Mathematical Models and Integration Methods : Seminar Proceedings on Applications to Mechanics and Physics -  - Books - De Gruyter - 9783111546254 - September 23, 2024
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Mathematical Models and Integration Methods : Seminar Proceedings on Applications to Mechanics and Physics

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The book compiles works presented at a seminar aiming to attract global experts in differential equations, mathematical modeling, and integration methods. It covers classical and contemporary integration techniques for partial differential equations, including Monge and Darboux's approaches and their extensions. Additionally, it introduces a novel theoretical model for plane turbulent flows, presents gravitational equations derived from the principle of least action, and explores symmetry-preserving conservative finite-difference schemes for hydrodynamic-type equations.

Analytical solutions for Maxwell's equations in incompressible viscoelastic mediums are examined, alongside theoretical-group analysis of wake mathematical models and reduction to ordinary differential equations. The book also delves into special classes of two-dimensional ideal fluid motion and advancements in discrete orthogonal polynomial theory, showcasing rapid decay properties near interval boundaries. In conclusion, this comprehensive collection is indispensable for researchers and practitioners in applied mathematics, fluid dynamics, and computational modeling, providing valuable insights into cutting-edge methods and solutions in the field.

Media Books     Hardcover Book   (Book with hard spine and cover)
Released September 23, 2024
ISBN13 9783111546254
Publishers De Gruyter
Pages 180
Dimensions 150 × 220 × 20 mm   ·   430 g

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