Discrete Pseudo-differential Operators and Applications to Numerical Schemes

We consider a class of discrete operators introduced by O. Chodosh, acting on infinite sequences and mimicking standard properties of pseudo-differential operators. By using a new approach, we extend this class to finite or periodic sequences, allowing a general representation of discrete pseudo-dif...

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Bibliographic Details
Published in:	Foundations of computational mathematics Vol. 25; no. 2; pp. 587 - 630
Main Authors:	Faou, Erwan, Grébert, Benoît
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.04.2025 Springer Nature B.V Springer Verlag
Subjects:	Applications of Mathematics Canonical forms Commutators Computer Science Differential calculus Differential equations Discretization Economics Estimates Linear and Multilinear Algebras Math Applications in Computer Science Mathematics Mathematics and Statistics Matrix Theory Numerical Analysis Operators (mathematics) Regularity Standard error Splitting methods 65T50 Pseudo-differential operators 65M06 Numerical methods for discrete and fast Fourier transforms 35S05 Finite difference methods
ISSN:	1615-3375, 1615-3383
Online Access:	Get full text
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