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Despite their ubiquity throughout science and engineering, only a handful of partial differential equations (PDEs) have analytical, or closed-form solutions.
An Algorithm for the Machine Calculation of Complex Fourier Series
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On the Construction and Comparison of Difference Schemes
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On the Elimination of Aliasing in Finite-Difference Schemes by Filtering High-Wavenumber Components
Steven A. Orszag · 1971
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Numerical Analysis of Spectral Methods
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Ten questions concerning the large-eddy simulation of turbulent flows
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Dedalus: A flexible framework for numerical simulations with spectral methods
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Multipole Graph Neural Operator for Parametric Partial Differential Equations
Zongyi Li, Nikola Kovachki, Kamyar Azizzadenesheli, Burigede Liu, Kaushik Bhattacharya, Andrew Stuart, and Anima Anandkumar · 2020
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