Mathematical modelling of problems of mathematical physics with periodic boundary conditions

6533b821fe1ef96bd127c6d3

RESEARCH PRODUCT

Mathematical modelling of problems of mathematical physics with periodic boundary conditions

Aigars Gedroics

subject

periodiski robežnosacījumi circulant matrix finite difference galīgo diferenču shēma Matemātika cikliskas matricas galīgo diferenču shēma ar precīzo spektru periodic boundary conditions Mathematics finite difference with exact spectrum Numerical analysis

description

Darbā izstrādāti jauni speciāli algoritmi parasto un parciālo diferenciālvienādojumu problēmu ar periodiskajiem nosacījumiem skaitliskai modelēšanai, kuri balstās uz precīzā spektra izmantošanu telpisko parciālo atvasinājuma aproksimēšanai ar galīgajām diferencēm. Algoritmi tiek veidoti dažādām divdimensiju matemātiskās fizikas problēmām (lineārām un nelineārām), balstoties uz taišņu metodes algoritmiem un precīzā spektra diferenču shēmām. Izveidotie algoritmi tiek realizēti un salīdzināti ar datorprogrammas MATLAB palīdzību. Ar iegūtajiem algoritmiem tiek risinātas vairākas lietišķas problēmas, t.sk 2D magneto-hidrodinamiska plūsma ap periodiski novietotiem cilindriem, 2D plūsma cilindrā ārējā magnētiskā lauka ietekmē un metāla koncentrācija kūdras slāņos.

year	journal	country	edition	language
2014-01-01

https://dspace.lu.lv/dspace/handle/7/4924

PEPhysical Sciences and Engineering
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