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The Numerical Method of Lines and Duality Principles Applied to Models in Physics and Engineering

The Numerical Method of Lines and Duality Principles Applied to Models in Physics and Engineering

Hardcover

General MathematicsPhysics

ISBN10: 1032192097
ISBN13: 9781032192093
Publisher: CRC Press
Published: Feb 6 2024
Pages: 314
Weight: 1.40
Height: 0.75 Width: 6.14 Depth: 9.21
Language: English

The book includes theoretical and applied results of a generalization of the numerical method of lines. A Ginzburg-Landau type equation comprises the initial application, with detailed explanations about the establishment of the general line expressions. Approximate numerical procedures have been developed for a variety of equation types, including the related algorithms and software. The applications include the Ginzburg-Landau system in superconductivity, applications to the Navier-Stokes system in fluid mechanics and, among others, models in flight mechanics. In its second and final parts, the book develops duality principles and numerical results for other similar and related models.

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General Mathematics