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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Vydáno v:	Foundations of computational mathematics Ročník 25; číslo 2; s. 587 - 630
Hlavní autoři:	Faou, Erwan, Grébert, Benoît
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	New York Springer US 01.04.2025 Springer Nature B.V Springer Verlag
Témata:	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
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