Numerical Mathematics and Advanced Applications

PLENARY LECTURES.- Compatible Discretizations in Two Dimensions.- Finite Element Approximation of the Three Field Formulation of the Elasticity Problem Using Stabilization.- Convergence of Adaptive Wavelet Methods for Goal-Oriented Error Estimation.- Quadratic Programming and Scalable Algorithms for Variational Inequalities.- Discontinuous Galerkin Methods for Friedrichs' Systems.- Highly Oscillatory Quadrature: The Story so Far.- The 3D Inverse Electromagnetic Scattering Problem for a Coated Dielectric.- Functional Approach to Locally Based A Posteriori Error Estimates for Elliptic and Parabolic Problems.- Finite Element Approximation of 2D Parabolic Optimal Design Problems.- CONTRIBUTED LECTURES.- 3D Free Surface Flows Simulations Using a Multilayer Saint-Venant Model. Comparisons with Navier-Stokes Solutions.- Some Well-Balanced Shallow Water-Sediment Transport Models.- Highly Accurate Conservative Finite Difference Schemes and Adaptive Mesh Refinement Techniques for Hyperbolic Systems of Conservation Laws.- Finite Volume Solvers for the Shallow Water Equations Using Matrix Radial Basis Function Reconstruction.- CONTRIBUTED LECTURES.- On Numerical Schemes for a Hierarchy of Kinetic Equations.- Computational Aspects of the Mesh Adaptation for the Time Marching Procedure.- On the Use of Slope Limiters for the Design of Recovery Based Error Indicators.- CONTRIBUTED LECTURES.- On a Superconvergence Result for Mixed Approximation of Eigenvalue Problems.- Comparative Study of the a Posteriori Error Estimators for the Stokes Problem.- Error Control for Discretizations of Electromagnetic-Mechanical Multifield Problem.- A Safeguarded Zienkiewicz-Zhu Estimator.- CONTRIBUTED LECTURES.- Some Remarks on a Model for the Atmospheric Pressure in Ocean Dynamics.- Computational Time Improvement for Some Shallow Water Finite Volume Models Applying Parallelization and Optimized Small Matrix Computations..- CONTRIBUTED LECTURES.- Discretization Error Estimates for an Optimal Control Problem in a Nonconvex Domain.- A Posteriori Estimates for Cost Functionals of Optimal Control Problems.- CONTRIBUTED LECTURES.- Optimization of a Duality Method for the Compressible Reynolds Equation.- Time-Space & Space-Time Elements for Unsteady Advection-Dominated Problems.- On Discontinuity-Capturing Methods for Convection-Diffusion Equations.- Algebraic Flux Correction for Finite Element Approximation of Transport Equations.- A Parallel Multiparametric Gauss-Seidel Method.- A Numerical Scheme for the Micro Scale Dissolution and Precipitation in Porous Media.- CONTRIBUTED LECTURES.- Discrete Kinetic Methods for a Degenerate Parabolic Equation in Dimension Two..- Anisotropic Doubly Nonlinear Degenerate Parabolic Equations.- A Multiresolution Method for the Simulation of Sedimentation-Consolidation Processes.- Diffusive Relaxation Limit for Hyperbolic Systems.- Parallel Algorithms for Nonlinear Diffusion by Using Relaxation Approximation.- On a Degenerated Parabolic-Hyperbolic Problem Arising From Stratigraphy.- CONTRIBUTED LECTURES.- Schwarz Domain Decomposition Preconditioners for Interior Penalty Approximations of Elliptic Problems.- Higher Order Semi-Implicit Discontinuous Galerkin Finite Element Schemes for Nonlinear Convection-Diffusion Problems.- On Some Aspects of the Discontinuous Galerkin Method.- Mixed Discontinuous Galerkin Methods with Minimal Stabilization.- Discontinuous Galerkin Finite Element Method for a Fourth-Order Nonlinear Elliptic Equation Related to the Two-Dimensional Navier-Stokes Equations.- CONTRIBUTED LECTURES.- Fourier Method with Nitsche-Mortaring for the Poisson Equation in 3D.- Substructuring Preconditioners for the Bidomain Extracellular Potential Problem.- CONTRIBUTED LECTURES.- A Face Penalty Method for the Three Fields Stokes Equation Arising from Oldroyd-B Viscoelastic Flows.- Anisotropic H 1-Stable Projections on Quadrilateral Meshes.- Continuous Interior Penalty hp-Finite Element Methods for Transport Operators.- A Nonconforming Finite Element Method with Face Penalty for Advection-Diffusion Equations.- Efficient Multigrid and Data Structures for Edge-Oriented FEM Stabilization.- CONTRIBUTED LECTURES.- Adaptive Methods for Dynamical Micromagnetics.- Stability for Walls in Ferromagnetic Nanowire.- Continuous Galerkin Methods for Solving Maxwell Equations in 3D Geometries.- CONTRIBUTED LECTURES.- On the Use of the Gautschi-Type Exponential Integrator for Wave Equations.- Positivity of Exponential Multistep Methods.- CONTRIBUTED LECTURES.- Stability Results and Algorithmic Strategies for the Finite Element Approach to the Immersed Boundary Method.- CONTRIBUTED LECTURES.- A Comparison of Enthalpy and Temperature Methods for Melting Problems on Composite Domains.- Qualitative Properties of a Numerical Scheme for the Heat Equation.- Modeling Radiation and Moisture Content in Fire Spread.- Fast Multipole Method for Solving the Radiosity Equation.- Numerical Modelling of Kinetic Equations.- CONTRIBUTED LECTURES.- On a Subclass of Hölder Continuous Functions with Applications to Signal Processing.- Modelisation and Simulation of Static Grain Deep-Bed Drying.- Hybrid Godunov-Glimm Method for a Nonconservative Hyperbolic System with Kinetic Relations.- Cell-Average Multiwavelets Based on Hermite Interpolation.- On a General Definition of the Godunov Method for Nonconservative Hyperbolic Systems. Application to Linear Balance Laws.- Sequential Flux-Corrected Remapping for ALE Methods.- CONTRIBUTED LECTURES.- Orthogonal hp-FEM for Elliptic Problems Based on a Non-Affine Concept.- On Some Aspects of the hp-FEM for Time-Harmonic Maxwell's Equations.- CONTRIBUTED LECTURES.- Numerical Simulation of Phase-Transition Front Propagation in Thermoelastic Solids.- The Level Set Method for Solid-Solid Phase Transformations.- CONTRIBUTED LECTURES.- A Non-Monotone Fast Marching Scheme for a Hamilton-Jacobi Equation Modelling Dislocation Dynamics.- A Time-Adaptive Semi-Lagrangian Approximation to Mean Curvature Motion.- CONTRIBUTED LECTURES.- Heterogeneous Multiscale Methods with Quadrilateral Finite Elements.- Stabilizing the ?1/?0 Element for the Stokes Problem via Multiscale Enrichment.- Adaptive Multiresolution Methods for the Simulation of Shocks/Shear Layer Interaction in Confined Flows.- Local Projection Stabilization for the Stokes System on Anisotropic Quadrilateral Meshes.- An Interior Penalty Variational Multiscale Method for High Reynolds Number Flows.- Variational Multiscale Large Eddy Simulation of Turbulent Flows Using a Two-Grid Finite Element or Finite Volume Method.- Issues for a Mathematical Definition of LES.- Stabilized FEM with Anisotropic Mesh Refinement for the Oseen Problem.- Semi-Implicit Multiresolution for Multiphase Flows.- Numerical Simulation of Vortex-Dipole Wall Interactions Using an Adaptive Wavelet Discretization with Volume Penalisation.- Inviscid Flow on Moving Grids with Multiscale Space and Time Adaptivity.- CONTRIBUTED LECTURES.- A Relaxation Method for a Two Phase Flow with Surface Tension.- Extension of Interface Coupling to General Lagrangian Systems.- A Numerical Scheme for the Modeling of Condensation and Flash Vaporization in Compressible Multi-Phase Flows.- CONTRIBUTED LECTURES.- An Adaptive Operator Splitting of Higher Order for the Navier-Stokes Equations.- The POD Technique for Computing Bifurcation Diagrams: A Comparison among Different Models in Fluids.- Filtering of Singularities in a Marangoni Convection Problem.- On Application of Stabilized Higher Order Finite Element Method on Unsteady Incompressible Flow Problems.- Numerical Simulation of Coupled Fluid-Solid Systems by Fictitious Boundary and Grid Deformation Methods.- CONTRIBUTED LECTURES.- An Iterative Method for Solving Non-Linear Hydromagnetic Equations.- Mathematical and Numerical Analysis of a Class of Non-linear Elliptic Equations in the Two Dimensional Case.- CONTRIBUTED LECTURES.- A s-step Variant of the Double Orthogonal Series Algorithm.- Linear Equations in Quaternions.- Computing the Analytic Singular Value Decomposition via a Pathfollowing.- A Jacobi-Davidson Method for Computing Partial Generalized Real Schur Forms.- CONTRIBUTED LECTURES.- Pricing Multi-Asset Options with Sparse Grids and Fourth Order Finite Differences.- CONTRIBUTED LECTURES.- A Third Order Linearly Implicit Fractional Step Method for Semilinear Parabolic Problems.- Numerical Solution of Optimal Control Problems with Sparse SQP-Methods.- CONTRIBUTED LECTURES.- Semi-Deterministic Recursive Optimization Methods for Multichannel Optical Filters.- A Multigrid Method for Coupled Optimal Topology and Shape Design in Nonlinear Magnetostatics.- Nonsmooth Optimization of Eigenvalues in Topology Optimization.- Derivative Free Optimization of Stirrer Configurations.- Mathematical Modelling and Numerical Optimization in the Process of River Pollution Control.- CONTRIBUTED LECTURES.- A Family of C° Finite Elements for Kirchhoff Plates with Free Boundary Conditions.- A Postprocessing Method for the MITC Plate Elements.- A Uniformly Stable Finite Difference Space Semi-Discretization for the Internal Stabilization of the Plate Equation in a Square.- CONTRIBUTED LECTURES.- An ?-Uniform Hybrid Scheme for Singularly Perturbed 1-D Reaction-Diffusion Problems.- CONTRIBUTED LECTURES.- A Dynamic Frictional Contact Problem of a Viscoelastic Beam.- Numerical Analysis of a Frictional Contact Problem for Viscoelastic Materials with Long-Term Memory.- A Suitable Numerical Algorithm for the Simulation of the Butt Curl Deformation of an Aluminium Slab.- An Efficient Solution Algorithm for Elastoplasticity and its First Implementation Towards Uniform h- and p- Mesh Refinements.- CONTRIBUTED LECTURES.- A LDG-BEM Coupling for a Class of Nonlinear Exterior Transmission Problems.- High Order Boundary Integral Methods for Maxwell's Equations: Coupling of Microlocal Discretization and Fast Multipole Methods.- Indirect Methods with Brakhage-Werner Potentials for Helmholtz Transmission Problems.- A FEM-BEM Formulation for a Time-Dependent Eddy Current Problem.- Mixed Boundary Element-Finite Volume Methods for Thermohydrodynamic Lubrication Problems.- CONTRIBUTED LECTURES.- Numerical Modelling for Leaching of Pesticides in Soils Modified by a Cationic Surfactant.- Formulation of Mixed-Hybrid FE Model of Flow in Fractured Porous Medium.- Newton-Type Methods for the Mixed Finite Element Discretization of Some Degenerate Parabolic Equations.- CONTRIBUTED LECTURES.- Domain Decomposition Methods for Wave Propagation in Heterogeneous Media.- Galbrun's Equation Solved by a First Order Characteristics Method.- Open Subsystems of Conservative Systems.