Spectral methods for nonlinear functionals and functional differential equations

We present a rigorous convergence analysis for cylindrical approximations of nonlinear functionals, functional derivatives, and functional differential equations (FDEs). The purpose of this analysis is twofold: First, we prove that continuous nonlinear functionals, functional derivatives, and FDEs c...

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Bibliographic Details
Published in:	Research in the mathematical sciences Vol. 8; no. 2
Main Authors:	Venturi, Daniele, Dektor, Alec
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.06.2021 Springer Nature B.V
Subjects:	Applications of Mathematics Approximation Artificial neural networks Banach spaces Boundary value problems Computational Mathematics and Numerical Analysis Continuity (mathematics) Convergence Derivatives Functionals Mathematics Mathematics and Statistics Numerical methods Partial differential equations Spectral methods Tensors 47J05 35R15 46G05 65J15 46N40
ISSN:	2522-0144, 2197-9847
Online Access:	Get full text
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