期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 393, 期 -, 页码 162-185出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2019.04.049
关键词
Partial differential equations; Numerical approximation; Operator symbols; Pseudospectral methods; Inverse problems
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.
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