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From structured data to evolution linear partial differential equations

delete2019-09-01
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Emmanuel Lorin *
DOI:10.1016/j.jcp.2019.04.049delete
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摘要

摘要

En 中文
This paper is devoted to the derivation of computational methods for constructing partial differential equations from data. Following some recent works [7,14,15,20], we propose a methodology based on symbolic calculus [8,9,13], pseudospectral methods [2,3] and stochastic processes [6], in order to determine non-constant coefficients of linear evolution Partial Differential Equations (PDEs), from a set of structured data constituted by solutions at given times and positions, of an unknown linear PDE. Crown Copyright (C) 2019 Published by Elsevier Inc. All rights reserved.
Keyword:
Partial differential equations
Numerical approximation
Operator symbols
Pseudospectral methods
Inverse problems
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期刊

Journal of Computational Physics 封面图
Journal of Computational Physics
IF:
3.8
论文数:
1.6W
被引数:
7.4W

机构

C
carleton university
学者数:
7.5K
论文数: 8.3K
被引数: 5
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