RAS MathematicsЖурнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics

  • ISSN (Print) 0044-4669
  • ISSN (Online) 3034-533

A FAST NUMERICAL METHOD FOR THE SOURCE RECONSTRUCTION IN THE COAGULATION-FRAGMENTATION EQUATION

PII
S3034533S0044466925070033-1
DOI
10.7868/S303453325070033
Publication type
Article
Status
Published
Authors
Volume/ Edition
Volume 65 / Issue number 7
Pages
1091-1109
Abstract
A fast numerical method is proposed for the problem of restoring the source function in the Smoluchowski coagulation-fragmentation equation. The proposed method is based on the earlier work with a more detailed description of the transition from the coagulation-fragmentation equation to the final system of variational equations and the iterative process. Exploitation of the low-rank matrices has been introduced into this process to reduce the computational complexity of each iteration. The proposed methodology allows speeding up the calculations by thousands of times without losing the accuracy of the original approach.
Keywords
уравнение Смолуховского обратная задача численные методы
Date of publication
23.04.2025
Year of publication
2025
Number of purchasers
0
Views
20

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