduces spectral leakage when analyzing non-periodic signals. --- - The DFT maps a finite time-domain sequence into frequency bins space…
Read entry →When approximating derivatives with finite differences, truncation error shrinks as the step size decreases — but roundoff error grows. Below a certain , floating-point noise wins. Central difference…
Read entry →Two-file workflow
- Write rough notes in
working.draft.md(private — not on the site). - When ready, copy into a new published file:
YYYY-MM-DD-title.md
Use LaTeX with $inline$ and $$block$$ math. Add github: in frontmatter and images with .