Large Time Behavior of Finite Difference Schemes for the Transport Equation

被引：0

作者：

Coeuret, Lucas ^{[1
]}

机构：

[1] Univ Toulouse, Inst Math Toulouse, UMR5219, CNRS,UPS, 118 Route Narbonne, F-31062 Toulouse 9, France

来源：

HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, VOL II, HYP2022 | 2024年 / 35卷

关键词：

Discrete convolution; Local limit theorem; Finite difference approximation; Stability; CONVOLUTION POWERS; COMPLEX FUNCTIONS; STABILITY;

D O I：

10.1007/978-3-031-55264-9_6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In order to study the large time behavior of finite difference schemes for the transport equation, we need to describe the pointwise asymptotic behavior of iterated convolutions for finitely supported sequences indexed on Z. In this paper, we investigate this question by presenting the main result of [2] which is a generalization of the so-called local limit theorem in probability theory to complex valued sequences.

引用

页码：63 / 71

页数：9

共 15 条

[1] Closed Form Solution and Equivalent Equation Approximation of Linear Advection by a Non Dissipative Second Order Scheme for Step Initial Conditions [J].