Operator splitting for nonautonomous delay equations

被引：9

作者：

Batkai, Andras ^{[1
]}

Csomos, Petra ^{[2
]}

Farkas, Balint ^{[1
]}

机构：

[1] Eotvos Lorand Univ, Inst Math, H-1117 Budapest, Hungary

[2] Leopold Franzens Univ Innsbruck, Inst Math, A-6020 Innsbruck, Austria

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2013年 / 65卷 / 03期

关键词：

Operator splitting; Delay equation;

D O I：

10.1016/j.camwa.2012.05.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide a general product formula for the solution of nonautonomous abstract delay equations. After having shown the convergence we obtain estimates on the order of convergence for differentiable history functions. Finally, the theoretical results are demonstrated by some typical numerical examples. (c) 2012 Elsevier Ltd. All rights reserved.

引用

页码：315 / 324

页数：10

共 50 条

[31] An operator splitting scheme for the stream-function formulation of unsteady Navier-Stokes equations
Christov, C. I.
Tang, X. -H.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2007, 53 (03) : 417 - 442
[32] Convergence analysis of operator splitting methods for Maxwell’s equations in dispersive media of Debye type
Puttha Sakkaplangkul
Journal of Applied Mathematics and Computing, 2023, 69 : 4587 - 4616
[33] OPERATOR SPLITTING FOR THE KdV EQUATION
Holden, Helge
Karlsen, Kenneth H.
Risebro, Nils Henrik
Tao, Terence
MATHEMATICS OF COMPUTATION, 2011, 80 (274) : 821 - 846
[34] Convergence analysis of operator splitting methods for Maxwell's equations in dispersive media of Debye type
Sakkaplangkul, Puttha
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2023, 69 (06) : 4617 - 4643
[35] Stabilized finite element discretization applied to an operator-splitting method of population balance equations
Ahmed, Naveed
Matthies, Gunar
Tobiska, Lutz
APPLIED NUMERICAL MATHEMATICS, 2013, 70 : 58 - 79
[36] Operator splitting methods for systems of convection-diffusion equations: Nonlinear error mechanisms and correction strategies
Karlsen, KH
Lie, KA
Natvig, JR
Nordhaug, HF
Dahle, HK
JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 173 (02) : 636 - 663
[37] Operator splittings and spatial approximations for evolution equations
András Bátkai
Petra Csomós
Gregor Nickel
Journal of Evolution Equations, 2009, 9 : 613 - 636
[38] Operator splittings and spatial approximations for evolution equations
Batkai, Andras
Csomos, Petra
Nickel, Gregor
JOURNAL OF EVOLUTION EQUATIONS, 2009, 9 (03) : 613 - 636
[39] A family of operator splitting methods revisited
Dong, Yunda
Fischer, Andreas
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (11) : 4307 - 4315
[40] Operator splitting for the bidomain model revisited
Spiteri, Raymond J.
Ziaratgahi, Saeed Torabi
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2016, 296 : 550 - 563

← 1 2 3 4 5 →