EXPONENTIAL RUNGE-KUTTA METHODS FOR DELAY EQUATIONS IN THE SUN-STAR ABSTRACT FRAMEWORK

被引：1

作者：

Ando, Alessia ^{[1
]}

Vermiglio, Rossana ^{[1
]}

机构：

[1] Univ Udine, Dept Math Comp Sci & Phys, CDLab Computat Dynam Lab, Udine, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2024年

关键词：

Exponential methods; sun-star theory; abstract integral equations; delay differential equations; renewal equations; NATURAL CONTINUOUS EXTENSIONS; STABILITY ANALYSIS; NUMERICAL-SOLUTION; SEMIGROUPS;

D O I：

10.3934/dcdsb.2024139

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Exponential Runge-Kutta methods for semi-linear ordinary differential equations can be extended to abstract differential equations, defined on Banach spaces. Thanks to the sun-star theory, both delay differential equations and renewal equations can be recast as abstract differential equations, which motivated the present work. The result was a general approach that allowed us to define the methods explicitly and analyze their convergence properties in a unifying way.

引用

页数：17

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