Numerical Mathematics and Advanced Applications

Scalar Conservation Law Modelling Sedimentation.- PSI Solution of Convection-Diffusion Equations with Data in L1.- High Order Two Dimensional Numerical Schemes for the Coupling of Transport Equations and Shallow Water Equations.- Well-Balanced High-Order MUSTA Schemes for Non-Conservative Hyperbolic Systems.- Local Time Stepping for Implicit-Explicit Methods on Time Varying Grids.- A 'TVD-like' Scheme for Conservation Laws with Source Terms.- Application of the WAF Method to Shallow Water Equations with Pollutant and Non-Constant Bottom.- A Third Order Method for Convection-Diffusion Equations with a Delay Term.- A Third Order WLSQR Scheme on Unstructured Meshes with Curvilinear Boundaries.- On the Choice of Parameters in Stabilization Methods for Convection-Diffusion Equations.- On Path-Conservative Numerical Schemes for Hyperbolic Systems of Balance Laws.- An Augmented DG Scheme for Porous Media Equations.- A Remark to the DGFEM for Nonlinear Convection-Diffusion Problems Applied on Nonconforming Meshes.- BDF-DGFE Method for the Compressible Navier-Stokes Equations.- Discontinuous Galerkin Method for the Numerical Solution of Inviscid and Viscous Compressible Flow.- Numerical Integration in the Discontinuous Galerkin Method for Nonlinear Convection-Diffusion Problems in 3D.- Implicit-Explicit Runge-Kutta Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.- A Domain Decomposition Method Derived from the Primal Hybrid Formulation for 2nd Order Elliptic Problems.- A Posteriori Error Analysis of Penalty Domain Decomposition Methods for Linear Elliptic Problems.- BETI-DP Methods in Unbounded Domains.- Domain Decomposition and Model Reduction of Systems with Local Nonlinearities.- An Adaptive Discontinuous Galerkin Scheme for Second Order Problems with an Interface.- Abstract Sensitivity Analysis for Nonlinear Equations and Applications.- Multiscale Analysis for Jump Processes in Finance.- A Hybrid Numerical Scheme for Aerosol Dynamics.- Numerical Study of Mixed Finite Element and Multi Point Flux Approximation of Flow in Porous Media.- Local Projection Stabilization for the Oseen System on Anisotropic Cartesian Meshes.- Simulations of 3D Dynamics of Microdroplets: A Comparison of Rectangular and Cylindrical Channels.- Incomplete Interior Penalty Galerkin Method for a Nonlinear Convection-Diffusion Equation.- Numerical Simulations of Incompressible Laminar Flow for Newtonian and Non-Newtonian Fluids.- Numerical Solution of 2D and 3D Unsteady Viscous Flows.- Local Projection Stabilization of Finite Element Methods for Incompressible Flows.- A Numerical Study of Local Projection Stabilisations Applied to Oseen Problems.- Involutive Completion to Avoid LBB Condition.- Numerical Computation of Unsteady Compressible Flows with Very Low Mach Numbers.- A Mixed Hybrid Finite Element Discretization Scheme for Reactive Transport in Porous Media.- Applying Local Projection Stabilization to inf-sup Stable Elements.- Calibration of Model and Discretization Parameters for Turbulent Channel Flow.- Numerical Solution of Transonic and Supersonic 2D and 3D Fluid-Elastic Structure Interaction Problems.- Numerical Simulations of Flow Induced Vibrations of a Profile.- A Semi-Implicit Algorithm Based on the Augmented Lagrangian Method for Fluid-Structure Interaction.- Automated Multi-Level Substructuring for a Fluid-Solid Vibration Problem.- On Numerical Approximation of Fluid-Structure Interaction Problems.- Fishways Design: An Application of the Optimal Control Theory.- Moving Domain by Galerkin-Level Set Strategy: Application to Shape Geodesics.- Numerical Analysis of a Control and State Constrained Elliptic Control Problem with Piecewise Constant Control Approximations.- Globalization of Nonsmooth Newton Methods for Optimal Control Problems.- An Inexact Trust-Region SQP Method with Applications to PDE-Constrained Optimization.- Semi-Monotonic Augmented Lagrangians for Optimal Control and Parameter Identification.- An Optimal Control Problem for Stochastic Linear PDE's Driven by a Gaussian White Noise.- A Priori Error Analysis for the Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems.- A Priori Error Analysis for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems.- Multigrid Methods for Linear Elliptic Optimal Control Problems.- An Active Curve Approach for Tomographic Reconstruction of Binary Radially Symmetric Objects.- A Single-Pass Scheme for the Mean Curvature Motion of Convex Curves.- A Semi-Lagrangian Approximation of Min-Max Type for the Stationary Mean Curvature Equation.- Topological Derivative Based Methods for Non-lDestructive Testing.- A Characteristics Driven Fast Marching Method for the Eikonal Equation.- Hierarchical Model Reduction for Advection-Diffusion-Reaction Problems.- A Semi-Lagrangian Scheme for the Open Table Problem in Granular Matter Theory.- On a Variational Approximation of the Effective Hamiltonian.- Estimation of Diffusion Coefficients in a Scalar Ginzburg-Landau Equation by Using Model Reduction.- Reduced Order Models (POD) for Calibration Problems in Finance.- A Collocation Method for Quadratic Control Problems Governed by Ordinary Elliptic Differential Equations.- A Road Traffic Model with Overtaking: Continuation of the Oscillatory Patterns.- A Second Order Scheme for Solving Optimization-Constrained Differential Equations with Discontinuities.- Optimal Load Changes for a Molten Carbonate Fuel Cell Model.- Differential DAE Index for Reactive Euler Equations.- Application of a First Order Asymptotic Method for Modeling Singularly Perturbed BVPs.- Newton-Like Solver for Elastoplastic Problems with Hardening and its Local Super-Linear Convergence.- On a Fictitious Domain Method for Unilateral Problems.- Bifurcations in Contact Problems with Local Coulomb Friction.- Point Load on a Shell.