OpenMP computing of a reference solution for coupled Lorenz system on [0,400]

8 Jul 2021, 16:00
15m
403 or Online - https://jinr.webex.com/jinr/j.php?MTID=mf93df38c8fbed9d0bbaae27765fc1b0f

403 or Online - https://jinr.webex.com/jinr/j.php?MTID=mf93df38c8fbed9d0bbaae27765fc1b0f

https://jinr.webex.com/jinr/j.php?MTID=mf93df38c8fbed9d0bbaae27765fc1b0f
Sectional reports 5. High Performance Computing HPC

Speaker

Dr Ivan Hristov (Sofia University, FMI, Bulgaria)

Description

Obtaining a long term reference trajectory on the chaotic attractor for coupled Lorenz system is a difficult task due to the sensitive dependence on the initial conditions. Using the standard double-precision floating point arithmetic, we cannot obtain a reference solution longer than 2.5 time units. Combining OpenMP parallel technology together with GMP library (GNU multiple precision library), we parallelize Taylor series algorithm for coupled Lorenz system and obtain in 6 days a reference solution in the rather long time interval - [0,400].

Primary authors

Dr Ivan Hristov (Sofia University, FMI, Bulgaria) Dr Radoslava Hristova (Sofia University, FMI) Prof. Stefka Dimova (Sofia University, FMI) Dr Petar Armyanov (Sofia University, FMI) Mr Nikolay Shegunov (Sofia University, FMI) Prof. Igor Puzynin (JINR, Meshcheryakov Laboratory of Information Technologies) Prof. Taisia Puzinina (JINR, Meshcheryakov Laboratory of Information Technologies) Zarif Sharipov (JINR) Mr Zafar Tukhliev (JINR, Meshcheryakov Laboratory of Information Technologies)

Presentation materials