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| Format: | Artículo científico |
| Language: | es |
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Instituto Tecnológico de Costa Rica
2020
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| Online Access: | https://www.redalyc.org/articulo.oa?id=699878645012 |
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Table of Contents:
- Reducing the two dimensional Green functions: Fourier mode decomposition Juan Pablo Mallarino-Robayo Alejandro Ferrero-Botero Ingeniería Often we encounter high dimensional differential equations. A clever representation of a generalized solution could be procured in certain cases using Green functions. We show how this representation could be achieved and via a clever Fourier mode decomposition for the particular disc case resulting in a highly correlated set of functions that transforming into a discrete representation – via a classical second order finite difference approximation – can be ultimately represented as a linear equation for matrices embedding all boundary conditions in the structure of such objects. The resulting problem could be solved using stochastic gradient descent with an additional on-the-fly optimization reducing required computation resources substantially. 2020 artículo científico 2215-3241 https://www.redalyc.org/articulo.oa?id=699878645012 es http://www.redalyc.org/revista.oa?id=6998 Tecnología en marcha application/pdf Instituto Tecnológico de Costa Rica Tecnología en marcha (Costa Rica) Num.CARLA Vol.33