Abstract
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 language | English |
|---|---|
| Title of host publication | Computational Science and Its Applications – ICCSA 2018 - 18th International Conference, 2018, Proceedings |
| Publisher | Springer |
| Pages | 123-135 |
| Number of pages | 13 |
| ISBN (Print) | 9783319951706 |
| DOIs | |
| State | Published - 1 Jan 2018 |
| Event | 18th International Conference on Computational Science and Its Applications, ICCSA 2018 - Melbourne, Australia Duration: 2 Jul 2018 → 5 Jul 2018 |
Publication series
| Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
|---|---|
| Volume | 10963 LNCS |
| ISSN (Print) | 0302-9743 |
| ISSN (Electronic) | 1611-3349 |
Conference
| Conference | 18th International Conference on Computational Science and Its Applications, ICCSA 2018 |
|---|---|
| Country | Australia |
| City | Melbourne |
| Period | 2/07/18 → 5/07/18 |
Keywords
- Kadomtsev-Petviashvili-I equation
- Numerical methods
- Solution
Scopus subject areas
- Theoretical Computer Science
- Computer Science(all)
Cite this
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Influence of external source on KPI equation. / Bogdanov, Alexander V.; Mareev, Vladimir V.; Kulabukhova, Nataliia V.; Degtyarev, Alexander B.; Shchegoleva, Nadezhda L.
Computational Science and Its Applications – ICCSA 2018 - 18th International Conference, 2018, Proceedings. Springer, 2018. p. 123-135 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10963 LNCS).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
TY - GEN
T1 - Influence of external source on KPI equation
AU - Bogdanov, Alexander V.
AU - Mareev, Vladimir V.
AU - Kulabukhova, Nataliia V.
AU - Degtyarev, Alexander B.
AU - Shchegoleva, Nadezhda L.
PY - 2018/1/1
Y1 - 2018/1/1
N2 - 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.
AB - 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.
KW - Kadomtsev-Petviashvili-I equation
KW - Numerical methods
KW - Solution
UR - http://www.scopus.com/inward/record.url?scp=85049997220&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-95171-3_11
DO - 10.1007/978-3-319-95171-3_11
M3 - Conference contribution
SN - 9783319951706
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 123
EP - 135
BT - Computational Science and Its Applications – ICCSA 2018 - 18th International Conference, 2018, Proceedings
PB - Springer
ER -