Partial Differential Equations

I. Discontinuous Galerkin and Mixed Finite Element Methods

1. Discontinuous Galerkin Methods
Vivette Girault, Mary F. Wheeler

2. Mixed Finite Element Methods on Polyhedral Meshes for Diffusion Equations
Yuri A. Kuznetsov

3. On the Numerical Solution of the Elliptic Monge—Ampère Equation in Dimension Two: A Least-Squares Approach
Edward J. Dean, Roland Glowinski

II. Linear and Nonlinear Hyperbolic Problems

4. Higher Order Time Stepping for Second Order Hyperbolic Problems and Optimal CFL Conditions
J. Charles Gilbert, Patrick Joly

5. Comparison of Two Explicit Time Domain Unstructured Mesh Algorithms for Computational Electromagnetics
Igor Sazonov, Oubay Hassan, Ken Morgan, Nigel P. Weatherill

6. The von Neumann Triple Point Paradox
Richard Sanders, Allen M. Tesdall

III. Domain Decomposition Methods

7. A Lagrange Multiplier Based Domain Decomposition Method for the Solution of a Wave Problem with Discontinuous Coefficients
Serguei Lapin, Alexander Lapin, Jacques Périaux, Pierre-Marie Jacquart

8. Domain Decomposition and Electronic Structure Computations: A Promising Approach
Guy Bencteux, Maxime Barrault, Eric Cancès, William W. Hager, Claude Bris

IV. Free Surface, Moving Boundaries and Spectral Geometry Problems

9. Numerical Analysis of a Finite Element/Volume Penalty Method
Bertrand Maury

10. A Numerical Method for Fluid Flows with Complex Free Surfaces
Andrea Bonito, Alexandre Caboussat, Marco Picasso, Jacques Rappaz

11. Modelling and Simulating the Adhesion and Detachment of Chondrocytes in Shear Flow
Jian Hao, Tsorng-Whay Pan, Doreen Rosenstrauch

12. Computing the Eigenvalues of the Laplace-Beltrami Operator on the Surface of a Torus: A Numerical Approach
Roland Glowinski, Danny C. Sorensen

V. Inverse Problems

13. A Fixed Domain Approach in Shape Optimization Problems with Neumann Boundary Conditions
Pekka Neittaanmäki, Dan Tiba

14. Reduced-Order Modelling of Dispersion
Jean-Marc Brun, Bijan Mohammadi

VI. Finance (Option Pricing)

15. Calibration of Lévy Processes with American Options
Yves Achdou

16. An Operator Splitting Method for Pricing American Options
Samuli Ikonen, Jari Toivanen

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Nyckelord: SCIENCE / Physics SCI055000