A Model-Order Reduction Approach to Parametric Electromagnetic Inversion.- Shifted-Laplacian Preconditioners for Heterogeneous Helmholtz Problems.- On Numerical Issues in Time Accurate Laminar Reacting Gas Flow Solvers.- Parallel Scientific Computing on Loosely Coupled Networks of Computers.- Data Assimilation Algorithms for Numerical Models.- Radial Basis Functions for Interface Interpolation and Mesh Deformation.- Least-Squares Spectral Element Methods in Computational Fluid Dynamics.- Finite-Volume Discretizations and Immersed Boundaries.- Large Eddy Simulation of Turbulent Non-Premixed Jet Flames with a High Order Numerical Method.- A Suite of Mathematical Models for Bone Ingrowth, Bone Fracture Healing and Intra-Osseous Wound Healing.- Numerical Modeling of the Electromechanical Interaction in MEMS.- Simulation of Progressive Failure in Composite Laminates.- Numerical Modeling of Wave Propagation, Breaking and Run-Up on a Beach.- Hybrid Navier-Stokes/DSMC Simulations of Gas Flows with Rarefied-Continuum Transitions.- Multi-Scale PDE-Based Design of Hierarchically Structured Porous Catalysts.- From Molecular Dynamics and Particle Simulations towards Constitutive Relations for Continuum Theory.