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Mathematical & Computational Physics

Parallel Computing

A computational architecture where large physical calculations are divided into smaller sub-tasks executed simultaneously across multiple processor cores or GPUs.

Governing formula Amdahl's Law Speedup S(P) = 1 / ((1 - p) + p / P)
SI unit Speedup Factor S(P)

In depth

Utilizes Message Passing Interface (MPI) and CUDA GPU acceleration to solve massive 3D grid simulations. Amdahl's law specifies maximum speedup bounds based on non-parallelizable sequential fraction (1-p).

Examples in the real world

Running 3D cosmological hydrodynamics simulations on supercomputers using thousands of parallel CPU/GPU cores.