The analysis of external sources influence on 2D waves evolution is carried out with special attention to the possibility of exponential growing. We have proposed master equation, that is the generalization of Kadomtsev-Petviashvili-I Equation (KPI), that shows major part of the problems in ocean waves evolution and at the same time most difficult from the point of view of numerical algorithm stability. Some indications for choosing of correct numerical procedures are given. This analysis is especially relevant in connection with the emergence of new hybrid computing architectures, the porting of applications on which strongly depends on the chosen algorithm.

Original languageEnglish
Title of host publicationComputational Science and Its Applications – ICCSA 2018 - 18th International Conference, 2018, Proceedings
PublisherSpringer Nature
Pages123-135
Number of pages13
ISBN (Print)9783319951706
DOIs
StatePublished - 1 Jan 2018
Event18th International Conference on Computational Science and Its Applications, ICCSA 2018 - Melbourne, Australia
Duration: 2 Jul 20185 Jul 2018

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10963 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference18th International Conference on Computational Science and Its Applications, ICCSA 2018
Country/TerritoryAustralia
CityMelbourne
Period2/07/185/07/18

    Research areas

  • Kadomtsev-Petviashvili-I equation, Numerical methods, Solution

    Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

ID: 33811301