Search results for "finite difference with exact spectrum"

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Mathematical modelling of problems of mathematical physics with periodic boundary conditions

2014

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 ā…

periodiski robežnosacījumicirculant matrixfinite differencegalīgo diferenču shēmaMatemātikacikliskas matricasgalīgo diferenču shēma ar precīzo spektruperiodic boundary conditionsMathematicsfinite difference with exact spectrumNumerical analysis

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PEPhysical Sciences and Engineering
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