iteration theory
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2021 ◽  
Vol 2068 (1) ◽  
pp. 012006
Author(s):  
Jing Xu ◽  
Xiaoli Jiang

Abstract This paper focuses on the numerical algorithm of a class of semilinear hyperbolic equation. The dissipation term and external force source term existing in the equation enhance the nonlinearity of the model and make the nonlinear effect complicated. However, this nonlinear effect has a great influence on the discrete scheme, which cannot be neglected. Discretizing the nonlinear terms to ensure the validity of the scheme is the core issue in this paper. An effective scheme based on linearization techniques and iteration theory is proposed. It is based on the finite difference method. The efficiency of the proposed schemes was verified via some numerical examples showing that they compare well with existing methods.


Author(s):  
Detlef Gronau

AbstractDespite the fact that Eri Jabotinsky (1910–1969) published only few (i.e. fourteen) mathematical papers, some of them had a remarkable influence in iteration theory. But also his life was remakable. Eri was the son of the famous Zionist Revisionist leader Vladimir Ze’ev Jabotinsky. Eri Jabotinsky was active in the Zionist movement and later as parlamentarian in the Knesset. Here we give an outline of his live and a complete list of his publications.


2015 ◽  
Vol 22 (7) ◽  
pp. 851-852
Author(s):  
Witold Jarczyk ◽  
Francisco Balibrea ◽  
Laura Gardini

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