Partial Differential Equations : Modelling and Numerical Simulation. 1st ed. 2008

種類:

電子ブック

責任表示:

edited by Roland Glowinski, Pekka Neittaanmäki

出版情報:

Dordrecht : Springer Netherlands : Imprint: Springer, 2008

著者名:

• Glowinski, Roland.
• Neittaanmäki, Pekka.
• SpringerLink (Online service)

シリーズ名:

Computational Methods in Applied Sciences ; 16

ISBN:

9781402087585 [1402087586]    

注記:

Discontinuous Galerkin and Mixed Finite Element Methods -- Discontinuous Galerkin Methods -- Mixed Finite Element Methods on Polyhedral Meshes for Diffusion Equations -- On the Numerical Solution of the Elliptic Monge—Ampère Equation in Dimension Two: A Least-Squares Approach -- Linear and Nonlinear Hyperbolic Problems -- Higher Order Time Stepping for Second Order Hyperbolic Problems and Optimal CFL Conditions -- Comparison of Two Explicit Time Domain Unstructured Mesh Algorithms for Computational Electromagnetics -- The von Neumann Triple Point Paradox -- Domain Decomposition Methods -- A Lagrange Multiplier Based Domain Decomposition Method for the Solution of a Wave Problem with Discontinuous Coefficients -- Domain Decomposition and Electronic Structure Computations: A Promising Approach -- Free Surface, Moving Boundaries and Spectral Geometry Problems -- Numerical Analysis of a Finite Element/Volume Penalty Method -- A Numerical Method for Fluid Flows with Complex Free Surfaces -- Modelling and Simulatin
This book is dedicated to Olivier Pironneau. For more than 250 years partial differential equations have been clearly the most important tool available to mankind in order to understand a large variety of phenomena, natural at first and then those originating from human activity and technological development. Mechanics, physics and their engineering applications were the first to benefit from the impact of partial differential equations on modeling and design, but a little less than a century ago the Schrödinger equation was the key opening the door to the application of partial differential equations to quantum chemistry, for small atomic and molecular systems at first, but then for systems of fast growing complexity. Mathematical modeling methods based on partial differential equations form an important part of contemporary science and are widely used in engineering and scientific applications. In this book several experts in this field present their latest results and discuss trends in the numerical analys

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