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Record Nr. |
UNINA9911049108303321 |
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Autore |
Öchsner Andreas |
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Titolo |
An Introduction to the Classical Approximation Methods in Applied Mechanics / / by Andreas Öchsner |
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Pubbl/distr/stampa |
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Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2026 |
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ISBN |
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Edizione |
[1st ed. 2026.] |
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Descrizione fisica |
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1 online resource (116 pages) |
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Collana |
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SpringerBriefs in Computational Mechanics, , 2191-5350 |
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Disciplina |
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Soggetti |
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Mechanics, Applied |
Engineering Mechanics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Introduction -- Finite Difference Method -- Finite Element Method -- Finite Volume Method -- Boundary Element Method -- Comparison of the Methods. |
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Sommario/riassunto |
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This book presents a unified approach to classical approximation methods in engineering by applying the weighted residual method to transform differential equations into solvable algebraic systems. It demonstrates how this procedure underlies the finite difference, finite element, finite volume, and boundary element methods. The mechanical focus is on the one-dimensional tensile bar, allowing the mathematical framework and resulting matrix equations to be fully displayed and understood without symbolic abstraction. This approach supports a clear understanding of the derivation processes and is designed to help readers implement and extend features such as constitutive models in commercial simulation tools. |
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