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Partial Differential Equations Modelling and Numerical Simulation

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 de...

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Bibliographic Details
Other Authors: Glowinski, Roland (Editor), Neittaanmäki, Pekka (Editor)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 2008, 2008
Edition:1st ed. 2008
Series:Computational Methods in Applied Sciences
Subjects:
Engineering Mathematics
Mathematical Modeling And Industrial Mathematics
Mathematical Physics
Engineering / Data Processing
Differential Equations
Theoretical, Mathematical And Computational Physics
Mathematical And Computational Engineering Applications
Mathematical Models
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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 Simulating the Adhesion and Detachment of Chondrocytes in Shear Flow
  • Computing the Eigenvalues of the Laplace-Beltrami Operator on the Surface of a Torus: A Numerical Approach
  • Inverse Problems
  • A Fixed Domain Approach in Shape Optimization Problems with Neumann Boundary Conditions
  • Reduced-Order Modelling of Dispersion
  • Finance (Option Pricing)
  • Calibration of Lévy Processes with American Options
  • An Operator Splitting Method for Pricing American Options

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