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Chislennoe Reshenie Lineynykh Integralnykh Uravneniy

Il'ya Fedotov

ISBN 10: 3848427958 / ISBN 13: 9783848427956
Published by LAP LAMBERT Academic Publishing
New Condition New Paperback
From BuySomeBooks (Las Vegas, NV, U.S.A.) Quantity Available: 20
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Paperback. 160 pages. Dimensions: 8.7in. x 5.9in. x 0.4in.Integralnye uravneniya v sovokupnosti s chislennymi metodami ikh resheniya yavlyayutsya moshchnym sredstvom issledovaniya razlichnykh zadach iz takikh oblastey matematicheskoy fiziki, kak teoriya uprugosti, akustika, gidrodinamika, elektrodinamika. Chislennoe reshenie lineynogo integralnogo uravneniya vtorogo roda proizvoditsya putem konechnomernoy approksimatsii sistemoy lineynykh algebraicheskikh uravneniy. V sluchae, esli obuslovlennost poluchennoy sistemy vysoka, skhodimost iteratsionnykh metodov ee resheniya okazyvaetsya ochen medlennoy. Eto mozhet ne sostavlyat vazhnosti v razovykh vychisleniyakh, odnako stanovitsya aktualnym, kogda trebuetsya mnogokratnoe reshenie uravneniya. Tak byvaet, k primeru, pri reshenii obratnykh zadach ili v sluchae resheniya nelineynykh uravneniy s ispolzovaniem linearizatsii. Dlya ponizheniya obuslovlennosti sistemy vypolnyaetsya ee podgotovka putem umnozheniya na vspomogatelnuyu matritsu (predobuslavlivatel, preconditioner), obladayushchuyu svoystvami, v chem-to blizkimi k svoystvam obratnoy matritsy sistemy. V rabote rassmatrivayutsya predobuslavlivateli, orientirovannye na chislennoe reshenie lineynykh integralnykh uravneniy vtorogo roda i osnovannye na idee gruboy approksimatsii obratnogo operatora. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Bookseller Inventory # 9783848427956

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Synopsis:

Integral'nye uravneniya v sovokupnosti s chislennymi metodami ikh resheniya yavlyayutsya moshchnym sredstvom issledovaniya razlichnykh zadach iz takikh oblastey matematicheskoy fiziki, kak teoriya uprugosti, akustika, gidrodinamika, elektrodinamika. Chislennoe reshenie lineynogo integral'nogo uravneniya vtorogo roda proizvoditsya putem konechnomernoy approksimatsii sistemoy lineynykh algebraicheskikh uravneniy. V sluchae, esli obuslovlennost' poluchennoy sistemy vysoka, skhodimost' iteratsionnykh metodov ee resheniya okazyvaetsya ochen' medlennoy. Eto mozhet ne sostavlyat' vazhnosti v razovykh vychisleniyakh, odnako stanovitsya aktual'nym, kogda trebuetsya mnogokratnoe reshenie uravneniya. Tak byvaet, k primeru, pri reshenii obratnykh zadach ili v sluchae resheniya nelineynykh uravneniy s ispol'zovaniem linearizatsii. Dlya ponizheniya obuslovlennosti sistemy vypolnyaetsya ee podgotovka putem umnozheniya na vspomogatel'nuyu matritsu (predobuslavlivatel', preconditioner), obladayushchuyu svoystvami, v chem-to blizkimi k svoystvam obratnoy matritsy sistemy. V rabote rassmatrivayutsya predobuslavlivateli, orientirovannye na chislennoe reshenie lineynykh integral'nykh uravneniy vtorogo roda i osnovannye na idee gruboy approksimatsii obratnogo operatora.

About the Author: Fedotov Il'ya Evgen'evich, kandidat fiziko-matematicheskikh nauk, dotsent MGTU MIREA, Moskva.

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Bibliographic Details

Title: Chislennoe Reshenie Lineynykh Integralnykh ...

Publisher: LAP LAMBERT Academic Publishing

Binding: Paperback

Book Condition: New

Book Type: Paperback

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