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Book synopsis

V khode izucheniya yavleniy prirody ogromnuyu rol' igraet problema adekvatnosti matematicheskikh modeley, kotorye sozdany dlya ikh opisaniya. Bez ee resheniya prirodnye protsessy effektivno ispol'zovat' na blago chelovecheskoy tsivilizatsii nevozmozhno. V monografii predlagaetsya algoritm postroeniya narastayushchikh so vremenem funktsionalov Lyapunova primenitel'no k lineynym zadacham teorii gidrodinamicheskoy ustoychivosti. On, v chastnosti, pozvolyaet poluchat' konstruktivnye dostatochnye usloviya prakticheskoy lineynoy neustoychivosti. V svoyu ochered', nastoyashchie usloviya mogut byt' interpretirovany kak chislennyy algoritm, vpervye v istorii nauki postroennyy bez diskretizatsii uravneniy dvizheniya. Eto daet vozmozhnost' ispol'zovat' ikh ne tol'ko dlya proverki adekvatnosti matematicheskikh modeley, no i dlya obespecheniya tochnosti rezul'tatov chislennykh raschetov, kotoraya byla by sopostavima s tochnost'yu rezul'tatov analiticheskikh issledovaniy, i dlya upravleniya evolyutsiey fizicheskikh yavleniy v zhidkostyakh, gazakh i plazme. Kniga budet interesna chitatelyam, spetsializiruyushchimsya v oblastyakh magnitnoy gidrodinamiki, matematicheskoy teorii ustoychivosti, gazogidrodinamiki, matematicheskogo modelirovaniya, differentsial'nykh uravneniy i ikh prilozheniy.

Book details

• Full title: Pryamoy Metod Lyapunova
• Author: Yuriy Gennad'evich Gubarev
• Language: Russian
• Binding: Paperback
• Number of pages: 192
• EAN: 9783847391050
• ISBN: 3847391054
• ID: 07169823
• Publisher: Palmarium Academic Publishing
• Weight: 290 g
• Dimensions: 229 × 152 × 11 mm
• Date of publishing: 01. March 2012

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