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Матрица Карлемана в уравнениях теории упругости

Матрица Карлемана в уравнениях теории упругости

Олимджан Махмудов

64,56 €
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Editorial:
KS OmniScriptum Publishing
Año de edición:
2025
Materia
Matemáticas
ISBN:
9786208441074
64,56 €
IVA incluido
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В монографии представлено исследование метода Карлемана применительно к системе уравнений теории упругости в пространстве. Работа посвящена построению матрицы Карлемана, ее аналитическим и численным свойствам, а также применению для решения задач механики деформируемого твердого тела. Рассматриваются вопросы корректности, устойчивости и аппроксимации решений, особое внимание уделено асимптотическому анализу и методам регуляризации. Автор приводит детальное обоснование метода, исследует его эффективность по сравнению с классическими подходами и демонстрирует примеры численных расчетов. Полученные результаты могут быть полезны в области математической физики, теории упругости и инженерных приложений. Монография предназначена для математиков, механиков и специалистов в области численного моделирования.

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