Partial Differential Equations. Modelling and Numerical Simulation

Front Matter....Pages I-XVI
Discontinuous Galerkin Methods....Pages 3-26
Mixed Finite Element Methods on Polyhedral Meshes for Diffusion Equations....Pages 27-41
On the Numerical Solution of the Elliptic Monge—Ampère Equation in Dimension Two: A Least-Squares Approach....Pages 43-63
Higher Order Time Stepping for Second Order Hyperbolic Problems and Optimal CFL Conditions....Pages 67-93
Comparison of Two Explicit Time Domain Unstructured Mesh Algorithms for Computational Electromagnetics....Pages 95-112
The von Neumann Triple Point Paradox....Pages 113-128
A Lagrange Multiplier Based Domain Decomposition Method for the Solution of a Wave Problem with Discontinuous Coefficients....Pages 131-145
Domain Decomposition and Electronic Structure Computations: A Promising Approach....Pages 147-164
Numerical Analysis of a Finite Element/Volume Penalty Method....Pages 167-185
A Numerical Method for Fluid Flows with Complex Free Surfaces....Pages 187-208
Modelling and Simulating the Adhesion and Detachment of Chondrocytes in Shear Flow....Pages 209-223
Computing the Eigenvalues of the Laplace-Beltrami Operator on the Surface of a Torus: A Numerical Approach....Pages 225-232
A Fixed Domain Approach in Shape Optimization Problems with Neumann Boundary Conditions....Pages 235-244
Reduced-Order Modelling of Dispersion....Pages 245-256
Calibration of Lévy Processes with American Options....Pages 259-277
An Operator Splitting Method for Pricing American Options....Pages 279-292