applied7 min
Spectral Methods for Solving Partial Differential Equations
When Fourier meets computation
Spectral methods transform PDEs into algebraic systems using global basis functions. We survey how Fourier and...
Akhilesh Yadav
Category
Applied Math
Where abstract mathematics meets the physical world
3 articles
applied9 min
Monte Carlo Methods in Quantitative Finance
Random walks on Wall Street — literally
Monte Carlo simulation is the backbone of derivatives pricing. We explore the mathematics of random sampling, variance...
Akhilesh Yadav
applied9 min
Elliptic Curve Cryptography: The Mathematics Protecting the Internet
Why your online banking depends on abstract algebra
Elliptic curve cryptography provides the strongest security per bit of any known public-key system. We explore the...
Akhilesh Yadav