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Essays and notes on scientific computing, physical simulations, and mathematical abstractions.

The Schwinger Model

An introduction to the 1+1D Schwinger model, staggered fermions, lattice gauge fields, Gauss’s law, and Hamiltonian dynamics.

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What are derivatives?

An exploration of higher derivatives through local polynomial approximations, Taylor expansion, and geometric intuition.

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Tempest

A retrospective on building Tempest, a computational physics sandbox for PDE solvers, numerical validation, and scientific machine learning.

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© 2026 Harliv Singh