| Preface | p. ix |
| Numerical Methods | p. 1 |
| An Optimal Order Multilevel Preconditioner with Respect to Problem and Discretization Parameters | p. 3 |
| 3D Numerical Simulation of Drop Coalescence | p. 19 |
| Fully Implicit Implementation of Boundary Conditions in Operator-Splitting Methods for Steady Incompressible Navier-Stokes Equations | p. 27 |
| Point-Distributed Algorithms on Locally Refined Grids for Second Order Elliptic Equations | p. 37 |
| Anisotropic Mesh Adaptation Through Hierarchical Error Estimators | p. 53 |
| Operator Splitting for Compressible Miscible Displacement in Porous Media | p. 67 |
| On Smoothers in Parallel Coupled Multigrid Methods for Incompressible Navier-Stokes Equations | p. 75 |
| Time-Evolving Interfaces in a Stokes Flow | p. 83 |
| Adaptive Finite Volume Element Method for Convection-Diffusion-Reaction Problems in 3-D | p. 91 |
| A Rectangular Immersed Finite Element Space for Interface Problems | p. 107 |
| Convergence Analysis For Quadrilateral Rotated Q[subscript 1] Elements | p. 115 |
| A Spectral Solver for the Three-Dimensional Navier-Stokes Equations in Velocity-Vorticity Formulation | p. 125 |
| B-spline Collocation Methods for Elasticity Problems | p. 133 |
| Moving Mesh Finite Element Methods Based on Harmonic Maps | p. 143 |
| Interface Solvers and Preconditioners of Domain Decomposition Type for Multiphase Flow in Multiblock Porous Media | p. 157 |
| Applications | p. 169 |
| Statistical Equipartition and the Method of Spectral Reduction | p. 171 |
| 2D Large Eddy Simulation of Highly Stratified Flow: The Stepwise Structure Effect | p. 179 |
| Time-Domain Computation of Acoustics with Realistic Geometry and Impedance Boundary Condition | p. 187 |
| The Effect of Numerical Diffusion on Gas-Solids Fluidized Beds and the Use of Deferred Correction in a Finite Volume Method to Stabilize High Order Discretization of Convection Terms | p. 201 |
| Fluid-Structure Interaction: Applications in Nonlinear Aeroelasticity | p. 211 |
| The Dynamic Response of a Two-dimensional Airfoil with Bilinear Structural Nonlinearity | p. 221 |
| A Numerical Approximation to the Solution of a Nonlocal Obstacle Thermistor Problem | p. 229 |
| Effect of Aspect Ratio on Three-Dimensional Natural Convection in a Horizontal Enclosure with a Uniform Heat Flux on the Lower Surface | p. 237 |
| Structure Preserving Integration Algorithms | p. 247 |
| Efficiency of Multigrid Methods for the Numerical Simulation of Coupled Fluid-Solid Problems | p. 257 |
| A Positive Spatial Advection Scheme on Triangular Meshes for Tracer Transport | p. 267 |
| A Dynamic Equilibrium Approach: The Application in Long-Term Energy Planning | p. 279 |
| Finite Element Pricing Methods for Pricing American Options on Stocks | p. 287 |
| Index | p. 295 |
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