Numerical Mathematics and Advanced Applications

for an Inverse Problem of a 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