Mimetic discretization methods
To help solve physical and engineering problems, mimetic or compatible algebraic discretization methods employ discrete constructs to mimic the continuous identities and theorems found in vector calculus. Mimetic Discretization Methods focuses on the recent mimetic discretization method co-developed...
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Formato: | Libro electrónico |
Idioma: | Inglés |
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Boca Raton, Fla. :
CRC Press
2013.
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Edición: | 1st edition |
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Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009628834606719 |
Tabla de Contenidos:
- Front Cover; Contents; List of Figures; List of Tables; List of Algorithms; List of Symbols; Preface; Acknowledgments; 1. Introduction; 2. Continuum Mathematical Models; 3. Notes on Numerical Analysis; 4. Mimetic Differential Operators; 5. Object-Oriented Programming and C++; 6. Mimetic Methods Toolkit (MTK); 7. Nonuniform Structured Meshes; 8. Case Studies; A. Heuristic Deduction of the Extended Form of Gauss' Divergence Theorem; B. Tensor Concept: An Intuitive Approach; C. Total Force Due to Pressure Gradients; D. Heuristic Deduction of Stokes' Formula
- E. Curl in a Rotating Incompressible Inviscid LiquidF. Curl in Poiseuille's Flow; G. Green's Identities; H. Fluid Volumetric Time-Tate of Change; I. General Formulation of the Flux Concept; J. Fourth-Order Castillo-Grone Divergence Operators; References