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vojtamolda
/ !benchmark_swift_c_summation.ipynb
Last active
November 28, 2021 06:50
— forked from joaqo/sumlist.c
Simple Benchmark of Summation in C and Swift
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vojtamolda
/ !Differentiable Shallow Water PDE Solver.md
Last active
January 2, 2023 16:57
Benchmark.ipynb
This repository contains source code of a shallow water partial differential equation (PDE) solver. The solver is written in differentiable Swift which allows end-to-end propagation of derivatives through time. In physics this kind of solution is traditionally called adjoint and it unlocks a new class of algorithms for optimal control of PDEs.
More details about the PDE and how to derive it from general Navier-Stokes equations can found for example on Wikipedia.
The following notebook demonstrates how the differentiability of the solver can be leveraged to solve an otherwise tricky optimal control problem.
Showcase.ipynb [![ColabBadge]][ShowcaseColabLink]