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Vychislitel'naya Mekhanika
rusă
232 b
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Kniga soderzhit klassicheskie metody resheniya algebraicheskikh uravneniy i ikh sistem, metody chislennogo differentsirovaniya, integrirovaniya i interpolirovaniya, chislennye algoritmy resheniya zadachi Koshi dlya osnovnogo uravneniya dinamiki material'noy tochki, setochnye metody resheniya nachal'no-kraevykh zadach dlya uravneniy gidroaerodinamiki,teorii uprugosti, teplomassoperenosa. Izlagayutsya printsipy postroeniya yavnykh, neyavnykh i metoda al'ternativnykh napravleniy raznostnykh skhem uravneniy v chastnykh proizvodnykh parabolicheskogo,ellipticheskogo i giperbolicheskogo tipov i spetsificheskikh uravneniy mekhaniki sploshnoy sredy. Osoboe vnimanie udeleno obosnovaniyu osnovopolagayushchikh teoreticheskikh aspektov chislennykh metodov, kak approksimatsiya, ustoychivost', skhodimost' raznostnykh skhem i iteratsionnykh algoritmov, adekvatnaya postanovka usloviy v granichnykh uzlakh dlya promezhutochnykh velichin v skhemakh metoda drobnykh shagov, vyvodu zamknutykh sistem raznostnykh uravneniy dlya davleniya v zadachakh mekhaniki vyazkoy zhidkosti i aerotermodinamiki at-mosfernykh protsessov.
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